Determine the deflection at point C of the beam shown by Castigliano’s Second Theorem

determine the sign and magnitude of (a) the slope at end A, (b) the deflection at end A (use method of superposition) P MA = Pa C A a- B L

For the simply supported beam shown, find the slope at A and the maximum deflection. Using moment area method. Neglect the weight of the beam. The moment of inertia of segments AB and CD of the beam is I, and the moment of inetia of segment BC is 2I. L= 4ft, P= 4 kips, E= 30x 10^6 psi, I= 16 in^4

Rod AB is made of steel (E = 29x106 psi), and rod BC is made of aluminum (E = 10.4x106 psi). If force Q = 10 kips, R =5 kips and P = 5 kips, find the deflections of points B and D. %3D 24 in 10 in- 10 in A B C R D 1 in diameter 3 in diameter