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1 Diploma in Construction & the Built Environment / Civil Engineering YEAR 2014_15 QAN 500/7140/3 & 500/7137/3 (Btec Programmes: JW986 JW987 JW988) ASSIGNMENT BOOKLET (semester based) UNIT 14 STRUCTURAL MECHANICS Unit code: J/600/0228 Credit value: 10 This unit is internally assessed In order to pass this unit, the evidence that the learner presents for assessment needs to demonstrate that they can meet all of the learning outcomes for the unit. The criteria for a pass grade describe the level of achievement required to pass this unit. Pass grade work is treated as formative assessment and as such the student will receive feedback to enable a resubmission within one week to correct any errors or omissions. Late work will only be accepted with a full completed mitigating circumstance form attached. Higher grade work is treated as summative assessment and hence may receive oral feedback in tutorials but not once formally submitted. This means that there will be no resubmissions available with higher grade work. Learners are expected to be largely autonomous when carrying out merit grade work. The standard of English, grammar, sentence structure etc is expected to be synonymous with the higher grade attempted. Higher Grade work will not be marked if it is submitted late. No of Assignment: No. of in class test: No of Practicals / field visits: 9 3 0 SUMMARY OF SUBMISSION: Complete to keep track of your work Criteria Date Submitted Assessor signature LEARNERS NAME (in capitals) P1 P2 In class test Missing these test will be detrimental to your achievement P3 In class test P4 P5 P6 ENSURE THAT THE CORRECT PART OF THIS ASSIGNMENT BOOKLET IS RETURNED WITH YOUR SUBMISSION. (e.g. for assignment 1 return sheet 3 to 6 P7 P8 In class test P9 M1 M2 THIS PAGE IS TO BE USED AS A RECORD/PROOF OF SUBMISSION. ENSURE EACH PIECE OF WORK SUBMITTED IS SIGNED FOR. M3 D1 D2 This assignment booklet is available on the authors Website: www.angelofilomeno.com. Queries may be sent via email to: [email protected] (submissions will NOT be accepted via this route)

ASSIGNMENT BOOKLET (semester based) UNIT 14 STRUCTURAL ... · Environment/Civil Engineering 2 JW986 JW987 JW988 Unit 14 Structural Mechanics 1099C Assignment No & Title ASSIGNMENT

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Page 1: ASSIGNMENT BOOKLET (semester based) UNIT 14 STRUCTURAL ... · Environment/Civil Engineering 2 JW986 JW987 JW988 Unit 14 Structural Mechanics 1099C Assignment No & Title ASSIGNMENT

1

Diploma in Construction

& the Built Environment / Civil Engineering YEAR 2014_15 QAN 500/7140/3 & 500/7137/3

(Btec Programmes: JW986 JW987 JW988)

ASSIGNMENT BOOKLET

(semester based)

UNIT 14

STRUCTURAL MECHANICS

Unit code: J/600/0228 Credit value: 10 This unit is internally assessed

In order to pass this unit, the evidence that the learner presents for assessment needs to demonstrate

that they can meet all of the learning outcomes for the unit. The criteria for a pass grade describe the

level of achievement required to pass this unit. Pass grade work is treated as formative assessment and

as such the student will receive feedback to enable a resubmission within one week to correct any errors

or omissions. Late work will only be accepted with a full completed mitigating circumstance form

attached.

Higher grade work is treated as summative assessment and hence may receive oral feedback in

tutorials but not once formally submitted. This means that there will be no resubmissions available

with higher grade work. Learners are expected to be largely autonomous when carrying out merit

grade work. The standard of English, grammar, sentence structure etc is expected to be synonymous

with the higher grade attempted. Higher Grade work will not be marked if it is submitted late. No of Assignment: No. of in class test: No of Practicals / field visits:

9 3 0

SUMMARY OF SUBMISSION: Complete to keep track of your work

Criteria Date Submitted Assessor signature LEARNERS NAME (in capitals)

P1

P2 In class test Missing these test

will be detrimental

to your achievement P3 In class test

P4

P5

P6

ENSURE THAT THE CORRECT PART OF

THIS ASSIGNMENT BOOKLET IS

RETURNED WITH YOUR SUBMISSION. (e.g.

for assignment 1 return sheet 3 to 6

P7

P8 In class test

P9

M1

M2 THIS PAGE IS TO BE USED AS A

RECORD/PROOF OF SUBMISSION.

ENSURE EACH PIECE OF WORK

SUBMITTED IS SIGNED FOR.

M3

D1

D2

This assignment booklet is available on the authors Website: www.angelofilomeno.com.

Queries may be sent via email to: [email protected] (submissions will NOT be accepted

via this route)

Page 2: ASSIGNMENT BOOKLET (semester based) UNIT 14 STRUCTURAL ... · Environment/Civil Engineering 2 JW986 JW987 JW988 Unit 14 Structural Mechanics 1099C Assignment No & Title ASSIGNMENT

2

UNIT 14: Structural Mechanics

TRACKING SHEET FOR ............................................................................

Ass

ig

No.

Criteria / Description HAND IN

DATE

Dates when

assessed Items to be submitted Initial when

achieved

1 P1. explain the behaviour of beams and

columns under load

02/10/2014

a - deflected shape, stress involved

b- deflected shape, stress involved

c- deflected shape, stress involved

d- deflected shape, stress involved

e- deflected shape, stress involved

f- deflected shape, stress involved

g- deflected shape, stress involved

h- deflected shape, stress involved

i- sketch i, sketch ii, examples

j- sketch stress diagram: i,ii

j- iii, 4 deflected shapes

J - iv, explanation with sketches x 3 minimum

2 P2. determine reactive forces and plot

shear force and bending moment

diagrams for a simply supported beam 16/10/2014 TEST

a- i, ii, iii, iv, v

b- i, ii, iii, iv, v

3 P3. determine reactive forces and plot

shear force and bending moment

diagrams for a cantilever beam 6/11/2014 TEST

a- i, ii, iii, iv, v

b- i, ii, iii, iv, v

4

P4. determine the forces acting in a determinate frame using

Mathematical and graphical

techniques

27/11/2014 a - i, ii (table)

b - i, ii (table)

5 P5. determine the maximum stress in a

short column under axial and eccentric loads

11/12/2014 a- i, ii, iii, iv, v

b- i, ii, iii, iv, v, vi

6 P6. produce suitable section sizes for

axially loaded columns 08/01/2015

a -timber post

b -steel stanchion

c -RC column

d - Limit state v Permissible stress design

7 P7. produce suitable section sizes for

simply supported beams subject to combined loading

15/01/2015 a - timber beam design

b - RSJ design

c - RC slab design

8 P8. produce a suitable section for a mass

retaining wall that is safe in

overturning, sliding and settlement 22/01/2015 TEST a - i, ii, iii, iv, v, vi

9 P9. explain the benefits of using computer

software in structural analysis and

design. 04/12/2014

Printout- Observation in class --Note early

submission date

3

M1. explain the relationship between shear force and bending moment and the

significance of the point of

contraflexure

after P3 Differential Equations for bending

5 M2. explain how the effective length of a

column is determined under different

restraint conditions after P5 column effective lengths

7 M3. compare alternative methods of

designing structural members in terms

of British Standards after P7 Comparison of differing design methods

4 D1. compare numerical and graphical

methods of solving forces in

Frameworks after P4 Frame solutions

7 D2. evaluate alternative design methods in

terms of their application for a given design brief

after M3 Evaluation of differing design methods

THIS SHEET TO BE KEPT UPDATED IN TUTORIALS

Latest Submission for higher grade work: 4:00pm - 22nd

January 2015

Page 3: ASSIGNMENT BOOKLET (semester based) UNIT 14 STRUCTURAL ... · Environment/Civil Engineering 2 JW986 JW987 JW988 Unit 14 Structural Mechanics 1099C Assignment No & Title ASSIGNMENT

3

Learner Name Learner Registration No. Assessor Name

Angelo Filomeno

Qualification and Programme Number Unit Number and Title

BTEC Level 3

Diploma in Construction & The Built

Environment/Civil Engineering

JW986 JW987 JW988

Unit 14 Structural Mechanics

21099C

Assignment No & Title

ASSIGNMENT 1------------------------------------Behaviour under load

Deadlines: If you do not meet the deadlines for handing in your assignments you may not have your work marked. This could result in you failing

the course unless there are exceptional circumstances which must be explained to your tutor and agreed by the Curriculum Manager. Your work

should be returned to you marked within 10 working days

Criteria

Ref. No.

Date

Issued

Date

Submitted Resubmission Date(s) (if necessary) / Feedback

Met?

Y/N

Assessor

Sig./Date

P1

All decisions or grades are subject to internal and/ or external verification and may be modified.

If you feel that an assessment decision is unjustified, you are entitled to appeal. Please refer to your course handbook or speak to your

teacher or tutor for details as to how to do this.

Assessor’s General Comments/Feedback/ Action Plan:

Learner Comments: (Ensure you read the assessment criteria and teacher’s comments)

Learner’s Declaration: I certify that the work submitted for this assignment is my own and research sources are fully acknowledged.

Learner signature:

Date:

Assessor signature Date

Page 4: ASSIGNMENT BOOKLET (semester based) UNIT 14 STRUCTURAL ... · Environment/Civil Engineering 2 JW986 JW987 JW988 Unit 14 Structural Mechanics 1099C Assignment No & Title ASSIGNMENT

4

Unit 14: Structural Mechanics in Construction Assignment 1-- Behaviour under load

To achieve a grade the

evidence must show that

the learner is able to

meet the following

Criteria:

To be completed, ready

for submission by:- 02/10/2014 (Behaviour under load sketches----P1)

Assessor to

Indicate, sign &

date when criteria

achieved

P1.

explain the

behaviour of

beams and

columns under

load.

These tasks must be completed to help you produce the evidence required: Aid to answering and assessment

Sketch the likely deflected shape for each of the following beams or cantilevers

under the loads shown and indicate the type of stresses involved:

Behaviour of

structural elements:

beams in bending and

shear; stresses and

deflection;

learners must explain,

with the use of

supportive sketches,

the general behaviour

of beams and columns

under load.

Evidence could be in

the form of a written

report with supportive

diagrams.

a) Cantilever

b) Propped Cantilever

c) Encastre Beram (fixed both ends)

d) Simply supported beam

e) Contiuous Beam

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5

P1. (continued)

Sketch the likely deflected shape for each of the following structures and

indicate the type of members and stresses involved: Combined behaviour:

bracing of

frameworks for

stability;

f) 3 Pin (or Hinge) Arch

g) Portal Frame (Rigid Joints)

h) Framed Truss

i) Explain the behaviour of piers and walls by sketching the following;

i. Sketch an example where external buttress walls are used to add stability to

a structure.

ii. Sketch an example where internal walls are used to aid stability to a

structure.

Indicate, in both cases, examples of the type of structure where these walls occur.

use of walls for

stability

Support Support

Load

Page 6: ASSIGNMENT BOOKLET (semester based) UNIT 14 STRUCTURAL ... · Environment/Civil Engineering 2 JW986 JW987 JW988 Unit 14 Structural Mechanics 1099C Assignment No & Title ASSIGNMENT

6

j) Explain column behaviour by answering the following;

i. Sketch the deflection likely for the various differently restrained columns

shown below.

ii. Explain with the aid of sketches and give real examples of what the restraint

terms "fixed"," pinned" and and "free" actually mean to column/beam

connections.

iii. Sketch the stress diagram under a short column subjected to an axial load W

iv. Sketch the stress diagram if the load W moves to an eccentric position

within the middle third of the section.

columns and struts

under direct load

and eccentric

load; effect of

restraint on

members in

compression

Load

Free

Fixed Pinned

Pinned

Load

Pinned

Load

Fixed

Load

Fixed

Fixed

Page 7: ASSIGNMENT BOOKLET (semester based) UNIT 14 STRUCTURAL ... · Environment/Civil Engineering 2 JW986 JW987 JW988 Unit 14 Structural Mechanics 1099C Assignment No & Title ASSIGNMENT

7

Learner Name Learner Registration No. Assessor Name

Angelo Filomeno

Qualification and Programme Number Unit Number and Title

BTEC Level 3

Diploma in Construction & The Built

Environment/Civil Engineering

JW986 JW987 JW988

Unit 14 Structural Mechanics

21099C

Assignment No & Title

ASSIGNMENT 2-----------------------Structural Mechanics problems

Deadlines: If you do not meet the deadlines for handing in your assignments you may not have your work marked. This could result in you failing

the course unless there are exceptional circumstances which must be explained to your tutor and agreed by the Curriculum Manager. Your work

should be returned to you marked within 10 working days

Criteria

Ref. No.

Date

Issued

Date

Submitted Resubmission Date(s) (if necessary) / Feedback

Met?

Y/N

Assessor

Sig./Date

P2

THIS WILL BE AN IN CLASS TEST

All decisions or grades are subject to internal and/ or external verification and may be modified.

If you feel that an assessment decision is unjustified, you are entitled to appeal. Please refer to your course handbook or speak to your

teacher or tutor for details as to how to do this.

Assessor’s General Comments/Feedback/ Action Plan:

Learner Comments: (Ensure you read the assessment criteria and teacher’s comments)

Learner’s Declaration: I certify that the work submitted for this assignment is my own and research sources are fully acknowledged.

Learner signature:

Date:

Assessor signature Date

Page 8: ASSIGNMENT BOOKLET (semester based) UNIT 14 STRUCTURAL ... · Environment/Civil Engineering 2 JW986 JW987 JW988 Unit 14 Structural Mechanics 1099C Assignment No & Title ASSIGNMENT

8

Unit 14: Structural Mechanics in Construction Assig. 2- structural mechanics problems To achieve a grade the

evidence must show that

the learner is able to meet

the following Criteria:

To be completed, ready

for submission by:-

16/10/2014 (Reactions SFD & BMD----Beams calcs ---P2)

Assessor to

Indicate, sign

& date when

criteria

achieved

P2.

explain the

behaviour of

beams and

columns under

load.

Tasks which will help you produce the evidence required:

THIS WILL BE AN IN CLASS TEST (Load values and configuration may change)

Aid to answering and assessment

BEAMS:

a) Determine reactive forces and plot shear force and bending moment diagrams for the

simply supported beam, carrying combined load shown below.

Use the techniques of shear force and bending moment to analyse the

effect of loading for the beam shown above.

i. Calculate the unknown reactions.

ii. Draw the shear force diagram for the beam.

iii. What is the maximum value of shear force? Where on the beam is this located?

iv. Draw the bending moment diagram for the beam.

v. What is the maximum value of bending moment? Where on the beam is this

located?

Structural mechanics

problems: relating to

beams;

Beams: point loads;

reactions; shear force

values; bending moment

values; simply supported

beams without cantilever

ends. relationship

between shear force and

bending moment; point of

contraflexure;

All working in finding the reactions should be

clearly shown.

SFD should be drawn to

an appropriate scale and on proper graph paper.

The supporting

calculations of bending

moment at the plotted

points should be shown.

50kN 20kN 40kN

Support

A Support

B

9m 10m 11m 6m 7m 8m 3m 4m 5m 1m 2m

60k

N

Page 9: ASSIGNMENT BOOKLET (semester based) UNIT 14 STRUCTURAL ... · Environment/Civil Engineering 2 JW986 JW987 JW988 Unit 14 Structural Mechanics 1099C Assignment No & Title ASSIGNMENT

9

b) Determine reactive forces and plot shear force and bending moment diagrams for

the simply supported beam, carrying combined load shown below.

Use the techniques of shear force and bending moment to analyse the effect of loading

for the beam shown above.

i. Calculate the unknown reactions.

ii. Draw the shear force diagram for the beam.

iii. What is the maximum value of shear force? Where on the beam is this located?

iv. Draw the bending moment diagram for the beam.

v. What is the maximum value of bending moment? Where on the beam is this

located?

Structural mechanics

problems: relating to

beams;

Beams: point loads;

uniformly distributed

loads (UDLs); combined

loads; reactions; shear

force values; bending

moment values; simply

supported beams with

cantilever ends;

All working in finding the

reactions should be

clearly shown.

SFD should be drawn to

an appropriate scale and

on proper graph paper.

The supporting

calculations of bending

moment at the plotted

points should be shown.

40kN

UDL 10 kN/m

9m 6m 7m 8m 3m 4m 5m 1m 2m

50kN

Support A Support B

Page 10: ASSIGNMENT BOOKLET (semester based) UNIT 14 STRUCTURAL ... · Environment/Civil Engineering 2 JW986 JW987 JW988 Unit 14 Structural Mechanics 1099C Assignment No & Title ASSIGNMENT

10

Learner Name Learner Registration No. Assessor Name

Angelo Filomeno

Qualification and Programme Number Unit Number and Title

BTEC Level 3

Diploma in Construction & The Built

Environment/Civil Engineering

JW986 JW987 JW988

Unit 14 Structural Mechanics

21099C

Assignment No & Title

ASSIGNMENT 3------------------Structural Mechanics problems II

Deadlines: If you do not meet the deadlines for handing in your assignments you may not have your work marked. This could result in you failing

the course unless there are exceptional circumstances which must be explained to your tutor and agreed by the Curriculum Manager. Your work

should be returned to you marked within 10 working days

Criteria

Ref. No.

Date

Issued

Date

Submitted Resubmission Date(s) (if necessary) / Feedback

Met?

Y/N

Assessor

Sig./Date

P3

THIS WILL BE AN IN CLASS TEST

M1

All decisions or grades are subject to internal and/ or external verification and may be modified.

If you feel that an assessment decision is unjustified, you are entitled to appeal. Please refer to your course handbook or speak to your

teacher or tutor for details as to how to do this.

Assessor’s General Comments/Feedback/ Action Plan:

Learner Comments: (Ensure you read the assessment criteria and teacher’s comments)

Learner’s Declaration: I certify that the work submitted for this assignment is my own and research sources are fully acknowledged.

Learner signature:

Date:

Assessor signature Date

Page 11: ASSIGNMENT BOOKLET (semester based) UNIT 14 STRUCTURAL ... · Environment/Civil Engineering 2 JW986 JW987 JW988 Unit 14 Structural Mechanics 1099C Assignment No & Title ASSIGNMENT

11

Unit 14: Structural Mechanics in Construction Assig. 3- Structural mechanics problems II To achieve a grade the

evidence must show that the

learner is able to meet the

following Criteria:

To be completed, ready for

submission by:-

30/10/2014 (Reactions SFD & BMD----Cantilevers ---P3)

Assessor to

Indicate, sign

& date when

criteria

achieved

P3. determine

reactive forces and

plot shear force

and bending

moment diagrams

for a cantilever

beam

Tasks which will help you produce the evidence required:

THIS WILL BE AN IN CLASS TEST (Load values and configuration may change)

Aid to answering /

assessment

CANTILEVERS:

a) Determine reactive forces and plot shear force and bending moment diagrams for the

cantilever beam , carrying combined load shown below.

Use the techniques of shear force and bending moment to analyse the effect

of loading for the beam shown above.

i. Calculate the unknown reactions.

ii. Draw the shear force diagram for the beam.

iii. What is the maximum value of shear force? Where on the beam is this located?

iv. Draw the bending moment diagram for the beam.

v. What is the maximum value of bending moment? Where on the beam is this located?

All working in

finding the

reactions should be clearly shown.

SFD should be

drawn to an appropriate scale

and on proper

graph paper.

The supporting

calculations of

bending moment

at the plotted

points should be

shown

Fixed Support A

3m 4m 5m 1m 2m

30kN 40kN 20kN

Page 12: ASSIGNMENT BOOKLET (semester based) UNIT 14 STRUCTURAL ... · Environment/Civil Engineering 2 JW986 JW987 JW988 Unit 14 Structural Mechanics 1099C Assignment No & Title ASSIGNMENT

12

P3 continued

b) Determine reactive forces and plot shear force and bending moment diagrams for the

cantilever beam, carrying combined load shown below.

Use the techniques of shear force and bending moment to analyse the effect

of loading for the beam shown above.

i. Calculate the unknown reactions.

ii. Draw the shear force diagram for the beam.

iii. What is the maximum value of shear force? Where on the beam is this located?

iv. Draw the bending moment diagram for the beam.

v. What is the maximum value of bending moment? Where on the beam is this located?

All working in

finding the

reactions should

be clearly shown.

SFD should be

drawn to an

appropriate scale and on proper

graph paper.

The supporting

calculations of

bending moment

at the plotted

points should be

shown

3m 4m 5m 6m 7m

UDL 10kN/m

Fixed Support A

1m 2m

40kN 20kN

Page 13: ASSIGNMENT BOOKLET (semester based) UNIT 14 STRUCTURAL ... · Environment/Civil Engineering 2 JW986 JW987 JW988 Unit 14 Structural Mechanics 1099C Assignment No & Title ASSIGNMENT

13

MERIT OPPORTUNITY: Will not be assessed until all PASS criteria have been completed. Assessor to

Indicate, sign &

date when criteria

achieved

To achieve a MERIT grade the

evidence must show that, in

addition to the pass criteria, the

learner is able to meet the following

criteria:

Completing the tasks below will help you meet the criteria: Higher grade work is treated as summative

assessment and hence may receive oral feedback in tutorials but not once formally submitted. This means that there will be

no resubmissions available with higher grade work. Learners are expected to be largely autonomous when carrying out merit

grade work. The standard of English, grammar, sentence structure etc is expected to be synonymous with the higher grade

attempted.

M1. explain the

relationship between shear

force and bending moment

and the significance of the

point of contraflexure.

i. Find reactions RL and RR

ii. By evaluating the bending moment M at a point x metre from the left obtain an algebraic expression

for the bending moment at any point on the beam

iii. State the mathematical relationship between the expression for bending moment and the expression

for shear force on the beam.

iv. Hence show how it possible to obtain an algebraic expression for shear force.

v. Sketch the shear force diagram for the beam.

vi. At what position on the beam is the shear force equal to zero?

vii. Evaluate the bending moment at the point of zero shear. What is distinctive about the value of

bending moment at the point of zero shear?

viii. What is a point of "contraflexure"?

ix. For which common beam material is a point of contraflexure of special significance? Explain fully.

LATEST SUBMISSION DATE FOR HIGHER GRADE WORK IS NOON ON 15th

January 2015

RL RR

x

UDL W kN/m

Page 14: ASSIGNMENT BOOKLET (semester based) UNIT 14 STRUCTURAL ... · Environment/Civil Engineering 2 JW986 JW987 JW988 Unit 14 Structural Mechanics 1099C Assignment No & Title ASSIGNMENT

14

Learner Name Learner Registration No. Assessor Name

Angelo Filomeno

Qualification and Programme Number Unit Number and Title

BTEC Level 3

Diploma in Construction & The Built

Environment/Civil Engineering

JW986 JW987 JW988

Unit 14 Structural Mechanics

21099C

Assignment No & Title

ASSIGNMENT 4------------------Structural Mechanics problems III

Deadlines: If you do not meet the deadlines for handing in your assignments you may not have your work marked. This could result in you failing

the course unless there are exceptional circumstances which must be explained to your tutor and agreed by the Curriculum Manager. Your work

should be returned to you marked within 10 working days

Criteria

Ref. No.

Date

Issued

Date

Submitted Resubmission Date(s) (if necessary) / Feedback

Met?

Y/N

Assessor

Sig./Date

P4

D1

All decisions or grades are subject to internal and/ or external verification and may be modified.

If you feel that an assessment decision is unjustified, you are entitled to appeal. Please refer to your course handbook or speak to your

teacher or tutor for details as to how to do this.

Assessor’s General Comments/Feedback/ Action Plan:

Learner Comments: (Ensure you read the assessment criteria and teacher’s comments)

Learner’s Declaration: I certify that the work submitted for this assignment is my own and research sources are fully acknowledged.

Learner signature:

Date:

Assessor signature Date

Page 15: ASSIGNMENT BOOKLET (semester based) UNIT 14 STRUCTURAL ... · Environment/Civil Engineering 2 JW986 JW987 JW988 Unit 14 Structural Mechanics 1099C Assignment No & Title ASSIGNMENT

15

Unit 14: Structural Mechanics in Construction Assig. 4- structural mechanics problems III To achieve a grade the

evidence must show that the

learner is able to meet the

following Criteria:

To be completed, ready for

submission by:-

13/11/2014 (Frames ---P4)

Assessor to

Indicate, sign & date

when criteria

achieved

P4. determine the

forces acting in a

determinate frame

using Mathematical

and graphical

techniques

Tasks which will help you produce the evidence required: Aid to answering and assessment

FRAMES:

a) The diagram shows a pin-jointed framework supported at its left and right

hand ends.

i. Find the reactions RL and RR,

ii. Use the method of resolution of forces to identify the size and nature of the

forces in each member of the frame

Frameworks: statically determinate; pin-jointed;

subject to dead loads and wind loads

Copy and complete the following table:

Member Force in member Strut or Tie

AB

AE

CD

DE

BE

BC

CE

10kN 20kN

60°

E

60°

60° 60°

2.000m 2.000m RR RL

B C

A D

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P4. continued

b) The diagram shows a pin-jointed roof truss of 8.000m span subject to

loadings as shown.

Use the method of Bow's notation to identify the size and nature of the forces in

each member of the frame.

i. Draw an accurate and well-presented scale diagram to represent the internal

forces in the frame.

ii. Present the magnitude of the forces and type (strut or Tie) in each member in

tabular form

Frameworks: statically

determinate; pin-

jointed; subject to dead

loads and wind loads

Page 17: ASSIGNMENT BOOKLET (semester based) UNIT 14 STRUCTURAL ... · Environment/Civil Engineering 2 JW986 JW987 JW988 Unit 14 Structural Mechanics 1099C Assignment No & Title ASSIGNMENT

17

DISTINCTION OPPORTUNITY: Will not be assessed unless all MERIT criteria have been completed. Assessor to

Indicate, sign &

date when criteria

achieved

To achieve a DISTINCTION grade

the evidence must show that, in

addition to the MERIT criteria, the

learner is able to meet the following

criteria:

Completing the tasks below will help you meet the criteria: Higher grade work is treated as summative

assessment and hence may receive oral feedback in tutorials but not once formally submitted. This means that there will be

no resubmissions available with higher grade work. Learners are expected to be largely autonomous when carrying out merit

grade work. The standard of English, grammar, sentence structure etc is expected to be synonymous with the higher grade

attempted.

D1. compare numerical

and graphical methods of

solving forces in

Frameworks

Solve the above two frames by alternate means to those already employed and compare and contrast

the methods used.

i.e. question a) by using graphical means

and question b) by using resolution of forces.

Compare and contrast the two methods of solution

LATEST SUBMISSION DATE FOR HIGHER GRADE WORK IS NOON ON 15th

January 2015

Page 18: ASSIGNMENT BOOKLET (semester based) UNIT 14 STRUCTURAL ... · Environment/Civil Engineering 2 JW986 JW987 JW988 Unit 14 Structural Mechanics 1099C Assignment No & Title ASSIGNMENT

18

Learner Name Learner Registration No. Assessor Name

Angelo Filomeno

Qualification and Programme Number Unit Number and Title

BTEC Level 3

Diploma in Construction & The Built

Environment/Civil Engineering

JW986 JW987 JW988

Unit 14 Structural Mechanics

21099C

Assignment No & Title

ASSIGNMENT 5------------------Structural Mechanics problems IV

Deadlines: If you do not meet the deadlines for handing in your assignments you may not have your work marked. This could result in you failing

the course unless there are exceptional circumstances which must be explained to your tutor and agreed by the Curriculum Manager. Your work

should be returned to you marked within 10 working days

Criteria

Ref. No.

Date

Issued

Date

Submitted Resubmission Date(s) (if necessary) / Feedback

Met?

Y/N

Assessor

Sig./Date

P5

M2

All decisions or grades are subject to internal and/ or external verification and may be modified.

If you feel that an assessment decision is unjustified, you are entitled to appeal. Please refer to your course handbook or speak to your

teacher or tutor for details as to how to do this.

Assessor’s General Comments/Feedback/ Action Plan:

Learner Comments: (Ensure you read the assessment criteria and teacher’s comments)

Learner’s Declaration: I certify that the work submitted for this assignment is my own and research sources are fully acknowledged.

Learner signature:

Date:

Assessor signature Date

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Unit 14: Structural Mechanics in Construction Assig. 5- structural mechanics problems IV To achieve a grade the

evidence must show that the

learner is able to meet the

following Criteria:

To be completed, ready for

submission by:-

27/11/2014 (Short Columns ---P5)

Assessor to

Indicate, sign &

date when

criteria

achieved

P5. determine

the maximum

stress in a short

column under

axial and eccentric

loads

Tasks which will help you produce the evidence required:

COLUMNS:

a) The Diagram shows the cross-section through a rectangular brick column 300 mm by 450 mm. An

eccentric concentrated load of 270 kN is located on the Y-axis and at a variable distance 'e' from the

X-axis.

i. What is the maximum value of eccentricity 'e' consistent with there being no forces of tension within

the column?

ii. Calculate the value of the bending stress developed in the column with an eccentricity of 50 mm.

iii. What is the value of the direct stress loading generated in the column by the action of the 270kN

load?

iv. Deduce the maximum and minimum values of stress developed within the column with the load at

this eccentricity.

v. Sketch a "stress indicator diagram" showing the progression of stress value across the section.

Aid to

answering and

assessment

Columns:

axially loaded;

eccentrically

loaded

effective

length;

maximum

stress; short

columns; long

columns

Y

Y

X

225mm 225mm

e 270kN

X

15

0m

m

15

0m

m

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P5 continued

b) An isolated brick column is to support a single beam load, as shown in the diagram, with its centre of

bearing at an eccentricity of 50 mm on the major axis

i. Calculate the "design loading" on the column using:

Design Loading = 1.4 x Dead Load + 1.6 x Live Load

ii. What is the value of the direct stress generated in the column by the action of the design load?

iii. Calculate the value of the bending stress developed in the column by the moment associated with the

design load.

iv. Deduce the consequent maximum and minimum values of stress developed within the column.

v. Suppose that an inaccuracy in construction results in the centre of bearing of the beam load having a 20

mm eccentricity on the minor axis as well, directed towards D and C (that is a 'double eccentricity').

How would the stress at points A, B, C and D be affected?

vi. How would the design change if the column was made of steel and considered to be a long column.

Y

Y

X

225mm 225mm

X

15

0m

m

15

0m

m

50mm

A B

D C

Beam Reaction:

100 kN Dead load

50kN Live load

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21

MERIT OPPORTUNITY: Will not be assessed until all PASS criteria have been completed.

To achieve a MERIT grade the

evidence must show that, in

addition to the pass criteria, the

learner is able to meet the

following criteria:

Completing the tasks below will help you meet the criteria: Higher grade work is treated as summative assessment

and hence may receive oral feedback in tutorials but not once formally submitted. This means that there will be no

resubmissions available with higher grade work. Learners are expected to be largely autonomous when carrying out merit grade

work. The standard of English, grammar, sentence structure etc is expected to be synonymous with the higher grade attempted.

Assessor to Indicate,

sign & date when

criteria achieved

M2. explain how the

effective length of a

column is determined

under different restraint

conditions

a) A steel section is being used as a column and is 3.0m in length. It is embedded for an extra 1.0m length

in the concrete foundations. Calculate the effective length under the following different first floor beam

connection configurations. Justify any assumptions:

i. First floor beam resting on top of the column

ii. First floor beam welded to the column and to welded on flange and web cleats.

iii. First floor beam connected with lower flange cleats only (bolted)

b) Recalculate the effective lengths if the bottom of the column is welded to a base plate and the base plate is

bolted with two bolts to the concrete foundation:

i. First floor beam resting on top of the column

ii. First floor beam welded to the column and to welded on flange and web cleats.

iii. First floor beam connected with lower flange cleats only (bolted)

iv. Sketch a better lower end arrangement which would make any restraint assumption more valid.

LATEST SUBMISSION DATE FOR HIGHER GRADE WORK IS NOON ON 15th January 2015

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22

Learner Name Learner Registration No. Assessor Name

Angelo Filomeno

Qualification and Programme Number Unit Number and Title

BTEC Level 3

Diploma in Construction & The Built

Environment/Civil Engineering

JW986 JW987 JW988

Unit 14 Structural Mechanics

21099C

Assignment No & Title

ASSIGNMENT 6----------------------Design simple beams & columns

Deadlines: If you do not meet the deadlines for handing in your assignments you may not have your work marked. This could result in you failing

the course unless there are exceptional circumstances which must be explained to your tutor and agreed by the Curriculum Manager. Your work

should be returned to you marked within 10 working days

Criteria

Ref. No.

Date

Issued

Date

Submitted Resubmission Date(s) (if necessary) / Feedback

Met?

Y/N

Assessor

Sig./Date

P6

All decisions or grades are subject to internal and/ or external verification and may be modified.

If you feel that an assessment decision is unjustified, you are entitled to appeal. Please refer to your course handbook or speak to your

teacher or tutor for details as to how to do this.

Assessor’s General Comments/Feedback/ Action Plan:

Learner Comments: (Ensure you read the assessment criteria and teacher’s comments)

Learner’s Declaration: I certify that the work submitted for this assignment is my own and research sources are fully acknowledged.

Learner signature:

Date:

Assessor signature Date

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Unit 14: Structural Mechanics in Construction Assig. 6- Design simple beams and columns To achieve a grade the

evidence must show that the

learner is able to meet the

following Criteria:

To be completed, ready for

submission by:-

18/12/2014 (Short Columns ---P6)

Assessor to

Indicate, sign

& date when

criteria

achieved

P6. produce

suitable section

sizes for axially

loaded columns

Tasks which will help you produce the evidence required: Aid to answering and

assessment

a) Calculate the permissible axial load for a timber post of SC2 class timber with an effective

length of 3.45m and a nominal cross sectional size of 150mm x 150mm.

Ref to appendix A: Table 12.1 (adapted from BS 5268)

b) A steel stanchion of grade 43 steel 4.75m in length and of UC in cross section is

required to support a factored axial load of 2500 kN. The column is rigidly bolted at the

bottom to the foundations and bolted to a lightweight beam at the top. Design a suitable

section that could be used.

Ref to appendix A: Table 12.2,12.3 and 12.4 (adapted from BS 5985)

c) A 250mm square reinforced concrete column with an effective length of 3m contains four

25mm diameter steel longitudinal bars. Calculate the safe axial load for the column if the

permissible stress for concrete in direct compression is 5.3n/mm2 and the permissible

stress for the steel is 125n/mm2 . Base your design on permissible stress design.

d) Compare the above design to limit state design given in BS8110 -part 3 which contains

design charts.

Columns: axial

load capacity (for

steel, reinforced

concrete, timber);

limit state design;

British Standards

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24

Learner Name Learner Registration No. Assessor Name

Angelo Filomeno

Qualification and Programme Number Unit Number and Title

BTEC Level 3

Diploma in Construction & The Built

Environment/Civil Engineering

JW986 JW987 JW988

Unit 14 Structural Mechanics

21099C

Assignment No & Title

ASSIGNMENT 7------------------Design simple beams & columns II

Deadlines: If you do not meet the deadlines for handing in your assignments you may not have your work marked. This could result in you failing

the course unless there are exceptional circumstances which must be explained to your tutor and agreed by the Curriculum Manager. Your work

should be returned to you marked within 10 working days

Criteria

Ref. No.

Date

Issued

Date

Submitted Resubmission Date(s) (if necessary) / Feedback

Met?

Y/N

Assessor

Sig./Date

P7

M3

D2

All decisions or grades are subject to internal and/ or external verification and may be modified.

If you feel that an assessment decision is unjustified, you are entitled to appeal. Please refer to your course handbook or speak to your

teacher or tutor for details as to how to do this.

Assessor’s General Comments/Feedback/ Action Plan:

Learner Comments: (Ensure you read the assessment criteria and teacher’s comments)

Learner’s Declaration: I certify that the work submitted for this assignment is my own and research sources are fully acknowledged.

Learner signature:

Date:

Assessor signature Date

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25

Unit 14: Structural Mechanics in Construction Assig. 7- Design simple beams and columns II To achieve a grade the

evidence must show that the

learner is able to meet the

following Criteria:

To be completed, ready for

submission by:- 08/01/2014 (Beam designs ---P7) Assessor to

Indicate, sign &

date when criteria

achieved

P7. produce

suitable section sizes

for simply supported

beams subject to

combined loading

Tasks which will help you produce the evidence required: Aid to answering

and assessment

a ) Check the stresses and the deflection in the lower roof beam and ridge beam for the

conversion sketched below.

Use the following parameters:

Snow Load = 0.75KN/m2

Dead load = 0.7 kN/m2

Allow for a live point load (maintenance access) at the centre of the span of 1.5kN

Lower roof beam = 300mm x 75mm structural grade (C27) timber section

Ridge beam = 300 x 100 mm structural grade (C27) timber section

Permissible stress:

Modification Factor for snow load = 1.25

Grade Bending Stress for timber beams used (C27) = 10.0 N/mm2

Maximum Permissible Deflection = 0.003 of the span

Formulae:

Mmax =

Mmax =

Deflection =

x

Z =

, I =

Beams: safe

loading (for steel,

reinforced

concrete, timber);

shear; bending;

limit state design;

British Standards

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26

P7 continued

b ) What size RSJ could be used for the lower roof beam instead of the timber section

designed above . Justify your answer with full design calculations.

c ) Calculate the steel mesh reinforcement required in the suspended floor slab for the

residential building sketched below. Make justified assumptions as necessary.

You may assume the following:

depth of slab is 150mm

concrete cover is 20mm

15 mm finishing screed on the slab

Ref to Appendix

B for design

tables

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27

MERIT OPPORTUNITY: Will not be assessed until all PASS criteria have been completed.

To achieve a MERIT grade the

evidence must show that, in

addition to the pass criteria, the

learner is able to meet the following

criteria:

Completing the tasks below will help you meet the criteria: Higher grade work is treated as summative

assessment and hence may receive oral feedback in tutorials but not once formally submitted. This means that there

will be no resubmissions available with higher grade work. Learners are expected to be largely autonomous when

carrying out merit grade work. The standard of English, grammar, sentence structure etc is expected to be synonymous

with the higher grade attempted.

Assessor to Indicate, sign

& date when criteria

achieved

M3. compare alternative

methods of designing

structural members in

terms of British

Standards.

With respect to the design work completed in assignment 7, research and then compare alternative

methods of designing the structural members in terms of British Standards.

Guidance: List and Compare British Standards codes of design with the newer Eurocodes

LATEST SUBMISSION DATE FOR HIGHER GRADE WORK IS NOON ON 15th

January 2015

DISTINCTION OPPORTUNITY: Will not be assessed unless all MERIT criteria have been completed.

To achieve a DISTINCTION grade

the evidence must show that, in

addition to the MERIT criteria, the

learner is able to meet the following

criteria:

Completing the tasks below will help you meet the criteria: Higher grade work is treated as summative

assessment and hence may receive oral feedback in tutorials but not once formally submitted. This means that there

will be no resubmissions available with higher grade work. Learners are expected to be largely autonomous when

carrying out merit grade work. The standard of English, grammar, sentence structure etc is expected to be synonymous

with the higher grade attempted.

Assessor to Indicate, sign

& date when criteria

achieved

D2. evaluate alternative

design methods in terms

of their application for a

given design brief

With respect to the work completed for assignment 7 and the research carried out for assignment M3

evaluate the various design methods available for structural elements and discuss their applications to

the design briefs for a project.

Guidance: You need to compare the older elastic method of analysis with the newer probability based

limit state designs. Compare calculation based design with tabular and chart methods.

LATEST SUBMISSION DATE FOR HIGHER GRADE WORK IS NOON ON 15th

January 2015

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28

Learner Name Learner Registration No. Assessor Name

Angelo Filomeno

Qualification and Programme Number Unit Number and Title

BTEC Level 3

Diploma in Construction & The Built

Environment/Civil Engineering

JW986 JW987 JW988

Unit 14 Structural Mechanics

21099C

Assignment No & Title

ASSIGNMENT 8------------------Design mass retaining walls

Deadlines: If you do not meet the deadlines for handing in your assignments you may not have your work marked. This could result in you failing

the course unless there are exceptional circumstances which must be explained to your tutor and agreed by the Curriculum Manager. Your work

should be returned to you marked within 10 working days

Criteria

Ref. No.

Date

Issued

Date

Submitted Resubmission Date(s) (if necessary) / Feedback

Met?

Y/N

Assessor

Sig./Date

P8

THIS WILL BE AN IN CLASS TEST

All decisions or grades are subject to internal and/ or external verification and may be modified.

If you feel that an assessment decision is unjustified, you are entitled to appeal. Please refer to your course handbook or speak to your

teacher or tutor for details as to how to do this.

Assessor’s General Comments/Feedback/ Action Plan:

Learner Comments: (Ensure you read the assessment criteria and teacher’s comments)

Learner’s Declaration: I certify that the work submitted for this assignment is my own and research sources are fully acknowledged.

Learner signature:

Date:

Assessor signature Date

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Unit 14: Structural Mechanics in Construction Assig. 8- Design mass retaining walls

To achieve a grade the

evidence must show that the

learner is able to meet the

following Criteria:

To be completed, ready for

submission by:- 15/01/2015 (Mass retaining wall ---P8) Assessor to Indicate,

sign & date when

criteria achieved

P8. produce a

suitable section for

a mass retaining

wall that is safe in

overturning,

sliding and

settlement

Tasks which will help you produce the evidence required:

THIS WILL BE AN IN CLASS TEST (Load values and configuration may change)

The diagram shows a section through a concrete retaining wall:

i Find the weight per metre run of wall.

ii Find the position of the centroid of the section.

iii Find the thrust exerted on the wall by the retained soil and the location of the centre of pressure.

iv What is the factor of safety against sliding?

v What is the factor of safety against overturning?

vi Find the pressures under the wall at the toe A and heel B.

Mass retaining walls:

forces (soils, level

surcharge, liquid);

self-weight; stability;

factors of safety eg

sliding, overturning,

ground bearing

capacity, middle third

rule

Design Data:

The concrete used in the wall weighs 24 kN/m3

The wall retains soil on its vertical face weighing

15 kN/m3

The depth of the retained soil is 3.300 m

The angle of repose of the soil is 30°

The coefficient of friction at the base of the wall

is 0.7

1.8

m

1.5

m

Retained Soil

A B

1.0 m 1.2 m

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30

Learner Name Learner Registration No. Assessor Name

Angelo Filomeno

Qualification and Programme Number Unit Number and Title

BTEC Level 3

Diploma in Construction & The Built

Environment/Civil Engineering

JW986 JW987 JW988

Unit 14 Structural Mechanics

21099C

Assignment No & Title

ASSIGNMENT 9----------------------------Use of software in analysis

Deadlines: If you do not meet the deadlines for handing in your assignments you may not have your work marked. This could result in you failing

the course unless there are exceptional circumstances which must be explained to your tutor and agreed by the Curriculum Manager. Your work

should be returned to you marked within 10 working days

Criteria

Ref. No.

Date

Issued

Date

Submitted Resubmission Date(s) (if necessary) / Feedback

Met?

Y/N

Assessor

Sig./Date

P9

All decisions or grades are subject to internal and/ or external verification and may be modified.

If you feel that an assessment decision is unjustified, you are entitled to appeal. Please refer to your course handbook or speak to your

teacher or tutor for details as to how to do this.

Assessor’s General Comments/Feedback/ Action Plan:

Learner Comments: (Ensure you read the assessment criteria and teacher’s comments)

Learner’s Declaration: I certify that the work submitted for this assignment is my own and research sources are fully acknowledged.

Learner signature:

Date:

Assessor signature Date

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Unit 14: Structural Mechanics in Construction Assig. 9- Use of Software in analysis

To achieve a grade the

evidence must show that the

learner is able to meet the

following Criteria:

To be completed, ready for

submission by:- 27/11/2014 -- (Software printouts --P9) Assessor to Indicate,

sign & date when

criteria achieved

P9. explain the

benefits of using

computer software

in structural

analysis and

design.

Tasks which will help you produce the evidence required: Aid to answering and assessment

Discuss the benefits of using computer software you have used or

researched to facilitate structural analysis and designing structural

elements. You should supply printouts/ screenshots to support your

argument.

Types: spreadsheets; design

packages eg STAAD.pro

Advantages: automated loading of

structures; integration of CAD

drawings; inter-operability; section

choices

Recommended reading:

Structures for Architects, Gauld, Bryan J. B., Pearson, 1995, ISBN-13:978-0-582-23658-5

Structural Mechanics, Durka et al, Longman, 1989, ISBN-0-582-01851-X

Structural Elements Design Manual, Draycott, Trevor, Newnes, 1990, ISBN-0-7506-03135

Extracts from British Standards for students of Structural Design, BSI

Relevant BS and Eurocodes

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Appendix A:

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Appendix B

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