Module 2 (4)

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

• 1. Neutral axis

• 1. Height of 2h/3

• 1. Height of h/2

• 1. Centre of gravity

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.

• 266.66 mm

• 133.33 mm

• 522.22 mm

• 300 mm

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 ______

• 166.7 mm
• 300 mm
• 250 mm
• 200 mm

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 ?

• 120 MPa
• 250 MPa
• 200 MPa
• 150 MPa

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.

• 22.36 N/mm²

• 20.50 N/mm²

• 28.25 N/mm²

• 25.00 N/mm²

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?

• σ1 = 150 MPa, σ2 = 30 MPa
• σ1 = 100 MPa, σ2 = 50 MPa
• σ1 = 200 MPa, σ2 = 0 MPa
• σ1 = 125 MPa, σ2 = 25 MPa

• if σx​=150 MPa ,σy=50σy​=50 MPa, τxy=40τxy​=40 MPa

What is the maximum shear stress?

• 70 MPa

• 60. MPa

• 80 MPa
• 50 MPa

• If σx​=90 MPa, σy=30σy​=30 MPa, τxy=20τxy​=20 MPa

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

• σ1 = 100 MPa, σ2 = 10 MPa
• σ1 = 85 MPa, σ2 = 40 MPa

• σ1 = 95 MPa, σ2 = 20 MPa

• σ1 = 70 MPa, σ2 = 50 MPa

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)?

• 0.05
• 0.20
• 0.15
• 0.10

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)?

• 0.0035
• 0.0010
• 0.0040
• 0.0025