# Practice Test: Question Set - 01

**1. A cube subjected to three mutually perpendicular stress of equal intensity p expenses a volumetric strain**

- (A) 3

*p/ E*× (2/

*m*- 1)

- (B) 3

*p/ E*× (2 -

*m*)

- (C) 3

*p/ E ×*(1 - 2/

*m*)

- (D)

*E/*3

*p*× (2/

*m*- 1)

**2. The strain energy stored in a solid circular shaft subjected to shear stress (τ), is:**

**(Where, G**

*= Modulus of rigidity for the shaft material)*- (A)

*τ²/*2

*G*× Volume of shaft

- (B)

*τ/*2

*G*× Volume of shaft

- (C)

*τ²/*4

*G*× Volume of shaft

- (D)

*τ/*4

*G*× Volume of shaft

**3. The strain energy stored in a solid circular shaft in torsion, subjected to shear stress (τ), is:**

**(Where, G**

*= Modulus of rigidity for the shaft material)*- (A)

*τ²*/ 2

*G*× Volume of shaft

- (B)

*τ*/ 2

*G*× Volume of shaft

- (C)

*τ²*/ 4

*G*× Volume of shaft

- (D)

*τ*/ 4

*G*× Volume of shaft

**4. The stress induced in a body, when suddenly loaded, is _________ the stress induced when the same load is applied gradually.**

- (A) Equal to

- (B) One-half

- (C) Twice

- (D) Four times

**5. A material obeys hook’s law up to**

- (A) Plastic
limit

- (B) Elastic
limit

- (C) Yield
point

- (D) Limit
of proportionality

**6. The torque transmitted by a solid shaft of diameter (**

*D*) is (where τ = Maximum allowable shear stress)- (A)

*π*/4 ×

*τ*×

*D³*

- (B)

*π*/16

*×*

*τ*×

*D³*

- (C)

*π*/32

*×*

*τ*×

*D³*

- (D)

*π*/64

*×*

*τ*×

*D³*

**7. The torque transmitted by a hollow shaft of outer diameter (d₁) and inner diameter (**

*d*) is (where, τ = Maximum allowable shear stress)_{2}- (A)

*π*/4 ×

*τ*×

*(d₁⁴ - d⁴₂)*/

*d₁*

- (B)

*π*/16 ×

*τ*×

*(d₁⁴ - d⁴₂)*/

*d₁*

- (C)

*π*/32 ×

*τ*×

*(d₁⁴ - d⁴₂)*/

*d₁*

- (D)

*π*/64

*×*

*τ*×

*(d₁⁴ - d⁴₂)*/

*d₁*

**8. If T**

_{h}is the torque resisting capacity of a hollow shaft and T_{s}is that of a solid shaft, of the same material, length and weight. Then,- (A)

*T*

_{h}> T_{s}- (B)

*T*

_{h}< T_{s}- (C)

*T*

_{h}= T_{s}- (D) None of these

**9. If K**

_{h}is the torque resisting capacity of a hollow shaft and K_{s}is that of a solid shaft, of the same material, length and weight. Then,- (A)

*K*

_{h}> K_{s}- (B)

*K*

_{h}< K_{s}- (C)

*K*

_{h}= K_{s}- (D) None
of these

**10. After reaching the yielding stage while testing a mild steel specimen, strain**

- (A) Becomes
constant

- (B) Starts
decreasing

- (C) Increases
without any increase in load

- (D) None
of the above

**11. Principal planes are planes having**

- (A) Maximum
shear stress

- (B) No
shear stress

- (C) Minimum
shear stress

- (D) None
of the above

**12. If the slenderness ratio for a column is 100, then it is said to be a _________ column.**

- (A) Long

- (B) Medium

- (C) Short

- (D) None
of these

**13. A body is subjected to a tensile stress of 1200 MPa on one plane and another tensile stress of 600 MPa on a plane at right angles to the former. It is also subjected to a shear stress of 400 MPa on the same planes. The maximum normal stress will be**

- (A) 400 MPa

- (B) 500 MPa

- (C) 900 MPa

- (D) 1400 MPa

**14. Young’s modulus of a wire is defined as the stress which will increase the length of wire compared to its original length by**

- (A) Half

- (B) Same
amount

- (C) Double

- (D) One-fourth

**15. True stress strain-curve for materials is plotted between**

- (A) Load/original
cross-sectional area and change in length/original length

- (B) Load/ instantaneous
cross-sectional area and log

_{e}(original area/ instantaneous area)

- (C) Load/ instantaneous
cross-sectional area and change in length/ original length

- (D) Load/ instantaneous area and
instantaneous area/original area

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