3- Use Macaulay functions to determine the equation of the elastic curve of the beam. The beam has a flexural stiffness of El. What is the rotation of the beam at point C for the case of a = 2b? P <<** a ② 이* b

Consider the beam in the picture below: 7kN/m 5kN/m P N/m Section 1 Section 2 Section 3 - L/3 L/3 L/3 Take P = the last four digits of your student number in N/m. If P<250 N/m then take P = 30OON/m instead. Take L = the third digit of your student number, reading left to reight. If this value is zero then take L = 2 Assume: The reaction at the Pin = Vnin 47000L+9PL )N %3D 54 The reaction at the Roller = Vroller = 61000L+9PL 54 N and that both reactions act vertically upwards. a) Find an expression for the internal moment for Section 1. Show all working and any relevant free body diagrams. b) What is the maximum magnitude of the internal moment for Section 1? Mark sure you prove that the value you calculate is the maximum. c) Find an expression for the internal moment for Section 2. Show all working and any relevant free body diagrams. d) What is the maximum magnitude of the internal moment for Section 2? Mark sure you prove that the value you calculate is the maximum. e) Find an…

The Figure shows a loading set up similar to that of the 'Bending in Beams' laboratory experiment. E = 200 GNm"2 and I = 2 x 109 m“. The bending moment and the radius of curvature at any point in the beam between the support points B and C are respectively: 1 kN 1 kN B 0.125 m 1.25 m O a. (-)125 Nm, 1.2 m O b.(-)12.5 kNm, 2.8 m O C. (-)2.5 kNm, 2.4 m O d.(-)125 Nm, 3.2 m

Read Properly & Please provide Correct Answer.

Calculate reactions Ra and Rb with the following values F1 = 230     F2 = 582    Udl = 2000N with workings out please. Thanks.

For each of the following beams draw the bending moment and shear force diagrams stating the maximum bending moment and shear force. Figure 5 (the logger weighs 102 kg and the log is 4.878m) 50 kN/m 30 kN/m B 3 m Figure 6

Solid

B4