Class 18 - Composite Beams Including R-C Flexural Elements

Structural Analysis (6th Edition)

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Unformatted text preview: 33333333233 33;: <3 3333 33 33333 63%, 3333333333 @3333 '33 333 333333 33333333333333? 3 333,333.37 ”:33 «333W 3, 3 , , f: g 3, gmsgy 33 {3333313333333 33/ ,» 77, g {jg Q $3537 ; 3: 3:33:36 5333:3333 33332; 3233333?ng _ . 33333333333 333333333 333 {333‘ f f“ V M {333333333333 g‘émm 3 3333333 3333333333; 3333:3333 “7?? 355333 3333 3, WWW Wm gggggfi 4:12;} ’“figmafiaaéfi affix; ”:3 “M ggwxmagflg? Méfiggfiéfigf m Gaga: flexaag Maggi . ‘ SM {iféfiéé w»? ”Saar: @wfis égééargfi fizz/3&1? Vév‘éééw :E‘éjj/ Rfifii’zfléfia 2 {Q}: wwmwmwwfw. \g 2% ggm «a figs/3&5; §&3323%W” $53M” CW; {751% a: (afiéézdsf ,_ “bag awn-aw giggz {:ffiék :3 C£$ég> égéfié 5i; {:3};ng 39g 33%;; 6,; w fw géééfi ?(\> Cafigfiéfig . 5E3 (5% ngg, gar/gag fiat: TQEKQ '?’ if“, 5%? £1536 Ejkawgzé ’ M E5 W _ {1/ @ngmmwag £1»; Cfifixgfifégééfiké g; ééiggs; £1736; £93 §WQ¢§§QM 6-126. The reinforced concrete beam is used to support the loading shown. Determine the absolute maximum normal stress in each of the A-36 steel reinforcing rods and the absolute maximum compressive stress in the concrete. Assume the concrete has a high strength in compression and yet neglect its strength in supporting tension. 10 kip 1o kip 15 in. L— fi—L—aL—Sft4 ft 1 in. diameter rods 6426 The reinforced concrcle beam is used to suppon the lending shown. Delermine the absolute maximum normal are“ in each of [he N36 steel minimfing rods and the absoiute maximum comptess'we stress in the comma. Assume 1h: concrete has a high strength in compression and healed its strength in supponing tension. Man: 3 (10513)“ ft) 3 40 59- fl A“ = 3(7: )(05)2 = 2.3562 1112 5,. = 29.01103) 1151 12”,. = 4.211(1031ksi ~ 2""(’(m3)(2.3562) = 16.2690 113 . 4.20003) 57.622221 Xy'A = o; sum—'5).- 16269003413 2 o ' = 1 h“ +4.06724h~ 52.8741 = 0 Solving for the postive root: 11': 5.517 in. I = [112(8x5517)’ + 8(5.517)(5.517l2)2]+16.269003— 5.517)2 = 1358.731 in‘ My 40(12)(5.517) 0:0» max = “‘" = 3195 k5 A .9 ‘ ( ) I 1353.781 ‘ “s My 29.0003) 40(12)(13—5.517) . a, .. = -- = ~—-——~— ——-——~—-—-—— = . ( ')"' "(1) (4.211(1031)( 1358.781 ) 183m Ans 365 ...
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