#### Machine Design

1

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

A. 1//sin theta
B. 1//cos theta
C. 1//tan theta
D. sin theta cos theta

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)

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

4
The notch sensitivity q is expressed in terms of fatigue stress concentration factor Kf and theoretical stress concentration factor Kt, 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)

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)