Machine-translated by Google. Questions are authored in English.
Top

Discussion

A beam, of 5 m effective span, has its left end 'P' as a free end; whereas its right end 'Q' is a fixed supported end. The beam is subjected to a uniformly distributed load of 3 kN/m on the entire span. Find the point with the maximum shear force.

  • A.Point 'Q'
  • B.Midpoint of the beam span
  • C.1 m from the fixed support
  • D.Point 'P'

Answer: A

The beam is a cantilever, free at P and fixed at Q, and loaded with a UDL of 3 kN/m. The shear force at a section a distance x from the free end is \(w x\), which grows steadily towards the fixed end and is greatest at the fixed support:

\[ V_{max} = wL = 3 \times 5 = 15\ \text{kN at Q} \]

The shear at the free end P is zero, and at the midpoint it is 7.5 kN and at 1 m from the fixed support it is 12 kN, both smaller than the 15 kN at Q.

No comment is present. Be the first to comment.
Loading…

Post your comment

Please log in or register to post a comment.