In figure shown, use left end of the beam as reference and assume the upward reaction provided by the ground to be uniformly distributed. (a) Write the shear-force and bending-moment equations (not simplified and simplified -) at each segment (b) draw the shear-force and bending-moment diagrams 60 kN 40 kN/m 40 kN/m B. D. . Label all significant points on each diagram 1 m 1.5 m 1.5 m 1 m

Draw shear force and bending moment diagram by using equation method. 20 kN 20 kN/m 4 m 2 m

Compute the reactions and draw the shear and rnoment curves for the beam in the Figure. Given: E = 200 Gra and I = 120 × 106 mm* B w = 40 kN/m C. 15m 5 in 5m 5m E RES

For the beam shown in the figure, draw the shear force and bending moment diagrams using slope-deflection method. A w = 4 kN/m 8 m B m +-2m- C

2.0 m ㅏ F 3.0 m q 4.0 m The above freely supported light uniform beam of length 10 m carries a point load F = 45 kN and a uniformly distributed load q = 23 kN m −1 at the positions indicated. Find the shear force V (x) and the bending moment M(x) at the following points along the beam. Give your answers correct to two significant figures. At the point x = 4 m the shear force and bending moment are: V(4) and M(4) = KN kN m. At the point x = : 8 m the shear force and bending moment are: KN = V(8) and M(8) = kN m 1.0 m + -+

.  A beam with the thin-walled cross section in the figure is subjected to a shear force ?=20000lb. (The wall thickness is not shown to scale.). Assume that the thickness of the section isconstant. (a) Determine and sketch the distribution of the shear flows on the flanges and the web.(b) Determine the location of the shear center on the symmetrical line. Point ? is the center ofthe web.