Questions and answers for exam Preparation

MCQs

Total Questions : 189 | Page 1 of 19 pages

Question 1. The normal stress component acting at the centre, in the given diagram, will be _________ to the face (B D D1 B1).

increased to \((σ_y+\frac{∂σ_y}{∂y}\frac{dy}{2}) \)
decreased to \((σ_y-\frac{∂σ_y}{∂y}\frac{dy}{2}) \)
equal to σy
equal to σz

Discuss Question

Answer: Option A. -> increased to \((σ_y+\frac{∂σ_y}{∂y}\frac{dy}{2}) \)
Answer: (a).increased to \((σ_y+\frac{∂σ_y}{∂y}\frac{dy}{2}) \)

Question 2. The normal stress component acting at the centre, in the given diagram, will be _________ to the face (A C C1 A1).

increased to \((σ_y+\frac{∂σ_y}{∂y}\frac{dy}{2}) \)
decreased to \((σ_y-\frac{∂σ_y}{∂y}\frac{dy}{2}) \)
equal to σy
equal to σz

Discuss Question

Answer: Option B. -> decreased to \((σ_y-\frac{∂σ_y}{∂y}\frac{dy}{2}) \)
Answer: (b).decreased to \((σ_y-\frac{∂σ_y}{∂y}\frac{dy}{2}) \)

Question 3. The boundary condition equation for X̅, where X̅ is the component of the surface force in x-direction per unit area is ___________

Discuss Question

Answer: Option C. -> c
Answer: (c).c

Question 4. The boundary condition equation for Y̅, where Y̅ is the component of the surface force in y-direction per unit area is ___________

Discuss Question

Answer: Option A. -> a
Answer: (a).a

Question 5. The boundary condition equation for Z̅, where Z̅ is the component of the surface force in z-direction per unit area is ___________

Discuss Question

Answer: Option B. -> b
Answer: (b).b

Question 6. The three equations of static equilibrium of the problem of elasticity are not sufficient to solve the six unknown stress components.

True
False
May be True or False
Can't say

Discuss Question

Answer: Option A. -> True
Answer: (a).True

Question 7. The equilibrium equation obtained by summing all forces on z-direction is ________

\(\frac{∂σ_x}{∂x} + \frac{∂τ_{yx}}{∂y} + \frac{∂τ_{zx}}{∂z} +X=0\)
\(\frac{∂τ_{xy}}{∂x} + \frac{∂σ_y}{∂y} +\frac{∂τ_{zy}}{∂z}+Y=0\)
\(\frac{∂τ_{xz}}{∂x} +\frac{∂τ_{yz}}{∂y} +\frac{∂σ_z}{∂z} +Z=0\)
\(\frac{∂σ_x}{∂x}+\frac{∂τ_{yx}}{∂y} +\frac{∂τ_{zx}}{∂z} = 0\)

Discuss Question

Answer: Option C. -> \(\frac{∂τ_{xz}}{∂x} +\frac{∂τ_{yz}}{∂y} +\frac{∂σ_z}{∂z} +Z=0\)
Answer: (c).\(\frac{∂τ_{xz}}{∂x} +\frac{∂τ_{yz}}{∂y} +\frac{∂σ_z}{∂z} +Z=0\)

Question 8. The problem of elasticity is _________

strictly determinate
strictly indeterminate
in some cases indeterminate
cannot be classified as determinate or indeterminate

Discuss Question

Answer: Option B. -> strictly indeterminate
Answer: (b).strictly indeterminate

Question 9. The equilibrium equations in terms of total stresses formed by summing all forces on y-direction is ________

\(\frac{∂σ_x}{∂x} + \frac{∂τ_{yx}}{∂y} + \frac{∂τ_{zx}}{∂z} +X=0\)
\(\frac{∂τ_{xy}}{∂x}+\frac{∂σ_y}{∂y}+\frac{∂τ_{zy}}{∂z}=0\)
\(\frac{∂τ_{xz}}{∂x} +\frac{∂τ_{yz}}{∂y} +\frac{∂σ_z}{∂z} +Z=0\)
\(\frac{∂σ_x}{∂x}+\frac{∂τ_{yx}}{∂y} +\frac{∂τ_{zx}}{∂z} = 0\)

Discuss Question

Answer: Option B. -> \(\frac{∂τ_{xy}}{∂x}+\frac{∂σ_y}{∂y}+\frac{∂τ_{zy}}{∂z}=0\)
Answer: (b).\(\frac{∂τ_{xy}}{∂x}+\frac{∂σ_y}{∂y}+\frac{∂τ_{zy}}{∂z}=0\)

Question 10. The equilibrium equations in terms of total stresses formed by summing all forces on x-direction is ________

\(\frac{∂σ_x}{∂x} + \frac{∂τ_{yx}}{∂y} + \frac{∂τ_{zx}}{∂z} +X=0\)
\(\frac{∂τ_{xy}}{∂x} + \frac{∂σ_y}{∂y} +\frac{∂τ_{zy}}{∂z}+Y=0\)
\(\frac{∂τ_{xz}}{∂x} +\frac{∂τ_{yz}}{∂y} +\frac{∂σ_z}{∂z} +Z=0\)
\(\frac{∂σ_x}{∂x}+\frac{∂τ_{yx}}{∂y} +\frac{∂τ_{zx}}{∂z} = 0\)

Discuss Question

Answer: Option D. -> \(\frac{∂σ_x}{∂x}+\frac{∂τ_{yx}}{∂y} +\frac{∂τ_{zx}}{∂z} = 0\)
Answer: (d).\(\frac{∂σ_x}{∂x}+\frac{∂τ_{yx}}{∂y} +\frac{∂τ_{zx}}{∂z} = 0\)