The cantilever beam is loaded as shown in the figure. Derive the equations for the shear force (V) and the bending moment (M) for any location in the beam. Analyze the beam from the left, taking point A as the origin.

For the beam shown in the figure, Calculate the support reaction forces and find the internal forces and moments at a point located 2 m from the right support and then draw the shear and moment diagram for this beam.

Shear and bending moment diagram for the following beam

3- Draw the shear force and bending moment of the beam. You have to find their equation, and your diagram without calculation is not acceptable.(41) 20 kN 1.5 kN/m B 1m 1 m 4 m

Analyze the simply supported beam shown in figure-6, by drawing its Shear Force and Bending Moment Diagram. (CLO-2) 50 N 150 N.m 2m Rp 4 m 2 m RA Figure - 6

Give the expressions of the shear and moment at an arbitrary poistion x of BC segment, be careful of the sign.

(a) derive equations for the shear force V and the bending moment M for any location in the beam. Place the origin at point A.) (b) use the derived functions to plot the shear-force and bending-moment diagrams for the beam. Specify the values for key points on the diagrams. Wo A L

Calculate the internal shear force and the internal bending moment for the beam at every point x, and sketch the shear and moment diagrams. At what point in the beam (x=?) does the maximum normal stress occur?  Find the maximum normal stress, 0 , due to bending, At what point in the cross section (y=?) does the maximum normal tensile stress occur?? Find the magnitude of the maximum transverse shear stress on the cross section, T, due to bending at the point “A”. At what point in the cross section (y=?) does the maximum transverse shear stress occur?