A frame ABC with bending stiffness EIz is clamped at A and l

A frame ABC with bending stiffness, EI_z, is clamped at A and loaded at C with a horizontal force P. Using superposition and Appendix H: Find the load point deflection, delta. Find the rotation, theta_C, at the load point (+CW).

Solution

TO FIND: - TOTAL LOAD POINT DEFLECTION AT POINT C --- dc = ?

SOLUTION:-

2.1] b = PL^2 / 3EI

dc = [P(L/2)^3 / 3EI] + b(L/2) = (PL^3 / 24EI) + (PL^3 / 6EI) = 5PL^3 / 24EI = 5/24 (PL^3/EI)

dc = 5/24 (PL^3 / EI) (ANSWER)

2.2]   c = P(L/2)^2 / 2EI = PL^2 / 8EI

c = PL^2 / 8EI (ANSWER) (+CW)