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050/23

For a cantilever beam of length L with uniformly distributed load w/unit length and
a point load of W at the free end, the bending moment at a distance x from the free
end is given by

A) wx?/8 + Wx? 8) wx2/2 — Wx C) wx2/4 + Wx 0) wx?/2 + Wx

A metallic rod of uniform diameter and length L with coefficient of thermal expansion a
and Young’s modulus E is constrained between two rigid walls. If the temperature
tise is AT, the thermal stress developed in the rod is

A) EoAT B) Eo/AT C) aAT 0) ६०572

A uniform circular solid shaft with diameter 2 cm is subjected to a torque of 40 Nm.
The shear stress in N/mm? at the periphery of the shaft is equal to
4) 80௩ 8) 400% 0) 80/௩ ட) 160/௩

Which of the following relationships hold good among modulus of elasticity E, modulus
of rigidity G and bulk modulus K ?

A) K=9EG/(3E + G) 8) E = 9KG/(3K + G)

C) E=6KG/(3K + G) 0) G = 9KE/(2K + G)

A rectangular block of height H, length L and depth D is rigidly fixed at the bottom
(length L x depth D face). When a tangential force P acts at the top face of the block
parallel to the length L, the linear deformation at the top is AL. What will be the shear
strain of the block ?

A) ‏لباك‎ B) AL/L @) AL/D D) None of these

A square bar of 40 mm size is subjected to a sudden tensile load of 80 kN. The
instantaneous stress in MPa induced in the bar will be
A) 50 B) 100 C) 200 D) 150

What will be the section modulus of a rectangular beam with a breadth of 6 cm and
depth of 2cm ?
A) 4cm3 8) 120073 0) 8003 0) 1003

For the shear force S and bending moment M of a beam, which of the following is

correct ?

_ 8
dx

2 2
_oM ‏ہر و‎ 8 0) 8- 41४
dx

A) M =
) dx?

8( 5
What will be the deflection in m at the centre of a simply supported beam of span 2m,
when a point load of 36 KN is applied at the centre (where E in kPa and / in m*) ?
A) 6E/ B) 12E/ C) 6/5/ D) 12/E/