Machine Design

1

For a bevel gear having the pitch angle `theta` , the ratio of formative number of teeth (T_E) to actual number of teeth (T) is

A. `1//sin theta`

B. `1//cos theta`

C. `1//tan theta`

D. `sin theta cos theta`

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

A. `1/2 sqrt(M^2 + T^2)`

B. ` sqrt(M^2 + T^2)`

C. `1/2 (M + sqrt(M^2 + T^2)`

D. `M + sqrt(M^2 + T^2)`

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3: If P₁ is the initial tension due to tightening up the bolt and P₂ is the external load on the bolt, then the resultant load (P) on a bolt may be obtained by using the relation (where a = Ratio of elasticity of connected parts to the elasticity of bolt)

A. `P = P_1 + P_2`

B. `P = P_1 - P_2`

C. `P = P_1 + ((1 + a)/(a) ) P_2`

D. `P = P_1 + ((a)/(1 + a)) P_2`

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4: The notch sensitivity q is expressed in terms of fatigue stress concentration factor K_f and theoretical stress concentration factor K_t, as

A. `(k_f + 1)/(k_t + 1)`

B. `(k_f - 1)/(k_t - 1)`

C. `(k_t + 1)/(k_f+ 1)`

D. `(k_t -1)/(k_f - 1)`

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5: According to maximum shear stress theory, the maximum shear stress in the shaft is

A. `1/2 sqrt(sigma ^2 +4 tau^2)`

B. `sqrt(sigma ^2 +4 tau^2)`

C. `1/2 [ sigma + sqrt(sigma ^2 +4 tau^2)]`

D. `sigma + sqrt(sigma ^2 +4 tau^2)`

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