Determine the slopes and deflections at points B and C of the cantilever beam shown in the figure by the conjugate beam method. 20 kips E= 29,000 ksi 15 ft 10 ft 1= 6000 in |= 3000 in

1. Use the conjugate-beam method to determine the slope and deflection at point B of the beams shown in the figure. A 2 k/ft -30 ft- El = constant E = 29,000 ksi I = 3,000 in.4 B

QUESTION 2 - BEAM For the beam shown below, determine the vertical deflection at point B by using the virtual work method. EI is constant. -5 ft A -5 ft 12 k Į -5 ft B -5 ft- 70 k-ft Fig. 2

The beam in Figure 1 has a symmetric cross-section with E = 200 GPa and 1= 17.5×10° mm*: • derive the algebraic expression for the deflection as a function of x = the distance from the left support (A). Use this to calculate the slope at the right end, and the maximum deflection in the beam and its location. 20 kN/m 75kN.m v(x) = j z j dv/dx at right end = Vmax Figure 1 location (i.e. x value) of Vmax =