Factored shear force of 140 kN is applied on a beam having breadth 250 mm. The beam is also subjected to factored torsional moment of 20 kN-m. The equivalent shear force on the beam is:

Question

Question

This question was previously asked in

UPPSC AE Civil 2019 Official Paper I (Held on 13 Dec 2020)

Answer 1

Concept

Equivalent Shear force (Ve) is given by

Where, T = Torque

B = Width of the section, V = shear force

Calculation:

Given,

B = 250 mm = 0.25 m,

V = 140 kN, T = 20 kN-m

Equivalent shear force is given by,

= 268 kN

Additional Information

Equivalent Moment (Me) is given by

Where, M = Bending moment, D = Overall dept, T is Torque