This preview shows pages 1–6. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
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. PSl.
(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 86 The motor shown in Fig. P8—6 supplies a torque of 500 Nm to shaft
BCDE. The torques removed at gears C, D, and E are 100 Nm, 150
Nm. and 250 Nm. 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 freebody 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. PBIU, _
(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 kNm = 15 kNm A load diagram for the shaft, freebody 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 kNm —C
i4 kN°m = 14 kNm 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. P812.
(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. freebody 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 freebody 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»
GOTYN‘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 315* 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 inlb = 3600 in.lb C 71x5 , ...
View
Full
Document
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.
 Spring '08
 McVay

Click to edit the document details