Question

blem 2. (70 points) 1. For the beam shown in Figure (a): a) b) draw the shear force and bending moment diagrams. (30 points) Select the most economical W shape for the beam with an allowable bending stress of 30 ksi. (10 points) determine the maximum tensile and compressive bending stresses at any location along the beam if the section shown in Figure (b) is used instead of the W shape section selectedin Part b. Would the beam be safe now? (30 points) c) 8 Kips/ft 20 Kips 12 Kips/ft 15 Kips.ft ps.TETw F 8ft Figure (a) 2 in 3 in 2 in 3 in 2 in 1 in 3 in 10 in Figure (b) 13 wipa/t 8 ft 6 ft

Answer 1

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ptome9n 2 4o 3331 539.5 egatve gn shows the Vo is acting in oppesite dirclen of cissumed direction No om1 G81 +183 81 132 g311-81-13 2 vi 133.34 61 C-y 85.3 Shear force daieram

are tho se ow or ben ding moments cri Sehove to find Bendin moment 4 Bending Moment at g 1 cwhere sh torce is ero charges sign o er cd B ,DF 20 Boundars condidions Ax direction iTng 2 M 120 sf CelecKeise ) Bending Moment d F

end ing Moment ed o 2o Mo 6 A G.13 匕 YD V0 131-52 21.52 120 2 b en din Me mon dlaig ram g

2ih 3 c epia de distance CuiS 2 3 43 LA Areaofthed portien Axe)3x12 (lox2) こ11 " 2 8 in L gc- 244 6 1 from top ra cendroide dustance o portion from NA) 12. 12 12

eending stress 1s ven Maxm-ve bend ing rAcmert Com 2-38 xio2 .72、ス0.53 238 xI02 30-1o 녜28 9 구).