1

Scheme – G

Sample Question Paper Course Name : Mechanical Engineering Group

Course Code : ME/PG/PT/AE/MH/MI/FE/FG

Semester : Third

Subject Title : Strength of Materials

Marks : 100 Time: 3 Hours

Instructions:

1. All questions are compulsory

2. Illustrate your answers with neat sketches wherever necessary

3. Figures to the right indicate full marks

4. Assume suitable data if necessary

5. Preferably, write the answers in sequential order

Q1. (A) Attempt any SIX of the following 12 Marks

a) Define plasticity and stiffness.

b) Draw Core section for rectangular column.

c) Write the Equation for M.I. of Hollow Shaft.

d) Draw stress distribution on Rectangular section subjected to bending.

e) State expression for Power transmitters by a shaft giving meaning of each term. .

f) Define Poisons Ratio & modular of elasticity.

g) What is principle stress and principle plain?

h) What is meant by direct stress?

Q1. (B) Attempt any TWO of the following 08 Marks

a) A load of 5KN is to be raised with the help of a steel wire. Find the minimum diameter of

the steel wire, if the stress is not to exceed 100MPa.

b) A cantilever beam 2 meter long carries a udl of 1.5 KN/m over a length of 1.6 m from the

free end. Draw shear force and bending moment diagram for the beam.

c) A steel wire of 5mm diameter is bend into a circular shape of 5 m radius. Determine the

minimum bending stress induced in the wire. Take E=200GPa.

17304

Q2. Attem

a) (i)

(ii)

b) W

c) Dr

d) An

De

Fi

pe

str

f) A

is

Q3. Attem

a) A

di

b) A

m

be

c) A

m

fo

d) A

m

di

e) A

a d

f) Fi

mpt any FO

) Draw the s

State the ef

Write the assu

raw the stre

n automobi

etermine th

ig no.1.

erpendicular

resses and i

gas cylinde

not to exce

mpt any FO

simply sup

agram. and

beam AB 1

eters from

etween the p

cantilever

eter, 1.0 me

or the cantile

simply sup

eter overhan

agram.

simply sup

distance of

ind M.I. of a

OUR of the

sketch of ste

ffective leng

umptions m

ess strain cu

ile compon

he total elon

r planes ar

ts obliquity

er of interna

eed 30 MPa.

OUR of the

pported bea

B.M. diagr

10 m long h

A and a po

point loads.

beam 1.5 m

eter, and 1.

ever beam.

pported righ

ng. A Load

pported beam

2 meter fro

a square 100

following

epped sectio

gth for both

made in the E

urve for duc

nent shown

ngation of t

re 80 N/mm

y on a plane

al diameter

. Find the m

following

am of span

ram.

has supports

oint load of

Draw S.F.

meter long i

5 meter fro

ht side ove

ded by udl 1

m of 5 mete

m the left e

0 mm size a

on showing

h end hinged

Euler’s colu

tile materia

in fig no.1

the compon

m2 and 40

at 20 0 with

40mm is 5m

maximum pr

‘L’ is subj

s at its ends

f 5KN at 7

Diagram an

is carrying

om the fixed

erhanging b

0 KN /m ov

er span subj

end. Draw S

about their d

g axial load.

d column.

umn theory.

al and explai

1.is subjecte

nent, if its m

0 N/mm2 .

h the major

mm thick. I

ressure whic

bjected to u

s A and B .I

meters from

nd B.M. dia

point loads

d end. Draw

beam suppo

ver entire sp

jected to a c

S.F. diagram

diagonal.

.

in the term

ed to a ten

modulus of

Find the n

r principle p

If the tensile

ch can be al

udl of ‘w’/u

It carries a p

m A and a

agram for th

s 1000N eac

w S.F. diagr

orted at 4 m

pan. Draw S

clockwise m

m and B.M.

16 Ma

ultimate str

nsile load o

f elasticity

princip

stresse

point

normal and

plane.

e stress in t

llowed in th

16 Ma

unit length.

point load o

udl of 1KN

he beam.

ch at a dista

ram and B.M

meter and r

S.F. diagram

moment of 1

diagram.

2

arks

ress.

of 160 KN.

is 200GPa.

e) The

ple tensile

es at a

across two

d tangential

he material

he cylinder.

arks

Draw S.F.

of 5KN at 3

N per meter

ance of 0.5

M. diagram

right side 1

m and B.M.

15 KN/m in

a

r

m

n

Q4. Attem

a) Fi

50

b) An

10

ax

c) A

wh

d) An

th

e) W

f) Dr

Q5. Attem

a) A

If

in

b) Ca

c) A

ec

int

d) A

re

m

e) A

x-

m

f) A

dimension

Fig no.2.

mpt any FO

ind M.I. abo

0 mm, overa

n I-section

00 mm x 20

xis.

An angle sec

here 100 mm

n isosceles

e M.I. of th

What is mean

raw shear st

mpt any FO

rectangular

the beam

duced in the

alculate the

rectangula

ccentricity o

tensities of

hallow circ

spectively c

aximum an

c-clamp as

-x is rectang

ade of steel

M.S. link

ns b and t if b

OUR of the

out x-x axis

all depth 20

have the fo

0 mm, web

ction having

m side is ve

triangular s

he section ab

nt by mome

tress distrib

OUR of the

r beam 60 m

is subjecte

e beam sect

limit of ecc

ar strut is 1

of 10 mm in

stress in the

cular colum

carries a ver

d minimum

s shown in f

gular, havin

l casing with

as shown

b=3t. Assum

following

s of T-sectio

00 mm.

ollowing di

100 mm x

g dimension

ertical.

section ABC

bout c.g. of

nt of resista

bution diagr

following

mm wide an

ed to centr

tion.

centricity fo

150 mm an

n a plane bi

e section.

mn having e

rtical load o

m intensities

fig.no 2 car

ng width equ

h allowable

in fig.no.3

me the perm

on having f

imensions T

20 mm, ove

ns 100 mm x

C has a base

the section

ance and neu

am for circu

nd 150 mm

al point lo

or a circular

nd 120 mm

secting the

xternal and

of 100 KN a

of stress in

rries a load

ual to twice

e stress of 10

3.by full lin

missible tens

flange 150 m

Top flange

erall depth

x 80 mm x

e width 80 m

and the bas

utral axis?

ular section

deep is sim

ad 12 KN,

r section hav

m thick. It

thickness. F

d internal di

at the outer

n the section

P=25 KN.

e the thickne

00N/ mm2.F

nes, transm

sile stress a

mm x 50 m

60 mm x 2

140 mm .F

20 mm. Fin

mm and heig

se BC.

n and define

mply support

, Find max

ving diamet

carries a lo

Find the ma

iameters of

edge of the

n.

The cross s

ess. Assumi

Find its dim

mits a pull

s 70 MPa.

16 Ma

mm and web

20 mm. bot

ind the M.I

nd M.I. abou

ght 60 mm.

average sh

16 Ma

ted over a sp

ximum ben

ter 50 mm.

oad of 180

aximum and

300 mm an

column. Ca

section of th

ing that the

mensions.

of 80 KN

3

arks

b 150 mm x

ttom flange

I. about y-y

ut y-y axis,

Determine

hear stress.

arks

pan of 6 m.

ding stress

KN at an

d minimum

nd 250 mm

alculate the

he clamp at

e c-clamp is

N. Find the

x

y

n

m

m

t

e

4

p

Fig no.3.

Q6. Attempt any FOUR of the following 16 Marks

a) State the equation of torsion and write the notations used in it.

b) A solid circular shaft of 120 mm diameter is transmitting power of 120 KW at 150 rpm.

Find the intensity of the shear stress induced in the shaft. Take Tmax =1.4 Tavg.

c) Find power transmitted by a shaft having 60 mm diameter rotating at120 rpm.If maximum

permissible shear stress =80 MPa.

d) A steel shaft of solid circular section has to transmit 375 KW at 210 rpm. The maximum

shear stress is not to exceed 50 MPa and the angle of twist must not be more than 10 in the

length of 3m. Take G=80GPa.Determine diameter of the shaft.

e) A shaft of hallow circular cross section has outer diameter 120 mm, inner 90 mm It is

subjected to a torsional moment of 18 KN/m. For this shaft compute shear stress at the

outer surface.

f) (i) Define bending stress.

(ii) Define torque and state its S.I. unit.

t

t

p

b