High School

We appreciate your visit to 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. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

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

Answer :

Final answer:

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.

Learn more about Shear Stress here:

https://brainly.com/question/35130467

#SPJ11

Thanks for taking the time to read 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. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada