Solutions For Fundamentals of Structural Analysis Chapter 10 Problem 26P

Take moments about the point A.

Consider equilibrium along x- direction.

Consider equilibrium along y- direction.

Draw the P system.

Consider sections at a distance of from C

Write the moment equation from the P system.

Draw the Q system for vertical deflection at C.

Apply vertical unit load at the point C by removing all the real loads.

Here, P system consists of real loads and Q system consists of virtual load at the point where the deflection is to be found.

Write the moments from the Q system.

Calculate the vertical displacement using virtual work method.

Substitute 200 GPa for E and for I.

Therefore, the vertical deflection at the point C is .

Draw the Q system for horizontal deflection at C.

Write the moment equation from the Q system.

Calculate the horizontal displacement using virtual work method.

Substitute 200GPa for E and for I.

Therefore, the horizontal deflection at the point C is .