#### Strength of Materials

1

For a given material, if E, C, K and m are Young's modulus, shearing modulus, bulk modulus and poisson ratio, the following relation does not hold good

A.  E = (9 K C)/(3K + C)
B. E = 2K ( 1 - 2/m)
C. E = 2C( 1 +1/m)
D. 1/m = (3K - 2C)/(6K + 2C)
E. E = 3C ( 1 - 1/m)

2

According to Unwin's formula, the diameter d of a rivet of plate of thickness t is :

A.  d = 6.05sqrt( t)
B. d = 1.5 t + 4
C. d =sqrt(5) t
D. d = sqrt(t) + 1.5

3

If a member carries a tensile force P on its area of cross-section A, the normal stress introduced on an inclined plane making an angle theta with its transverse plane, is

A. P/A sin^2 theta
B. P/A cos^2 theta
C. P/A tan^2 theta
D. (P)/(2A) sin^2 theta
E. (P)/(2A) cos2 theta

4
he length of a column which gives the same value of buckling load by Euler and Rankine-Gordon formula, is equal to
A. (pi^2 E K)/(f_a - pi^2 E_a)
B. sqrt((pi^2 E K)/(f_a - pi^2 E_a))
C. sqrt((pi^2 E K^2)/(pi ^2 E_a - f_a))
D. none of these.

5

In a tension test, the yield stress is 300 kg/cm2, in the octa hedral shear stress at the point is:

A. 100 sqrt(2) kg//cm^2
B.  150 sqrt(2) kg//cm^2
C.  200 sqrt(2) kg//cm
D.  250 sqrt(2) kg//cm^2.