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337_Mechanics Homework Mechanics of Materials Solution

337_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: ________—..._._.-.———-——-——-—--——- 4.58 A concrete beam is reinforced by three steel rods placed as shown. The modulus of elasticity is 3 X 10‘5 psi for the concrete and 30 X [0‘ psi for the steel. Using an allowable stress of 1350 psi for the concrete and 20 ksi for the steel, determine the largest allowable positive bending moment in the beam. PROBLEM 4.58 SOLUTION ._, ——-_——._—— .- I. HA5 -= 13.040 in x Luca/+12. med-rum) sun's. axis H 87:35.; — (rs.oqo)(m—x\ = o l . E "Ag—J 4x3 13.0w 7!, - 252.4% = o f g = —18.040 +4 I8-0~t01+(4](4](2§2_5g) : 6 005 ; .E Solve 42:0 X X (2)0!) . n. lq—x = 7-?95 in I = J— 8 x3 + nA (H-xl‘ = immoos)?’ + 03.0%)(709353‘ 3 5 = 1730.43“f ' = n My = 5'3: {6! l .1: l M w Cone—rein: h= 1-0 , lJl" 6.005 in, 15" '= ISSD (Jsr‘ M _ (13$O)U730.5‘) '- U-° )(g.oos’) = 3344103 ijim = 33? tarp, Shed: In = lo 3 l3) = 7. ans ) 6 = 20 #03 par M =l———o:*;::1€:;:°-$> = rm = k Choose +Lc Smaller Vat/9w: M = 38‘! kip-I‘m 3 32.9 k-‘po‘P‘l ‘3 ...
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