Explore topic-wise MCQs in Strength of Materials.

This section includes 7 Mcqs, each offering curated multiple-choice questions to sharpen your Strength of Materials knowledge and support exam preparation. Choose a topic below to get started.

1.

The length, coefficient of thermal expansion and Youngs modulus of bar A are twice of bar B. If the temperature of both bars is increased by the same amount while preventing any expansion, then the ratio of stress developed in bar A to that in bar B will be ___________

A. 2
B. 4
C. 8
D. 16
Answer» C. 8
2.

which one of the following are true for the thermal expansion coefficient?

A. <sub>aluminium</sub> &gt; <sub>brass</sub>&gt; <sub>copper</sub> &gt; <sub>steel</sub>
B. <sub>brass</sub> &gt; <sub>aluminium</sub> &gt; <sub>copper</sub> &gt; <sub>steel</sub>
C. <sub>copper</sub> &gt; <sub>steel</sub> &gt; <sub>aluminium</sub> &gt; <sub>brass</sub>
D. <sub>steel</sub> &gt; <sub>aluminium</sub> &gt; <sub>brass</sub> &gt; <sub>copper</sub>
Answer» B. <sub>brass</sub> &gt; <sub>aluminium</sub> &gt; <sub>copper</sub> &gt; <sub>steel</sub>
3.

A uniform, slender cylindrical rod is made of a homogeneous and isotropic material. The rod rests on a frictionless surface. The rod is heated uniformly. If the radial and longitudinal thermal stress are represented by x and z, then ___________

A. <sub>x</sub> = 0, <sub>y</sub> = 0
B. <sub>x</sub> not equal to 0, <sub>y</sub> = 0
C. <sub>x</sub> = 0, <sub>y</sub> not equal to 0
D. <sub>x</sub> not equal to 0, <sub>y</sub> not equal to 0
Answer» B. <sub>x</sub> not equal to 0, <sub>y</sub> = 0
4.

A steel rod of length L and diameter D, fixed at both ends, is uniformly heated to a temperature rise of T. The Youngs modulus is E and the coefficient of linear expansion is unity. The thermal stress in the rod is ____________

A. Zero
B. T
C. E T
D. E TL
Answer» D. E TL
5.

A cube with a side length of 1m is heated uniformly a degree celcius above the room temperature and all the sides are free to expand. What will be the increase in the volume of the cube? Consider the coefficient of thermal expansion as unity.

A. Zero
B. 1 m<sup>3</sup>
C. 2 m<sup>3</sup>
D. 3 m<sup>3</sup>
Answer» E.
6.

A steel bar 600mm long and having 30mm diameter, is turned down to 25mm diameter for one fourth of its length. It is heated at 30 C above room temperature, clamped at both ends and then allowed to cool to room temperature. If the distance between the clamps is unchanged, the maximum stress in the bar ( = 12.5 x 10-6 per C and E = 200 GN/m2) is

A. 25 MN/m<sup>2</sup>
B. 40 MN/m<sup>2</sup>
C. 50 MN/m<sup>2</sup>
D. 75 MN/m<sup>2</sup>
Answer» E.
7.

The length, Young s modulus and coefficient of thermal expansion of bar P are twice that of bar Q. what will be the ration of stress developed in bar P to that in bar Q if the temperature of both bars is increased by the same amount?

A. 2
B. 8
C. 4
D. 16
Answer» D. 16