A rectangular beam, 100 mm wide and 380 mm deep, is subjected to a shear force of 180 kN. Calculate the shear stress in the beam:

i) At mid-depth

ii) 80 mm below the top of the beam

To calculate the shear stress in a beam, you compare the applied force to the cross-sectional area of the beam. In this case, we have to calculate shear stress at two different positions within the beam, involving different amounts of the cross-sectional area.

Explanation:

The question is about calculating the shear stress in a rectangular beam using the given dimensions and the applied shear force. Shear stress is defined as the force per unit area, and in this case, is given by the equation: τ = F/A, where F is the force and A is the area.

i) At mid-depth, the whole cross-sectional area is involved in resisting the shear force, so the area is 100mm x 380mm and we calculate the stress accordingly.

ii) 80mm below the top of the beam, the area involved is now only 100mm x 300mm.

By substituting the force and areas into the formula, we can compute the shear stress at both situations.

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A rectangular beam, 100 mm wide and 380 mm deep, is subjected to a shear force of 180 kN. Calculate the shear stress in the beam:i) At mid-depthii) 80 mm below the top of the beam

Answer :

Final answer:

Explanation:

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Other Questions

A rectangular beam, 100 mm wide and 380 mm deep, is subjected to a shear force of 180 kN. Calculate the shear stress in the beam:

i) At mid-depth

ii) 80 mm below the top of the beam