A beam of uniform flexural rigidity supports a set of loads as shown in figure below.
What is the value of W if the magnitude of bending moment at midspan and at support of the beam are numerically equal?
R=W2+10
Bending moment at support
=(W2+10)×2−10×4
= W + 20-40 = -20
Bending moment at support
=−10×2= 20 kN−m