Situation 1 Using double integration method, determine the slope and deflection at the free end of the cantilever beam shown. Use L = 5 m, E = 200 GPa, and I = 150x10 mm¹. TZ

Given a cantilever beam of length L=2.1meters. The left support “A” is free while the right end “B” is fixed. With constant EI=19000 KN-m2 A downward concentrated load of 70KN is applied at “A”. Using Double Integration Method (DIM) with origin taken at point A where 0 ≤ x ≤ L, calculate the deflection at midspan? Express your answer in "mm" in 2 decimal places. Include (-) negative sign if deflection is downward.

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 =

2. Using double integration method (DIM), determine the deflection at midspan. consider El as constant and start x from A. A B√ 2.5 25 3 2.5 E