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GATE ME: Strength of Materials Champion Quiz 3
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Question 1
The diameter of a solid shaft is D. the inside and outside diameters of a hollow shaft of same material and length are 
and
respectively. What is the ration of the weight of the hollow shaft to the solid shaft?
and respectively. What is the ration of the weight of the hollow shaft to the solid shaft? Question 2
A solid shaft of diameter, d and length, L is fixed at both the ends. A torque, T0 is applied at a distance, L/4 from the left end as shown in the figure given below.
The maximum shear stress in the shaft is
The maximum shear stress in the shaft is
Question 3
Maximum deflection of a cantilever beam of length L carrying uniformly distributed load ‘w’ per unit length will be
[Where E=modulus of elasticity of beam material and I=moment of inertia of beam cross-section]
[Where E=modulus of elasticity of beam material and I=moment of inertia of beam cross-section]
Question 4
Match List-I (Formula/Theorem/Method) with List-II (Deals with topic) and select the correct answer using the code given below the lists:
List-I
A). Chaperon’s theorem
B). Macaulay’s method
C). Perry’s formula
List-II
1). Deflection of beam
2). Eccentrically loaded column
3). Riveted joints
4). Continuous beam
List-I
A). Chaperon’s theorem
B). Macaulay’s method
C). Perry’s formula
List-II
1). Deflection of beam
2). Eccentrically loaded column
3). Riveted joints
4). Continuous beam
Question 5
Two beams, one having square cross section and another circular cross-section, are subjected to the same amount of bending moment. If the cross sectional area as well as the material of both the beams are the same then
Question 6
What is the total angle of twist of the stepped shaft at free end subject to torque T shown in figure given below? 
Question 7
Consider a stepped shaft subjected to a twisting moment applied at B as shown in the figure. Assume shear modulus. G = 77 GPa. The angle of twist at C (in degrees) is ____________
Question 8
In a plane stress condition, the components of stress at a point are σx= 20 MPa, σy = 80 MPa and τxy = 40 MPa the maximum shear stress (in MPa) at the point is
Question 9
A rod of length L and diameter D is subjected to a tensile load P. Which of the following is sufficient to calculate the resulting change in diameter?
Question 10
If Poisson’s ratio for a material is 0.5, then the elastic modulus for the material is _____.
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