Fig. 1 shows a simply supported beam structure. It exhibits a cross-section as per Fig. 2. 20 kN A - 5 m C Fig. 1 150 mm 4 kN/m B 5 m 30 mm 60 mm 60 mm 100 mm 30 mm Fig. 2 2

609 6 mm Example 4 A simply supported beam with a cross-section as shown in Fig. 1.19 spans 15 m and carries a total uniform load, including self weight, of 50 kN/m. If the beam is prestressed with a force (P.) of 2000 kN acting at an cccentricity of 400 mm below the centroid. 2-2-70,73x106 mm A-2.9x10s mm 1. Determine the stress distribution at midspan. 2. The resulting stress distribution diagram 3. Chk with ACI stre sses Answer (15.47 N/mm?, 1.67 N /mm) 15m Figure 1.19

Q8a. The beam section below is solid and homogenous and has the following dimensions: b1 = 65 mm (top flange width), b2 = 65 mm (bottom flange width) and b3 = 25 mm (web width). d1 = 175 mm (section depth), d2 = 25 mm (top flange depth) and d3= 30 mm (bottom flange depth). For the solid homogeneous beam section shown below, determine its centroid coordinate x relative to the origin (0, 0) of the x-y axes. Give your answer for x in millimetres (mm) to two decimal places. b1 ]]d2 b3 di [d3 b2 Answer:

Answer the following and show your solutions: Problem Calculate for the support reactions of the beam shown ( 10 kN 8 kN/m 8 kN 15 kN.m hinge 75 2.5 m 2 m 3 m 3m 3 m 4 m