5.8-6) A cantilever beam of length L = 2 m sup- ports a load P = 8.0 kN (see figure). The beam is made of wood with cross-sectional dimensions 120 mm X 200 mm. Calculate the shear stresses due to the load P at points located 25 mm, 50 mm, 75 mm, and 100 mm from the top surface of the beam. From these results, plot a graph showing the distribution of shear stresses from top to bottom of the beam. P = 8.0 kN 200 mm L = 2 m 120 mm PROBLEM 5.8-6

A beam AB with overhanging is 6 m in length and made from steel as shown in Figure 2. It is supported by a pin at A and a roller at B. The beam carries a linearly distributed load of 35 kN/m alongAB and uniformly distributed load of 8 kN/m along CD. A moment of 8 kNm is acting at D. Thebeam has a cross-section x-x as shown in Figure 3.a) By using shear-force and bending-moment equations, determine the magnitude of the shear force and bending moment at points A, B, C, and D.b) Construct the shear force and bending moment diagrams for the beam. State all the important values and location of inflection point (if any).c) Calculate the maximum bending stress of the point where located at the inflection point.d) Determine the maximum shear stress and shear stress at point Y.

A beam is loaded as shown in the figure. The length 1-20 in. and the load locations are a=10 in. and b= 15 in. The beam is steel with E = 30 Mpsi. The magnitude of the concentrated force is F= 500 lb and the distributed load is 50 lb/in. The dimensions of the beam cross-section are h = 5 and t = 2. You will be finding the deflection and slope at the end of the beam. a b 1 W F

Find the maximum transverse shear stress value. Find the maximum bending stress σb Find the maximum normal stress and the maximum shear stress developed in the shaft