Ch8(1-16) - ENGINEERING MECHANICS STATICS 2nd Ed W F RILEY AND L D STURGES 3—1 A steel bar with a rectangular cross section is used to transmit

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Unformatted text preview: ENGINEERING MECHANICS . STATICS. 2nd. Ed. W. F. RILEY AND L. D. STURGES 3—1* A steel bar with a rectangular cross section is used to transmit four axial loads as shown in Fig. PS-l. (a) Determine the axial forces transmitted by cross sections in intervals AB, BC, and CD of the bar. (b) Draw an axial force diagram for the bar. SOLUTION For overall equilibrium of the bar: + “9 BF“ = -35 + P - 20 + 18 = 0 P = 37 kip = 37 kip *% A load diagram for the bar, freewbody diagrams for parts of the bar to the left of sectiOns in intervals AB, BC, and CD of the bar, and an axial force diagram for the bar are shown below. a”; . 5?? 2C) )5; / From the free—body diagrams: + ——+ 2px = FAB — _35 = 0 F m 35 kip : 35 kip (TI Ans. + —e EFX = FBC — 35 + 37 = 0 FBC = ~2 kip : 2 kip (C) Ans. + ——e 212*): 2 FCD — 35 + 37 - 20 = o FCD = 13 kip = 18 kip (T) Ans. ENGINEERING MECHANICS - STATICS. 2nd. Ed. W. F. RILEY AND L. D. STURGES 8-6 The motor shown in Fig. P8—6 supplies a torque of 500 N-m to shaft BCDE. The torques removed at gears C, D, and E are 100 N-m, 150 N-m. and 250 N-m. respectively. (a) Determine the torques transmitted by transverse cross sections in intervals BC, CD, and DE of the shaft. (b) Draw a torque diagram for the shaft. SOLUTION g load diagram for the shaft, free—body diagrams for parts of the shaft to the left of sections in intervals BC, CD, and DE of the shaft, and a torque diagram for the shaft are shown below. SEND From the free-body diagrams: + C ZMx : TBC _ = 0 + C EMx TCD j 100 + C EMX Tm: ~ 100 + 150 = ENGINEERING MECHANICS - STATICS, 2nd. Ed. W. F. RILEY AND L. D. STURGES 8—10 For the steel shaft shown in Fig. PB-IU, _ (a) Determine the maximum akNm Ukwm fikNfl torque transmitted by any transverse cross ( T( 3 C—- .' D 1-” section of the shaft. (b) Draw a torque diagram '4“*m for the shaft. SOLUTION For overall equilibrium of the shaft: + C EMx = T — 8 — 15 a 6 + 14 = 0 T = 15 kN-m = 15 kN-m A load diagram for the shaft, free-body diagrams for parts of the shaft to the left of sections in intervals AB, BC, CD1 and DE of the shaft, and a torque diagram for the shaft are shown below. ’IIIIIIIIIy/ll/l/l/ Hfififilfilzfllllh From the free—body diagrams. + C EMg = TAB - + C EMx + C EM! ' 8 kN'm = 8 kN-m —C- i4 kN°m = 14 kN-m -C- Ans. ENGINEERING MECHANICS - STATICS, 2nd. Ed. W. F._RILEY AND L. D. STURGES 8—12* A bar is loaded and supported as shOWn in Fig. P8-12. (a) Determine the maximum axial load transmitted by any transverse cross section of the bar. (b) Draw an axial force diagram for the bar. SOLUTION For overall equilibrium of the bar: + T EFY = R - 2(40) + 2(50) - 2(10) - 10 = 0 R a 10 kN = 10 RN T .. A load diagram for the bar. free-body diagrams for parts of the bar above sections in intervals AB, BC, and CD of the bar, and an axial force diagram for the bar are shown below. From the free-body diagrams: + T EF : *FAB - l0 - 2(10) 2 0 F = -30 kN = 30 kN (C) — 10 — 2(10) + 2(50) = 0 F 70 RN = 70 kN (T) + -) IV} '11 II + 5—. O + N H C) - 2(50) + 2(40) = 0 F = ~10 kN = 10 kN (C) Ans. Tm EM 1 was; “w 33108 N“§$V‘Q Tug swat) A}me mm» GOT-YN‘M 6M afic «:a £00 mmM 1:- 0 '11; == 700 Mfim «ye—a 19.3.98 Mm “ {I V 0L Tm? ZZéEOA/véamw’ ,3 ,_—__—_.‘__ 1 ENGINEERING MECHANICS - STATICS, 2nd. Ed. W. F. RILEY AND L. D. STURGES 3-15* Determine the internal resisting forces and moment transmitted by section aa in the bracket shown in IFS—'15. SOLUTION From a free—body diagram for the part of the bracket to the right of section ea:- + -+ EFx = 300 — P = 0 P = 300 1b = 300‘1b +— M V = -500 1b = 500 lb $ + C EM: = M + 500(12) — 300(8) = o M = -3600 in-lb = 3600 in.-lb C 71x5 , ...
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This homework help was uploaded on 03/25/2008 for the course MEEN 221 taught by Professor Mcvay during the Spring '08 term at Texas A&M.

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Ch8(1-16) - ENGINEERING MECHANICS STATICS 2nd Ed W F RILEY AND L D STURGES 3—1 A steel bar with a rectangular cross section is used to transmit

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