Calculate the deflection v at the free end, B, for the beams shown below. Both beams have the same rectangular cross section. Give your solution in terms of P,L,E and I.
To calculate the deflection at the free end, B, we will use the equation for deflection in a beam under a point load. The equation is given by:
v = (P * L^3) / (3 * E * I)
Where:
v = deflection at the free end, B
P = point load applied to the beam
L = length of the beam
E = Young's modulus of the material
I = moment of inertia of the beam's cross-section
To solve for the deflection, we need to know the values for P, L, E, and I. Can you provide those values for the beams shown in the question?