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

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

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

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

A shaft is subjected to bending moment M and a torque T simultaneously. The ratio of the maximum bending stress to maximum shear stress developed in the shaft, is

A

$$\frac{{\text{M}}}{{\text{T}}}$$

B

$$\frac{{\text{T}}}{{\text{M}}}$$

C

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

D

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

An axial residual compressive stress due to a manufacturing process is present on the outer surface of a rotating shaft subjected to bending. Under a given bending load, the fatigue of the shaft in the presence of the residual compressive stress is ____________

A

Decreased

B

Increases or decreased, depending on the external bending load

C

Neither decreased nor increased

D

Increases

A circular shaft can transmit a torque of 5 kN-m. If the torque is reduced to 4 kN-m, then the maximum value of bending moment that can be applied to the shaft is

A

1 kN-m

B

2 kN-m

C

3 kN-m

D

4 kN-m

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

A

Tensile stress

B

Compressive stress

C

Shear stress

D

Bending stress

Two shafts 'A' and 'B' are made of same material. The shaft 'A' is solid and has diameter D. The shaft 'B' is hollow with outer diameter D and inner diameter $$\frac{{\text{D}}}{2}$$. The strength of hollow shaft in torsion is _________ as that of solid shaft.

A

$$\frac{1}{{16}}$$

B

$$\frac{1}{8}$$

C

$$\frac{1}{4}$$

D

$$\frac{{15}}{{16}}$$

In the bending of elastic plates, although the plate problems are similar to the plane stress problems, plates are also subjected to transverse loads that cause bending about axes normal to the plane of the plate.

A

True

B

False

A double universal joint is used to connect two shafts in the same plane. The intermediate shaft is inclined at an angle of 20° to the driving shaft as well as the driven shaft. Find the maximum speed of the intermediate shaft if the driving shaft has a constant speed of 500 r.p.m.

A

532.1 r.p.m

B

469.85 r.p.m

C

566.25 r.p.m

D

441.5 r.p.m.