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Module 2 (4)

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

In the case of a triangular section, the shear stress is maximum at the:

a)
  1. Neutral axis

b)
  1. Height of 2h/3

c)
  1. Height of h/2

d)
  1. Centre of gravity

2.

A circular beam section is subjected to a shear force of 40π kN. The maximum shear stress allowed in the material is 6 MPa. Calculate the safe diameter of the section, assuming a factor of safety equal to 2.

a)

266.66 mm

b)

133.33 mm

c)

522.22 mm

d)

300 mm

3.

A rectangular beam of 500 mm wide is subjected to maximum shear force of 250kN, the corresponding maximum shear stress been 3 N/mm2. The depth of the beam is equal to ______

a)
166.7 mm
b)
300 mm
c)
250 mm
d)
200 mm
4.

The yield strength of bolt material is 300 MPa and factor of safety is 2.5. What is the maximum principal stress using maximum principal stress theory ?

a)
120 MPa
b)
250 MPa
c)
200 MPa
d)
150 MPa
5.

If a body is subjected to stresses in xy plane with stresses of 60N/mm² and 80N/mm² acting along x and y axes respectively. Also the shear stress acting is 20N/mm²Find the maximum amount of shear stress to which the body is subjected.

a)

22.36 N/mm²

b)

20.50 N/mm²

c)

28.25 N/mm²

d)

25.00 N/mm²

6.

For a material where the shear stress is zero, if the normal stresses are σx=100σx​=100 MPa and σy=50σy​=50 MPa, what are the principal stresses?

a)
σ1 = 150 MPa, σ2 = 30 MPa
b)
σ1 = 100 MPa, σ2 = 50 MPa
c)
σ1 = 200 MPa, σ2 = 0 MPa
d)
σ1 = 125 MPa, σ2 = 25 MPa
7.
  • if σx​=150 MPa ,σy=50σy​=50 MPa, τxy=40τxy​=40 MPa

What is the maximum shear stress?

a)

70 MPa

b)

60. MPa

c)
80 MPa
d)
50 MPa
8.
  • If σx​=90 MPa, σy=30σy​=30 MPa, τxy=20τxy​=20 MPa

Find the values of the principal stresses (σ1σ1​ and σ2σ2​).

a)
σ1 = 100 MPa, σ2 = 10 MPa
b)

σ1 = 85 MPa, σ2 = 40 MPa

c)

σ1 = 95 MPa, σ2 = 20 MPa

d)
σ1 = 70 MPa, σ2 = 50 MPa
9.

Given a material with an initial length of L0=200L0​=200 mm and it is subjected to a tensile force that elongates it to L=210L=210 mm. What is the normal strain (ϵϵ)?

a)
0.05
b)
0.20
c)
0.15
d)
0.10
10.

If the principal strains in a material are ϵ1=0.005ϵ1​=0.005 and ϵ2=−0.002ϵ2​=−0.002, what is the maximum shear strain (γmax)?

a)
0.0035
b)
0.0010
c)
0.0040
d)
0.0025