Q2: The cantilever beam shown in Fig.2. is uniformly tapered along its length in both x and y directions and carries a load of 100 kN at its free end. Calculate the forces in built-in end if the booms resist all the direct stresses while the walls are effective only in shear. Each corner boom has a cross-sectional area of 900 mm? while both central booms have cross-sectional areas of 1200 mm?. the booms and the shear flow distribution in the walls at a section1.8m from the 1.6m 100 kN 0.8 m 0.4 m 4 m 0.8 m

a) Calculate the reaction forces in terms of F andtheta.b) Calculate the internal shear force and moment as a function of x using cuts and summingforces and moments in terms of F, L, andtheta.c) Calculate the shear force and moments by integration in terms of x, L, F andtheta.d) Assuming a rectangular cross section compute the average normal stress for the case F =10kNat 30° where b =0.04 m, h = 0.08 m, at the point x = L/4, L = 1 m at the centroid.e) With the cross section given above compute the average normal stress for the case F =10kN at30° at the point x = L/4, L = 1 m at each surface of the beam.f) Calculate the shear stress at the top and bottom surface, at the neutral axis and at x = 0.25 mand y = 0.02 m above the neutral axis.

BP3: A simply supported rectangular beam with length= 5', height =5", and depth = 1" is loaded with distributed load of 100 Ib/in over its entire length. Determine normal and shear stresses at a point 1' from right and 1" from the top.

Find the largest normal and shear stress that will occur in the T-section beam given loading status.