Wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

unit 3-Strain Energy and Modulus of Resilience

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

What is strain energy?

a)

Energy stored in a body due to deformation

b)

Energy released during fracture

c)

Kinetic energy of a moving body

d)

Heat energy generated during loading

2.

Strain energy is typically stored in a material when it is subjected to:

a)

Compression only

b)

Tension only

c)

Any elastic deformation

d)

Plastic deformation

3.

The unit of strain energy is:

a)

Newton (N)

b)

Joule (J)

c)

Pascal (Pa)

d)

Watt (W)

4.

Strain energy is a measure of:

a)

Work done by external forces

b)

Energy dissipated as heat

c)

Energy stored due to elastic deformation

d)

Permanent deformation energy

5.

Proof resilience is defined as:

a)

The maximum strain energy stored at failure

b)

The maximum strain energy stored at the elastic limit

c)

The total energy stored in a material

d)

The energy required to break a material

6.

Modulus of resilience is the proof resilience per unit:

a)

Length

b)

Area

c)

Volume

d)

Mass

7.

The modulus of resilience is expressed in the unit:

a)

J/m²

b)

J/m³

c)

N/m

d)

N/m²

8.

Which material property is directly related to the modulus of resilience?

a)

Yield strength

b)

Ultimate tensile strength

c)

Hardness

d)

Ductility

9.

The strain energy stored in a bar under axial load is given by:

a)

U = (P²L)/(2AE)

b)

U = (PL)/(AE)

c)

U = (P²L)/(AE)

d)

U = (PL²)/(2AE)

10.

For a bar under axial tension, strain energy depends on:

a)

Load and material density

b)

Load, length, area, and Young’s modulus

c)

Length and temperature

d)

Area and weight only

11.

If the axial load on a bar is doubled, the strain energy stored will:

a)

Remain the same

b)

Double

c)

Increase by four times

d)

Decrease by half

12.

The strain energy in a bar is zero when:

a)

The load is applied gradually

b)

The bar is not deformed

c)

The bar is plastically deformed

d)

The bar is under shear stress

13.

When a load is applied suddenly to a bar, the instantaneous stress is:

a)

Equal to gradually applied stress

b)

Twice the stress due to gradual loading

c)

Half the stress due to gradual loading

d)

Zero

14.

For a sudden load, the instantaneous stress is calculated as:

a)

σ = P/A

b)

σ = 2P/A

c)

σ = P/(2A)

d)

σ = P²/(AE)

15.

In an impact load, the stress depends on:

a)

Height of drop and material properties

b)

Load weight only

c)

Bar length only

d)

Temperature of the bar

16.

The instantaneous stress due to an impact load is generally:

a)

Lower than sudden load stress

b)

Higher than sudden load stress

c)

Equal to sudden load stress

d)

Zero

17.

A bar with cross-sectional area 100 mm² is subjected to a sudden load of 10 kN. What is the instantaneous stress?

a)

50 MPa

b)

100 MPa

c)

200 MPa

d)

25 MPa

18.

A bar of length 1 m, area 50 mm², and E = 200 GPa is subjected to a sudden load of 5 kN. What is the deformation?

a)

0.5 mm

b)

1 mm

c)

2 mm

d)

0.25 mm

19.

A weight of 2 kN falls from a height of 0.1 m onto a bar with A = 100 mm² and E = 100 GPa. The instantaneous stress is approximately (assume basic impact formula):

a)

20 MPa

b)

200 MPa

c)

400 MPa

d)

100 MPa

20.

A bar under an impact load of 10 kN with h = 0.05 m, A = 200 mm², L = 1 m, and E = 200 GPa has a deformation of approximately:

a)

0.5 mm

b)

1.25 mm

c)

2.5 mm

d)

0.1 mm