PROBLEM 3. Determine the displacement and slope at point C of the cantilever beam. The moment of inertia of each segment is indicated in the figure. Take E = 200 GPa. Use the principle of virtual work. 12 kN/m 8 kN/m B IBC 150 (10) mm IAB 600 (10) mm 1m 2 m

4- Using Castigliano's theorem, determine the displacement of point B of the beam shown below. Take E-210 GPa, I-285x10 mm. 5 m B 10 kN/m 4 m M= 20 kN.m A

A III [ 2 m d 300N B 3m 307 M=1500Nm For the above diagram, given that F₁-800 N, w = 400 N/m and d = 4 m, calculate the following (neglect the depth of the beam). Note that there is a pin support at A and a roller support at B. 1. The magnitude of the resultant of the applied forces, FR. Please provide the answer in kilo Newtons and report the answer to three significant figures. Please include the unit ("kN") within your answer. 2. The angle of the resultant forces, FR measured counter-clockwise from the negative x axis. Please provide the answer in degrees and report the answer to three significant figures. 3. Locate the resultant forces, FR so that it is equivalent to the system of applied forces. Calculate the offset distance of the resultant force, FR measured from point A. Please provide the answer in metres and report the answer to three significant figures.

View Policies Current Attempt in Progress Replace the three forces shown by an equivalent force-couple system at point A. If the forces are replaced by a single resultant force, determine the distance d below point A to its line of action. 200 N Answers: R= 285 N i d = M = i Force-couple system at A. The force is positive if to the right, and the couple is positive if counterclockwise. Single resultant force. 150 N 690 mm 690 mm 690 mm N N-m mm