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)`

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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

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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`

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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.

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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.`

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