When a shaft is subjected to a twisting moment, every cross-section of the shaft will be under

When a shaft is subjected to combined twisting moment (T) and bending moment (M), then the equivalent twisting moment is equal to

A

$$\frac{1}{2}\sqrt {{{\text{M}}^2} + {{\text{T}}^2}} $$

B

$$\sqrt {{{\text{M}}^2} + {{\text{T}}^2}} $$

C

$$\frac{1}{2}\left( {{\text{M}} + \sqrt {{{\text{M}}^2} + {{\text{T}}^2}} } \right)$$

D

$${\text{M}} + \sqrt {{{\text{M}}^2} + {{\text{T}}^2}} $$

When a shaft is subjected to a twisting moment, every cross section of the shaft will be under _____ stress.

A

tensile

B

compressive

C

shear

D

bending

A shaft is subjected to fluctuating loads for which the normal torque (T) and bending moment (M) are 1000 N-m and 500 N-m respectively. If the combined shock and fatigue factor for bending is 1.5 and combined shock and fatigue factor for torsion is 2, then the equivalent twisting moment for the shaft is

A

2000 N-m

B

2050 N-m

C

2100 N-m

D

2136 N-m

Consider the following statements: The basic reason why shafts are made of steel and its alloys is: 1. The shaft is subjected to normal stress. 2. The shaft stress alternates with respect to time. 3. The shaft is subjected to pure compressive stress. 4. The shaft is subjected to the stress of constant intensity. Which of these statements are correct?

A

1 and 2

B

2 and 3

C

3 and 4

D

4 and 1

A shaft of diameter D is subjected to a twisting moment (T) and a bending moment (M). If the maximum bending stress is equal to maximum shear stress developed, then M is equal to

A

$$\frac{{\text{T}}}{2}$$

B

T

C

2T

D

4T

If a shaft made from ductile material is subjected to combined bending and twisting moment, calculations based on which one of the following failure theories will give the most conservative value?

A

Maximum principal stress theory

B

Maximum shear stress theory

C

Maximum strain energy theory

D

Maximum distortion energy theory

If a solid shaft (diameter 20 cm, length 400 cm, N = 0.8 × 10⁵ N/mm²) when subjected to a twisting moment, produces maximum shear stress of 50 N/mm², the angle of twist in radians, is

A

0.001

B

0.002

C

0.0025

D

0.003

In which of the following cases, there exists the situation of Pure Bending in some part of the beam or along the entire beam? i) A simply supported beam subjected to two equally spaced downward concentrated loads ii) A simply supported beam subjected to two equally spaced opposite moments iii) A cantilever beam subjected to clockwise moment at free end iv) An overhanging beam with both side overhangs subjected to different concentrated loads at both the free ends

A

(i) and (iv)

B

(i), (ii) and (iv)

C

(i), (ii) and (iii)

D

(i) and (iii)

Consider two shafts connected with two gears as per the following options: 1. One on each shaft 2. Through an intermediate gear mounted on an intermediate shaft, and every shaft having one gear only 3. Through an intermediate gear mounted on an intermediate shaft, with the intermediate shaft having two gears, whereas the other shafts have one gear each Which of the above represent(s) a simple gear train?

A

1 only

B

1 and 2 only

C

2 and 3 only

D

1, 2 and 3

A torsional system with discs of moment of inertia $${I_1}$$ and $${I_2}$$ as shown in the below figure, is gear driven such that the ratio of speed of shaft B to shaft A is 'G'. Neglecting the inertia of gears, the equivalent inertia of disc on shaft B at the speed of shaft A is equal to
Theory of Machine mcq question image

A

$${\text{G}} \times {I_2}$$

B

$${{\text{G}}^2} \times {I_2}$$

C

$$\frac{{{I_2}}}{{\text{G}}}$$

D

$$\frac{{{I_2}}}{{{{\text{G}}^2}}}$$

When a shaft is subjected to a twisting moment, every cross-section of the shaft will be under

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