Stress and Strain Analysis: Online Quizzes for Mechanical Engineering Students

Question 1

Which of the following correctly describes the bending stress distribution in a cantilever beam subjected to a point load at its free end?

Accepted Answer

Maximum at the root, linearly decreasing to zero at the free end

Answer

Maximum at the free end, linearly decreasing to zero at the root

Answer

Maximum at the midpoint, parabolically decreasing to zero at both ends

Answer

Constant throughout the beam

Question 2

A Mohr's circle is primarily used to graphically represent:

Accepted Answer

Stress components on a plane

Answer

Strain components on a plane

Answer

Forces and moments on a beam

Answer

Displacements in a truss

Question 3

Which of the following failure criteria is based on the maximum shear stress theory?

Accepted Answer

Tresca criterion

Answer

Von Mises criterion

Answer

Rankine criterion

Answer

Coulomb criterion

Question 4

Which stress state involves equal stresses acting in all directions?

Accepted Answer

Hydrostatic stress

Answer

Uniaxial stress

Answer

Shear stress

Answer

Biaxial stress

Question 5

Which of the following formulas represents the bending stress in a beam?

Accepted Answer

σ = M*y / I

Answer

τ = T*r / J

Answer

γ = ΔL / L

Answer

ε = σ / E

Question 6

The shear stress in a circular shaft subjected to torsion is given by:

Accepted Answer

τ = T*r / (2J)

Answer

τ = M*d / (2I)

Answer

σ = P / A

Answer

γ = F / A

Question 7

Which of the following represents the deflection at the center of a simply supported beam subjected to a point load at the center?

Accepted Answer

δ = (PL³)/48EI

Answer

δ = (TL²)/2GJ

Answer

δ = (PA²)/2E

Answer

δ = (FΔx)/A

Question 8

The stress-strain curve for a ductile material characteristically exhibits which of the following phases?

Accepted Answer

Elastic, plastic, and failure

Answer

Elastic and plastic

Answer

Plastic and failure

Answer

Elastic only

Question 9

Poisson's ratio is a measure of a material's tendency to:

Accepted Answer

Shrink in one direction while being stretched in another

Answer

Increase in volume while being compressed

Answer

Change shape while being bent

Answer

Become stronger with increasing temperature

Question 10

The modulus of elasticity, also known as Young's modulus, is a measure of a material's:

Accepted Answer

Stiffness

Answer

Strength

Answer

Toughness

Answer

Density

Question 11

What type of stress is caused by a force that acts parallel to the cross-sectional area of a component?

Accepted Answer

Axial

Answer

Shear

Answer

Torsional

Answer

Radial

Question 12

The formula for calculating normal strain is:

Accepted Answer

ε = Δl / l

Answer

ε = F / A

Answer

ε = σ / E

Answer

ε = P / V

Question 13

In a cantilever beam subjected to a force at the free end, the maximum bending stress occurs at the:

Accepted Answer

Fixed end

Answer

Free end

Answer

Midpoint

Answer

Quarter point

Question 14

What is the primary mechanism by which torque is resisted in a solid shaft?

Accepted Answer

Shear stress

Answer

Bending stress

Answer

Axial stress

Answer

Radial stress

Question 15

A thin-walled cylindrical pressure vessel is advantageous over a thick-walled vessel primarily in terms of:

Accepted Answer

Weight saving

Answer

Cost-effectiveness

Answer

Increased strength

Answer

Reduced deflection

Question 16

Which loading condition is most likely to induce biaxial stress in a component?

Accepted Answer

Pressure acting uniformly on a surface

Answer

Tension in one direction

Answer

Torsion on a shaft

Answer

Bending of a beam

Question 17

What is the main purpose of a strain gauge?

Accepted Answer

To measure strain

Answer

To measure stress

Answer

To measure force

Answer

To measure deflection

Question 18

Which of the following statements accurately describes the relationship between stress and strain?

Accepted Answer

Stress is the internal force per unit area, while strain is the deformation per unit length.

Answer

Stress and strain are both measures of force.

Answer

Stress is the deformation per unit length, while strain is the internal force per unit area.

Question 19

A ductile material is characterized by which of the following properties?

Accepted Answer

The ability to deform significantly before fracture.

Answer

High strength and low ductility.

Answer

Brittle fracture behavior.

Question 20

Which of the following loading conditions can cause both normal and shear stresses?

Accepted Answer

Combined loading

Answer

Pure bending

Answer

Torsion

Answer

Axial loading