The beam shown in Figure Q.2 consists of a W610 x 140 structural steel wide-flange shape [E = 200 GPa; /= 1120 × 106 mm4]. If w=59 kN/m and P=129 kN, determine: 1.5 m B 3.5 m P C 2.5 m D Figure Q.2 Part A: The reactions at A, B, and D. Choose the reaction force at B as the redundant; therefore, the released beam is simply supported between A and D.

A complete free body diagram must be included.

A hole is punched at A in a plastic sheet by applying a 540-N force P to end D of lever CD, which is rigidly attached to the solid cylindrical shaft BC. Design specifications require that the displacement of D should not exceed 15 mm from the time the punch first touches the plastic sheet to the time it actually penetrates it. Determine the required diameter of shaft BC if the shaft is made of a steel with G = 77.2 GPa and Tall = 80 MPa. D 500 mm 300 mm The required diameter of shaft BC is mm.

Use the stiffnes method to determine all the displacement components at node 2 and all the reactions including the internal reactions at node 2. Show all calculations. Draw the Bending Moment Diagram of the frame. Show all calculations. Node 1 and 3 are fixed. L3 = 6.5m  L4 = 13m  w = 6.0 kNm P = 20 kN I = 300 x 10^6 mm^4 A = 10 x 10^3 mm^2 E = 200 GPa