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R. C. Technical Institute, Sola Mechanical Engineering Department Semester 3 rd Subject Name: Human Resources Management ----------------------------------------------------------------------------------------------------------- ASSIGNMENT-1 [1] Define Productivity. [2] What is motivation? [3] List qualities of Good Supervisor. [4] State in short the Impact of human element on Industrial harmony. [5] What are the primary needs of human being? Discuss. [6] List the Function of Human resources management. [7] Describe the role of group in organization. [8] Give importance of Maslow‟s need hierarchy in managing human resource. [9] Discuss the factors affecting the decision making. [10] Explain brainstorming. [11] Write short notes on “Joheri window”. [12] Give any two desirable characteristics of a group member. [13] State the two reasons for HRM in industry [14] State the concept of Douglas McGregor [15] Write in brief about the need of self-actualization [16] State the relation between productivity and morale [17] State the method of improving interpersonal competence [18] What is Ethics? [19] Explain interpersonal behaviour. [20] List the types of groups.

R. C. Technical Institute, Sola Mechanical Engineering …€¦ · 4 Draw neat Sketch Of Vernier caliper and micrometer . 5 What do you mean by foundry? 6 Explain selection of pattern

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R. C. Technical Institute, Sola

Mechanical Engineering Department

Semester – 3rd

Subject Name: Human Resources Management

-----------------------------------------------------------------------------------------------------------

ASSIGNMENT-1

[1] Define Productivity.

[2] What is motivation?

[3] List qualities of Good Supervisor.

[4] State in short the Impact of human element on Industrial harmony.

[5] What are the primary needs of human being? Discuss.

[6] List the Function of Human resources management.

[7] Describe the role of group in organization.

[8] Give importance of Maslow‟s need hierarchy in managing human resource.

[9] Discuss the factors affecting the decision making.

[10] Explain brainstorming.

[11] Write short notes on “Joheri window”.

[12] Give any two desirable characteristics of a group member.

[13] State the two reasons for HRM in industry

[14] State the concept of Douglas McGregor

[15] Write in brief about the need of self-actualization

[16] State the relation between productivity and morale

[17] State the method of improving interpersonal competence

[18] What is Ethics?

[19] Explain interpersonal behaviour.

[20] List the types of groups.

R. C. Technical Institute, Sola

Mechanical Engineering Department

Semester – 3rd

Subject Name: Human Resources Management

-----------------------------------------------------------------------------------------------------------

ASSIGNMENT-2

[1] Define Leadership.

[2] Name the types of trainings.

[3] What is the need of counselling?

[4] What is Positive attitude?

[5] Explain characteristics of stress.

[6] What is difference between Refresher training and promotion training.

[7] Explain the causes of conflicts.

[8] State the need and importance of motivation.

[9] State the need for the change.

[10] State the objectives of trade union

[11] State the barriers to change process.

[12] State the techniques to deal with the people effectively.

[13] List the qualities of good leader.

[14] Name the stress measurement techniques

[15] What is job satisfaction?

[16] What is the difference between induction training and promotion

[17] What is the difference between induction training and promotion

[18] What is the role of team in the organization?

[19] State the barriers to change process

[20] What are the causes of stress? How it is harmful to the organization?

R. C. Technical Institute, Sola

Mechanical Engineering Department

Semester – 3rd

Subject Name: Human Resources Management

-----------------------------------------------------------------------------------------------------------

ASSIGNMENT-3

[1] Give any four factors affecting the decision making.

[2] What is concept of stress management?

[3] Discuss the qualities of good leader.

[4] Explain relaxation techniques of stress management.

[5] State the constructive role of trade unions in change management.

[6] What is group dynamics? State the types of groups.

[7] Discuss the process of Decision making.

[8] Write short note on „X‟ and „Y‟ theory.

[9] Describe the impact of human factor on productivity.

[10] How can we motivate the people?

[11] Power influence and compliance. Discuss in short.

[12] Name the five resources in the organization

[13] What is a change?

[14] State the factors affecting decision making process

[15] Explain any one type of leadership style.

[16] Write the importance of training.

[17] Explain the methods of relieving stress

[18] Explain interpersonal competence.

[19] Explain the role of motivator in organization

[20] What are the disadvantages of negative attitude?

R. C. TECHNICAL INSTITUTE, SOLA

MECHANICAL DEPARTMENT

SEMESTER – 3

SUBJECT NAME& CODE :FLUID MECHANICS AND HYDRAULIC MACHINES (3331903)

ASSIGNMENT-1

1.Define following terms with their SI units.

1. Density

2. Specific weight

3. Specific gravity

4. Dynamic viscosity

5. Kinematic viscosity

6. Surface tension

7. Capillarity

8. Compressibility

9. Vapour pressure

10. Specific volume

2. Define fluid and explain types of fluid.

3. Define absolute pressure, gauge pressure, vacuum.

4. State Pascal‟s law and prove it.

5. Explain the construction , working, advantages and Dis Advantages of pelton wheel with neat sketch.

6. Explain the following type of flow

(1) Uniform flow and Non Uniform flow

(2) One dimensional flow, two dimensional flow ,three dimensional flow

(3) Laminar flow and turbulent flow

(4) Steady and unsteady flow

7. Define following Terms.

(1) Stream Line (2) Path Line (3) Stream Tube

8. Explain the term “Impact of jet”. Derive the equation of force due to

impact of jet on stationary flat vertical plate

9. A 5cm diameter of jet moving with a velocity of 30m/s, is strikes a

moving flat plate normal to the jet. Plate is moving with a velocity of 8

m/s. Calculate work done per sec and efficiency.

10. Water flow with 2 lit/s from pipe of 200 mm diameter with 400 kpa pressure and pipe is 100 mm at a

height from datum than find out Total Energy for ideal fluid.

11. Water flow with 6 m/s velocity with 3200 lit/minute through a pipe than decide the size of pipe.

12. Classify pressure measuring devices and explain any one.

13. Explain Differential manometer with sketch and suitable formula.

14. A simple manometer is used to measure pressure of flowing water. The right limb of manometer is

opened to atmosphere and left limb is attached to centre of pipe. The center of pipe is at a level of

mercury in right limb. If the difference of mercury height between to limb is 14 Cm. then calculate

pressure.

15. Explain the following form of energy (a) Pressure Energy (b)Potential Energy (3) Kinetic energy

R. C. TECHNICAL INSTITUTE, SOLA

MECHANICAL DEPARTMENT

SEMESTER – 3

SUBJECT NAME& CODE :FLUID MECHANICS AND HYDRAULIC MACHINES (3331903)

Assignment-2

1. Write assumption and limitations of Bernoulli‟s equation

2. With neat sketch explain the Reynolds‟s Experiments.

3. Explain water hammer effect and arrangement to overcome water hammer effect.

4. Write the equation for discharge for Orifice meter. How can we measure velocity of

fluid with the help of this equation?

5. Calculate the discharge in lit/sec for water flowing through rectangular notch of 50

cm. length. The constant head over notch is 30cm. Take Cd=0.70

6. Derive the equation for head of inclined venture meter

7. Derive Bernoulli‟s equation from Euler‟s equation.

8. Explain following hydraulic co-efficient.

(i)Co-efficient of contraction(ii) Co-efficient of Discharge

(iii) Co-efficient of velocity

9. A horizontal venturimeter is use for measuring discharge of water, whose inlet and

throat diameters are 75 mm and 25 mm respectively. The reading of differential

manometer connected between inlet and throat is 41.2 cm of mercury. If the co-

efficient of venturimeter is 0.97, find the discharge

10. An oil specific viscosity 0.15 N-s/m2 and specific gravity 0.81 flows through a pipe of

140mm diameter at the flow rate of 0.03 m3/sec. Determine whether flow is laminar

or turbulent.

R. C. TECHNICAL INSTITUTE, SOLA

MECHANICAL DEPARTMENT

SEMESTER – 3

SUBJECT NAME& CODE :FLUID MECHANICS AND HYDRAULIC MACHINES (3331903)

Assignment-3

1. Explain Multi stage pump in series and parallel.

2. Give the difference between Centrifugal Pump and Reciprocating Pump

3. Describe Gear Pump with neat sketch

4. Explain the working of reciprocating pump with neat sketch

5. Describe construction of Kaplan turbine.

6. Write method for turbine maintenance.

7. Write the advantages and disadvantages of air motor.

8. Draw any three symbols used for flow control valve in fluid circuit.

9. Explain application of surface and depth filters used in hydraulic system.

10. Name the element use in Pneumatic Circuit

11. Explain Hydraulic Cylinders.

12. Explain the working of Hydraulic lift with neat sketch

13. Draw the following symbols in Pneumatic circuit.

(1) Hydro pump (2) Pressure Regulator

(3) Pressure gauge (4) Accumulator

14. A C.F. pump transmits 14.71kw power against the total head of 15m of water. Find the

discharge of water in liter/minute, if efficiency of the pump is 72%.

R. C. Technical Institute, Sola

Mechanical Engineering Department

Semester – 3rd

Subject Name: Thermodynamics

--------------------------------------------------------------------------------------------------

ASSIGNMENT-1

[1] Explain thermodynamic system with example.

[2] Define following terms (1) Energy (2) Heat (3) Work

[3] Lists of the basic thermodynamic properties. Explain any five.

[4] Difference between following terms (Min 2 in each)

a) Point function and Path function

b) Process and Cycle

c) Extensive Properties and Intensive Properties

d) Reversible Process and Irreversible Process

e) Thermodynamic cycle and Mechanical cycle

[5] State Zeroth and First law of thermodynamics.

[6] Derive of SFEE. Explain how SFEE is applied to Nozzle and boiler.

[7] Prove that internal energy is a property.

[8] In a gas turbine, air enters with velocity 220 m/s and enthalpy 5678 KJ/Kg with steady mass

flow rate of 3.6 Kg/sec. Gas exits from the system at velocity 170 m/s and enthalpy 4560 KJ/Kg. If

54 KJ/Kg heat is wasted in to the surroundings, find power developed by the gas turbine.

.

R. C. Technical Institute, Sola

Mechanical Engineering Department

Semester – 3rd

Subject Name: Thermodynamics

--------------------------------------------------------------------------------------------------

ASSIGNMENT-2

[1] Explain with neat sketch (a) Boyle‟s law (b) Charle‟s law (c) Gay-Lussac Law (d) Regnault‟s

Law

[2] Define Characteristic gas constant (R) and Universal gas constant (Ru) and write its unit.

[3] Explain Cp and Cv with definition, units and its value and Prove that Cp -Cv=R

[4] N2 gas is filled in closed cylinder of 2 m3

volume at 50 bar absolute pressure. Its temperature is

300 C. Determine mass of gas if atomic weight (M) of N2 gas is 28.

[5] Derive equation of work done in isentropic process.

[6] Put your view on paper about “Throttling Process”

[7]1 kg air at 1.5 bar absolute pressure and 300 C temperature is compressed at constant pressure

until its volume rises to three times. Determine following.

(1) Change in internal energy (2) Change in enthalpy

Take Cp=1.002 KJ/Kg K and Cv=0.714 KJ/Kg K

[8] Show following process on P-V & T-S plane. (a) Constant volume process (b) Isothermal

Process (c) Isentropic Process (d) Isobaric Process.

R. C. Technical Institute, Sola

Mechanical Engineering Department

Semester – 3rd

Subject Name: Thermodynamics

--------------------------------------------------------------------------------------------------

ASSIGNMENT-3

[1] Explain the C.O.P. of refrigerator, Heat pump and thermal efficiency of heat engine.

[2] Explain Kelvin Plank statement of Second law of thermodynamics with neat sketch.

[3]Derive equation of air standard efficiency of an Otto cycle.

[4] Represent diesel cycle on P-V & T-S diagrams and explain its processes.

[5] Differentiate Power producing and Power absorbing cycle

[6] Explain the term Entropy. Discuss the practical significance of entropy

[7] Gas turbine works on Brayton cycle between 6 bar and 1 bar pressure. Find air standard

efficiency. Take Ү =1.4

[8] An engine working on Otto cycle is supplied with air at 0.1 MPa, 30O

C the compression ratio is

5. Heat supplied is 2000 KJ/Kg. Calculate the maximum pressure, temperature of the cycle and the

cycle efficiency. Take Cp= 1.005 KJ/Kg , Cv= 0.718 KJ/Kg, R=0.287 KJ/KgK

[9]In Diesel cycle the compression ratio is 16, pressure and temperature in beginning of the

compression stroke are 1 bar & 20 0C respectively and the maximum temperature of the cycle 1430

0C. Find the thermal efficiency of the cycle.

R.C.Technical Institute –Sola, Ahmedabad

Mechanical Department

Mechanical Engineering for Printing-(3335801)

Assignment -01

Sr

No. Question

1 Give list and also define all the mechanical properties.

2 Give the Name Of physical and thermal Properties.

3 List materials used for engineering application.

4 Draw neat Sketch Of Vernier caliper and micrometer .

5 What do you mean by foundry?

6 Explain selection of pattern material.

7 Explain L.C.M. of Vernier

caliper and micrometer.

8 Write the modes of power transmission also define (1) slip (2) speed ratio

(3) power transmission

9 Draw the Neat Sketch of Compound Belt Drive and

Compound Gear train.

10 List advantages and disadvantages of belt drive.

11 Enlist types of core and explain any two in detail.

12 Give the advantages of sheet metal process.

13 Enlist types of pattern material and explain any two in detail.

14 Write short note on fasteners.

15 In a power transmission of flat belt drive the tension in slack side (T2) is

3000N Whereas initial tension (To ) is 5000N. Find the tension in tight

side (T1 ).

R.C.Technical Institute –Sola, Ahmedabad

Mechanical Department

Mechanical Engineering for Printing-(3335801)

Assignment -02

Sr

No. Question

1 Draw the displacement diagram of simple harmonic motion with proper

nomenclature

2 Give advantages and disadvantages of casting process.

3 Enlist types of followers.

4 Give differences between Hot and cold working process

5 Draw the displacement diagram of uniform velocity with proper

nomenclature.

6 Draw neat sketch of horizontal milling machine and name the parts.

7 Draw neat sketch of lathe machine with nomenclature.

8 List the operations which can be performed on lathe machine and draw

any two operation with nomenclatures.

9 Explain construction and working of single stage reciprocating air

compressor with figure.

10 Why filters are required in machine?

11 Explain Applications of Pumps in Printing Industry.

12 Explain the applications of Air compressor.

13 Draw neat sketch of centrifugal pump.

14 What is the function of drilling machine? List any two use of drilling

machine.

15 List types of rolling mills.

R.C.Technical Institute –Sola, Ahmedabad

Mechanical Department

Mechanical Engineering for Printing-(3335801)

Assignment -03

Sr

No. Question

1 List the methods used for power transmission.

2

Describe function of inter cooler and after cooler used

in air cooler.

3

As a printing student, why you need to understand mechanical

fundamentals?

4 Draw neat sketch of rolling contact bearing. List any two places where is

used.

5 Draw neat sketch of rope drive and list its advantages and applications.

6 Explain simple gear train by neat sketch and give its application.

7 What is cam? Explain in detail. Which type of cams and followers are

used in various machineries?

8 List any six types of tools and spanners used in general maintenance.

9 What are the types of gears used in printing industries in various

machines? Draw neat sketch of spur gear.

10 Explain reverted gear train with neat sketch.

11 Explain operations which can be performed on drilling machine with neat

sketch.

12 What is priming? Explain with respect to pumps. Which pump requires

frequent priming after stoppage?

13 What is the function of idler pulley used in belt drive? Explain with neat

sketch.

14 Give detailed classification the air compressor.

15 Enlist types of pattern allowances

R C TECHNICAL INSTITUTE, SOLA Mechanical Department DIPLOMA SEMESTER-171

Subject : CAMD Semester-3

Assignment –I

Prepare following drawings in AutoCAD.

R C TECHNICAL INSTITUTE, SOLA Mechanical Department DIPLOMA SEMESTER-171

Subject : CAMD Semester-3

Assignment –II

Prepare following drawings in AutoCAD.

R C TECHNICAL INSTITUTE, SOLA Mechanical Department DIPLOMA SEMESTER-171

Subject : CAMD Semester-3

Assignment –III

Prepare following drawings in Creo sketch module.

R.C.TECHNICAL INSTITUTE SOLA AHMEDABAD

MECHANICAL DEPARTMENT

DIPLOMA ENGINEERING – SEMESTER – III

ASSIGNMENT -1

Subject Code: 3331905

Subject Name: Manufacturing Engineering – I

TOPIC: INTRODUCTION AND METAL WORKING PROCESS:

1 Classify manufacturing processes.

2 State the common defects in forged components stating the reasons for those

defects.

3 Differentiate Hot working and Cold working of metals.

4 Explain difference between piercing (punching) and blanking.

5 Define & explain recrystalisation temperature. Explain at least six factors

affecting

Recrystallization temperature of metals. 6 List various types of rolling mills and explain any two of them with neat sketches

7 Define the following terms.

(i) Ductility (ii) Rigidity (iii) Malleability (iv) Toughness (v) Brittleness (vi)

Castability

8 State different methods of extrusion process. Explain any one with neat sketch

9 Write a short note on spinning process with neat & clean sketch.

10 Classify various drawing operation & explain any one operation with the help of

diagram.

R.C.TECHNICAL INSTITUTE SOLA AHMEDABAD

MECHANICAL DEPARTMENT

DIPLOMA ENGINEERING – SEMESTER – III

ASSIGNMENT -2

TOPIC :METAL CASTING

1. Name various materials for Pattern. Discuss their merits & Demerits.

2. Explain type of patterns with field of application of each.

3. List any five defects in sand casting. Give their causes & remedies

4. Explain centrifugal casting processes.

5. Explain sequence of steps of sand moulding.

6. Why the color code is given on the pattern?

7.Explain following properties of moulding sand :

1. Porosity and permeability 2. Collapsibility 3. Adhesiveness 4. cohesivness 5. Refectoriness

R.C.TECHNICAL INSTITUTE SOLA AHMEDABAD

MECHANICAL DEPARTMENT

DIPLOMA ENGINEERING – SEMESTER – III

ASSIGNMENT -3

TOPIC: METAL JOINING PROCESSES

1. Differentiate soldering, brazing & welding.

2. Explain Oxy-acetylene gas welding.

3. Explain Electric ARC welding Process.

4. State names of resistance welding processes. Explain any one.

5. Explain TIG & MIG welding processes.

6. What do you mean by electric resistance welding process

7. Write short note on adhesive bonding material

8. Write down the welding defects with reasons

9. Explain laser beam welding process with neat sketch

10.Draw welding symbol used in manufacturing process

1. Explain electron beam welding process

R. C. Technical Institute, Sola

Mechanical Engineering Department

Semester – 3rd

Subject Name: Mechanical Engineering for Textile

----------------------------------------------------------------------------------------------------

ASSIGNMENT-1

1. Define sensible heat and latent heat.

2. Give application of steam in textile industries.

3. which are the uses of compressed air?

4. Short note on reciprocating air compressor.

5. Give importance of humidity in textile industries.

6.Write on Construction and working of centrifugal pump.

7. What is power transmission?Give examples on power transmission systems.

8. Give difference between preventive & corrective maintanance.

R. C. Technical Institute, Sola

Mechanical Engineering Department

Semester – 3rd

Subject Name: Mechanical Engineering for Textile

----------------------------------------------------------------------------------------------------

ASSIGNMENT-2

1. Define wet steam, dry& saturated steam & superheated steam.

2. What are the uses of filters & moisture oil separator.

3. Give definations of humidity, sp. humidity & relative humidity.

4. write on merrits & demerrits of pump.

5. List types of vibration.

6. Describe needs & types of material handling equipment.

R. C. Technical Institute, Sola

Mechanical Engineering Department

Semester – 3rd

Subject Name: Mechanical Engineering for Textile

----------------------------------------------------------------------------------------------------

ASSIGNMENT-3

1. What is dryness fraction of wet steam.

2. Describe on humidification & dehumidification.

3. Write on construction & working of ball, butterfly & globe valves.

4. Which are the causes of vibration?

5. Give remedies of vibration causes.

6. What do you know about safety awareness safety training?

7. Write short note on types of accidents.

APPLIED MECHANICS DEPARTMENT

R.C.TECHNICAL INSTITUTE, AHMEDABAD

SEMESTER-III YEAR 2017

STRENGTH OF MATERIALS(3331904)

Instructions:-

Take the following values for different materials as under:

YOUNG’s modulus:

Steel: 200 GPa, Brass/Copper: 100 GPa, Aluminum: 60 GPa, Wood: 10

GPa and concrete: 25 GPa.

Poisson’s ratio for all metals = 0.25

Coefficient of thermal change for all metals = 12x10-6/K

ASSIGNMENT – 1

SIMPLE STRESS AND STRAIN

1. Define the following terms

Stress

Shear stress

Modulus of elasticity (YOUNG’s

modulus)

Bulk modulus

Composite section

Hoop stress

Yield stress

Actual breaking stress

Factor of safety

% elongation

Proportional limit

Strain

Shear strain

Modulus of rigidity (SHEAR

modulus)

Poisson’s ratio

Elastic limit

Modular ratio

Temperature stress

Ultimate stress

Normal/Nominal breaking stress

Gauge length

% reduction in area

Safe stress

2. 8 mm steel bar is subjected to 20 kN axial tension. Determine the axial stress, strain,

change in 50 mm gauge length and change in diameter.

3. Calculate the total change in length for the following steel bars.

20 mm

400 mm 300 mm 300 mm

80kN 40 kN 60 kN 180 kN

4. Determine the diameter of punch to punch a 20 mm thick steel plate, if axial stress in

the punch is 220 MPa and shear stress in plate is 120 MPa. Also find the corresponding

force on the punch.

5. 18 mm and 1.2 m long rod is subjected to 50 kN axial tension. Under the action of this

force, the observed increase in length and decrease in diameter are 0.34 mm and

0.0016 mm respectively. Calculate YOUNG’s modulus, SHEAR modulus and Poisson’s

ratio.

6. A circular steel bar subjected to axial tension increases in length by 0.2% and decreases

in diameter by 0.05%. Find Poisson’s ratio and stress developed.

7. A 200 mm long, 50 mm wide and 10 mm thick prismatic steel rod is subjected to 180 kN

tension along its longitudinal axis. Calculate the change in each dimension and change

in volume.

8. A steel tube of external diameter 100 mm and 12.5 mm thickness is surrounded by a

brass tube of same length and external diameter 125 mm. The composite tube is

carrying the axial load of 100 kN. Calculate stress in each metal.

9. 350 mm RCC column is reinforced with 8 steel bars of 16 mm . If the composite

column carries 300 kN axial compression, calculate stress in each material.

10. A 20 mm steel rod is held between two plates 4.2 m apart at 70 K temperature. Find

out the force exerted by the rod after it is cooled to 20 K if (a) the plates don’t yield

and (b) the plates yield by 1 mm.

11. A 16 mm steel rod is fixed into the walls 4 m apart at 300 K temperature. If the

temperature falls down to 210 K and walls yield 2 mm, find the stress in the rod as well

as reaction on walls.

12. 100 m long steel rail pieces are laid with a gap of 24 mm at 300 K temperature. Find the

maximum temperature at which the rail pieces will remain without stress. Also

determine the stress if the temperature is 330 K.

32 mm 25 mm

800 mm 600 mm 600 mm

20 mm

100kN 70kN 50 kN 80 kN

APPLIED MECHANICS DEPARTMENT

R.C.TECHNICAL INSTITUTE, AHMEDABAD

SEMESTER-III YEAR 2017

STRENGTH OF MATERIALS (3331904)

ASSIGNMENT – 2

SHEAR FORCE AND BENDING MOMENT DIAGRAMS

1. Define the following terms

a. Shear force

b. Shear force diagram

c. Point of contra flexure

d. Bending moment

e. Bending moment diagram

2. Calculate the Reactions, Shear Force (SF), Bending Moment (BM) and plot the variation

of SF and BM. Also show the point of contra-flexure if any [a] 30 kN

[b]

[c]

[d]

[e] 60 kN

[f] 40 kN 50 kN

20 kN/m

[g]

50 kN

2 m 2m 3m

[h]

40 kN 70 kN

2m 2m 2m

25 kN

3 m 2 m 1 m

20 kN/m

A B

C

D

35 kN

1 m 0.5 m

m

0.5

20kN/m

25 kN

A

B C D

10 kN 25kN/m

40 kN

A

B

C

1m

mm

mm

1m

90 kN

2m 3 m 1 m

30 kN/m

A B

C D

40kN

2 m 2 m 1 m

30kN/m

A B

C

D

30 kN

2m 2m 2m 2m

30 kN/m

30 kN/m

APPLIED MECHANICS DEPARTMENT

R.C.TECHNICAL INSTITUTE, AHMEDABAD

SEMESTER-III YEAR 2017

STRENGTH OF MATERIALS(3331904)

ASSIGNMENT – 3

MOMENT OF INERTIA

1. Define the following terms

Moment of inertia

Axis of symmetry

Section modulus

Radius of gyration

2. Prove (a) Parallel axis theorem and (b) Perpendicular axis theorem

3. Calculate the section modulus with respect to horizontal axis for the following sections [a] [b]

[c] [d]

15 mm 30 mm

10 mm

20 mm

10 mm

hole

Flange:

60 mm x 10 mm

Web:

10 mm x 90 mm

Flanges:

60 mm x 10 mm

Web:

10 mm x 150 mm

Top Flange:

120 mm x 10 mm

Bottom Flange:

90mm x 10 mm

Web:

10 mm x 150 mm

APPLIED MECHANICS DEPARTMENT

R.C.TECHNICAL INSTITUTE, AHMEDABAD

SEMESTER-III YEAR 2017

STRENGTH OF MATERIALS (3331904)

ASSIGNMENT – 5

STRESSES IN BEAMS

1. Define the following terms

Bending stress Shear stress

2. Write the equation for bending stress with units of each term and mention the

assumptions made in the theory of bending.

3. 75 mm wide x 12 mm thick steel flat is bent in a circular form of 16 m radius by

applying couple at its ends. Determine the maximum stress developed and amount of

couple.

4. 120 mm wide x 250 mm deep timber beam is used as cantilever span of 2 m. If the

bending stress is 80 MPa, calculate the safe UDL on full span including self-weight.

5. I section as shown in 3 [c] is used as 4 m simply supported beam. If the permissible

bending stress is 150 MPa (excluding self-weight), calculate the safe central point load.

6. 120 mm wide x 300 mm deep timber beam is used as cantilever span of 2.4 m. If the

bending stress is 80 MPa (excluding self-weight), calculate the safe point load at free

end.

7. 200 mm wide x 450 mm deep timber beam is used simply supported beam of 8 m. If

the bending stress is 90 MPa, calculate the safe UDL on full span including self-weight.

8. Write the equation for shear stress with units of each term.

9. Draw the shear stress variation for the following sections.

Rectangular section

Triangular section

Angle section

Channel section

Symmetrical T section

Symmetrical plus section

Circular section

Symmetrical I section

Symmetrical I with unequal flange

APPLIED MECHANICS DEPARTMENT

R.C.TECHNICAL INSTITUTE, AHMEDABAD

SEMESTER-III YEAR 2017

STRENGTH OF MATERIALS(3331904)

ASSIGNMENT – 6

COLUMN AND STRUT

1. Define the following terms

Strut

Short column

Effective length

Column

Long column

Slenderness ratio

2. Write the EULER’s equation for buckling/crippling load with units of each term and

mention the assumptions made in the theory.

3. Draw neat sketches of column with different end conditions, effective lengths and

their respective Euler’s load capacity.

4. A solid circular column section is replaced by hollow circular section of equal area,

having internal to external diameter ratio 5

4 without changing end conditions, length

and material. Calculate the load carrying capacity ratio of hollow to solid section.

5. 4 m long hollow circular steel tube of external 200 mm and thickness 25 mm is used

as a strut keeping one end fixed and other end hinged. Calculate inertia, effective

length and Euler’s load.

6. 6 m long hollow rectangular steel section of external dimensions 60 mm x 80 mm and

thickness 6 mm is used as a strut keeping both ends fixed. Calculate appropriate

inertia, effective length and Euler’s load.

7. A steel T section as shown in 3 [a] is used as 5 m long strut having both ends hinged.

Calculate appropriate inertia and Euler’s load.

8. 2 m long hollow circular steel tube of external 150 mm and thickness 12 mm is used

as a strut keeping one end hinged and other end fixed. If crushing stress is limited to

300 MPa and Rankin’s constant: =7500

1, calculate effective length, radius of gyration,

slenderness ratio and Rankin’s load.

9. 8 m long hollow rectangular steel section of external dimensions 120 mm x 160 mm

and thickness 15 mm is used as a strut keeping one end free and other end fixed. If

crushing stress is limited to 250 MPa and Rankin’s constant: =7900

1, calculate

appropriate inertia, radius of gyration, effective length, slenderness ratio and Rankin’s

load.

APPLIED MECHANICS DEPARTMENT

R.C.TECHNICAL INSTITUTE, AHMEDABAD

SEMESTER-III YEAR 2017

STRENGTH OF MATERIALS(3331904)

ASSIGNMENT – 7

PRINCIPAL PLANES AND PRINCIPAL STRESSES

(1) At a certain point in a strained material two direct stress intensities of 90 N/mm2 Tensile

and 60 N/mm2 compressive are acting across two plane mutually Perpendicular to each

other along a shear stress. Find the magnitude of shear stress if the major principal stress is

not to exceed “`120” N/mm2 tensile. Also find minor principal stress with its nature.

(2) A point in a strained material is subjected to two mutually perpendicular tensile Stresses of 150 N/mm2 and 100 N/mm2along with shear stress of 40 N/mm2. Calculate Normal, Tangential and Resultant stresses on a plane inclined at “350”With axis of minor stress. (3) At a certain point in a strained material there are two stress intensities of “120” N/mm2 tensile and 90 N/mm2 compressive acting on plane mutually perpendicular to each other. The inclination angle is 30o with the plane of major stress. find normal, tangential and resultant stresses on this plane. (4) A point in a strained material is subjected to two mutually perpendicular stresses 180 MPa tensile and 120 MPa Compression accompanied by a shear stress of :”30” MPa .Find out Principal stresses and locate principal plane (5) At a certain point in a strained material two stresses of intensities of 180 N/mm2 tensile and 120 N/mm2 compressive are acting on planes mutually perpendicular to each other. Determine analytically Normal, Tangential and Resultant stresses on a plane inclined at “400” with the plane of major stress. (6) point in a strained material is subjected to two mutually perpendicular tensile stresses of 150 N/mm2 and “100” N/mm2along with shear stress of 40 N/mm2. Calculate Normal, Tangential and Resultant stresses on a plane inclined at 600 With axis of minor stress. Use Analytical method.

7) Point in a strained material is subjected to two mutually perpendicular tensile Stresses of

180 N/mm2

and “120” N/mm2

along with shear stress of 40 N/mm2

.Calculate Normal,

Tangential and Resultant s stresses on a plane inclined at 600 with the axis of 180 N/mm

2

APPLIED MECHANICS DEPARTMENT

R.C.TECHNICAL INSTITUTE, AHMEDABAD

SEMESTER-III YEAR 2017

STRENGTH OF MATERIALS(3331904)

ASSIGNMENT -8

DEFLECTION OF BEAM

(1) A simply supported beam of “L” m length is 230 mm x 400 mm in cross section is subjected to a u.d.l. of 50 kN/m all over span and a central point load of 100 kN . Calculate max. Deflection and slope at support. E=2 x105 N/ mm2

(2) A simply supported beam is 150 mm x 300 mm in cross section is subjected to a u.d.l.

of “w” kN/m all over span. If the max. Deflection does not exceed 5.0 mm. find the

length of beam. Find also slope value at support. E=0.15x105 N/ mm2

(3) A simply supported beam of 4.0m span is 150 mm x “d”mm mm in cross section is

subjected to a u.d.l. of 20 kN/m all over span. What central point load should beam

carry to produce a maximum deflection of 10 mm?

(4) A simply supported beam of “L” m is subjected a central point load of 40kN.if

the maximum slope caused at support is 10, find the max. Deflection at centre.

(5) A Cantilever beam of 2.0 spans carries a u.d.l. of “w” kN/m throughout its span.

Find slope and deflection at free end. E=2 x105 N/ mm2 ,I=2000 cm4

(6) A Cantilever beam of 2.0 span carries a u.d.l. of “w” kN/m throughout its span.

If the max. Deflection does not exceed 10 mm, find the point load that can be

placed at the free end. Beam size=120 mmx200 mm, E=1.2 x105 N/ mm2

(7) A cantilever beam of 2.5 m long and 120 mmx200 mm in cross section is

deflected at free end upto “δ” mm under u.d.l. of “w” kN/m all over span.

calculate max. Slope in degree also. E=2 x105 N/ mm2

GROUP 1 2 3 4 5 6 7 8 9 10

L 4.2 4.0 4.8 5.0 5.5 5.2 6.0 4.6 5.4 4.5 w 30 35 25 40 42 20 50 45 28 38

d 220 200 240 300 320 250 280 310 260 275 L 5.0 5.2 4.8 4.6 5.5 6.0 5.4 4.9 4.7 5.1

w 25 30 20 15 22 18 35 32 28 34 w 25 30 15 20 22 35 24 18 28 32

δ 10 11 11.5 9.8 8.0 9.5 9.0 9.7 12 13