The Symmetric Distributed Load Problem

Van Warren
Warren Design Vision

Problem: A beam is subjected to a symmetric distributed load along its span:

Determine the spanwise load constants wm, wb, wm', and wb', in the distributed load equations:


(primes refer to the second load, not derivative quantities.)
in terms of:
wl: distributed load value at left and right ends.
wr: distributed load value at peak.
a, b, L: from diagram