RCT - 2
Strength of Materials
1. Two solid cylindrical rods AB and 2. Select the appropriate pair of elements
with the same state of stress as given
BC are welded together at B and
loaded as shown. Knowing that the
by the following Mohr’s circle
average normal stress must not

exceed 140MPa in each rod. The

smallest allowable values of d1 &
(i)
d 2 are


(ii)
0

(a) d1  19.1mm
d 2  16.52mm
(b) d1  25.2mm
(a)
d 2  16.52mm
(c) d1  25.2mm
d 2  19.1mm
(d) d1  19.1mm
(b)
d 2  25.2mm
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RCT - 2
Strength of Materials
(c) 2.5  105 MPa
(c)
(d) 3  105 MPa
5. For the stepped bar as shown in the
figure determine the maximum
value of P if the permissible
stresses for AB, BC & CD are
100MPa, 150MPa and 50MPa
respectively
(d)
200 mm2
3. At a point in body, 1  0.0004 and
100 mm2
2  0.00012 . If E  2  105 MPa
50 mm2
4P
and   0.3, the smallest normal
stress and the largest shearing stress
5P
P
B
D
C
A
L
respectively are:
L
L
(a) 40 MPa and 40 MPa
(a) 5kN
(c) 10kN
(b) 0 MPa and 40 MPa
(c) 80 MPa and 0 MPa
(d) 0 MPa and 80 MPa
(b) 2.5kN
(d) 7.5kN
6. The aluminium rod ABC (E=70 GPa),
which consists of two cylindrical
4. For a material following hook’s
law, the values of elastic and shear
moduli are
5
3  10 MPa
and
1.2  10 MPa respectively.The value
of bulk modulus is
portions, AB and BC is to be
replaced with a cylindrical steel
rod DE (E = 200 GPa) of same overall
5
length. If vertical deformation of
steel rod is not to exceed vertical
(a) 1.5  105 MPa
deformation of aluminium rod
(b) 2  105 MPa
under the same load. The minimum
ENGINEERS CAREER POINT
PANCHKULA: SCO-211, TOP FLOOR, SECTOR 14, PKL 9815411737, 0172-4061483
PATIALA : SCB- 7 TOP FLOOR,CHOTTI BARADARI, 9855273076
2
RCT - 2
Strength of Materials
required diameter of steel rod, if the
allowable stress in steel rod is not
to exceed 165.5 MPa is _________
8. A cantilever beam carries the
varying load shown, where W is the
maximum intensity of the distributed
load. Qualitatively the best bending
7. A 600mm long vertical copper bar
moment diagram for the beam is
is placed in position as shown between
two rigid horizontal fixed surfaces,
W
with a gap of 0.20mm above the bar.
W
The compressive stress in the bar
B
when the temperature is raised by
400C is __________MPa
A
C
L
L
5
[Take  copper  1.6 10 per C and
Ecopper  1.05 105 MPa ]
ENGINEERS CAREER POINT
PANCHKULA: SCO-211, TOP FLOOR, SECTOR 14, PKL 9815411737, 0172-4061483
PATIALA : SCB- 7 TOP FLOOR,CHOTTI BARADARI, 9855273076
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RCT - 2
Strength of Materials
(a)
9. For the given beam under the action
of Moment at pts B,C & D as shown
which of the followings parts will
have the radius of curvature R as
infinity after considering the
bending effect of all the moments
(b)
3M
M
A
B
C
E
D
4M
(c)
(a) AB & BC
(b) BC and DE
(c) AB and DE (d) BC and CD
(d)
10. In a strained material one of the
principal stresses is twice the other.
The maximum shear stress in the
same case is max . Then what is the
value of the maximum principle
stress?
(a) max
(b) 2max
(c) 4max
(d) 8max
ENGINEERS CAREER POINT
PANCHKULA: SCO-211, TOP FLOOR, SECTOR 14, PKL 9815411737, 0172-4061483
PATIALA : SCB- 7 TOP FLOOR,CHOTTI BARADARI, 9855273076
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