A distributed load and a force is applied to a beam, where a = 2 m, b = 7 m, c= 3 m, w = 2 N/m, F = 5 N, and 0 = 45°. W F • P Determine the internal normal force (N), shear force (V), and moment (M) at point P, located at distance x = 4 m from the fixed support. (Note: Remember the sign conventions.) N = number (rtol=0.01, atol=1e-05) V = number (rtol=0.01, atol=1e-05) N M = number (rtol=0.01, atol=1e-05) N'm

]: A horizontal beam with a length of 4.5 m is subjected to the shown loading. The forces are vertical and the couple moment is applied at point D. The figure is not to scale. 3 kN/ m 1 kN/ m 3 kNm A В C D E 1 т 1.5 m 0.5m 1.5m 0.6 KN 1.35KN (a) Motivate with substantiating explanations and clear and applicable calculations why the beam is in equilibrium. (b) Draw the shear force and bending moment diagrams for the beam. Calculate all local maxima and minima, zeros and points where the diagrams change shape, and show these values and points on the diagrams.

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…

Example 2 Sketch the SF and Bending Moment diagrams ● A 2m 10kN 3m 8kN 15kN m 22