P1. Ignore the weight of the beam when answering the following questions. For a simply supported beam of length L (i.e. pinned at x = 0 and x = L) with a vertical point force P applied at x = L/4: 1. Derive an expression for M(x). You should get two different equations, one for 0 < x Question 1 Derive an expression for M(x) from 0 < x < L/4 -3PX M(x) = 4 3 Px M(x)= 4 -3Px M(x) = 4 3Px M(x)= 4 Question 2 Derive an expression for M(x) from L/4 < x < L Px PL M(x)= - 4 4 - Px PL M(x)= + 4 4 M(x)= -Px PL + 16 M(x)= Px2 PL 4 16 Question 3 Derive an expression for y(x) from 0 > Question 4 > Derive an expression for y(x) from L/4