Strenght of Materials

26

The pull required to tear off the plate per pitch length is (where p = Pitch of rivets, t = Thickness of plates, and `sigma_t`, `tau` and `sigma_c`= Permissible tensile, shearing and crushing stresses respectively)

A. `(p - 2d)t xx sigma_c`
B. `(p - d)t xx tau`
C. `(p - d)t xx sigma_t`
D. `(2p - d)txx sigma_t`

27

The maximum deflection of a fixed beam of length l carrying a total load W uniformly distributed over the whole length is

A. `(wl^3)/(48EI)`
B. `(wl^3)/(96EI)`
C. `(wl^3)/(192EI)`
D. `(wl^3)/(384EI)`

28

When a body is subjected to direct tensile stresses (`sigma_x`  and  `sigma_y`)  in two mutually perpendicular directions, accompanied by a simple shear stress`tau_(xy)` , then in Mohr's circle method, the circle radius is taken as

A. `(sigma x - sigma y)/(2) + tau `
B. `(sigma x + sigma y)/(2) + tau `
C. `1/2 sqrt((sigma_x - sigma _y)^2 + 4 tau_(xy)^2)`
D. `1/2 sqrt((sigma_x + sigma _y)^2 + 4 tau_(xy)^2)`

29

A thick cylindrical shell having ro and ri as outer and inner radii, is subjected to an internal pressure (p). The minimum tangential stress at the outer surface of the shell is

A. `(2pr_o^2 + r_i^2)/(r_o^2 - r_i^2)`
B. `(r_o^2 - r_i^2)/(2pr_o^2 + r_i^2)`
C. `(2pr_i^2)/(r_o^2 - r_i^2)`
D. `(r_o^2 - r_i^2)/(2pr_i^2)`

30

The strain energy stored in a body, when the load is gradually applied, is (where `sigma`= Stress in the material of the body, V = Volume of the body, and E = Modulus of elasticity of the material)

A. `(sigma E)/(V)`
B. `(sigma V)/(E)`
C. `(sigma^2 E)/(2V)`
D. `(sigma^2V)/(2E)`