Instructor's Manual to Accompany Statics and Strength of Materials For Architecture and Building Construction Third Edition Barry Onouye Kevin Kane Preface This Instructor's Manual to accompany Statics and Strength of Materials for Architecture and Building Construction, was initially developed as a study guide for students taking my beginning structures classes. All of the problems were developed in sufficient detail to allow students to use these problems as additional examples, paralleling the content covered in the text. In the 3'd edition of Static's and Strength of Materials for Architecture and Building Construction, a CD is provided with approximately 250 additional problems and solutions for practice. Although all of the problems have been worked and reworked and scrutinized very closely by many of the students over the years, errors are still inevitable. Alternate interpretations of certain problems are also quite possible. If you discover discrepancies and/ or errors, please bring them to my attention. I appreciate hearing from you so that I will be able to incorporate the corrections in future editions. My e-mail address is: barryo@u. w ashington.ed u. I hope that you find this Instructor's Manual helpful and feel free to allow students access to these problem solutions. March 2006 Barry Onouye University of Washington Contents Solutions to Chapter Problems: Chapter 2 P· 1 Chapter 3 p. 22 Chapter4 p.47 Chapter 5 p.57 Chapter 6 p,62 Chapter 7 p. 71 Chapter 8 p. 76 Chapter 9 p. 87 Chapter 10 p.96 R.- 17:;• G • 5o • rROH ~z.. ~ = 4o• r~toM veRT. . e;;- - ---.:1 ~· ,o.ooo'" -........._ - --------~--,;;. -~zo T,= l~.S"kl{ f~_:~, ~ 9Mil.At.. ~5: I fr .ft.. • ..f: a I - 4 ? 5 • :. F,.• ~F· %('~-~ fy"~ F• ~(iooo)" rgoo• 5JIJ e• y, cose. '5 . . F~ • F .:cse ~ (loo:l)(f1)"' .f£!:1: Fy = F ~ e • ( JocctX~) • fiiX>. . T ,k1\ l G."'T~ P" T Ty"T<~Id T 1 -y .. T= T. CD5 to" \Y \~p-,oo*~" • lZ. A- Q)IS'tTJE ;v;;w -2.8 \ p /" '%,~'\ 'r \ /- , . f,.. f'x • P(k) • -,oo"'( .31" = ~ fy ~ f'~)- "30?. . (.~"")' 2.85 .. IY I For= •F, cos }(/• to'{.~)· e.~r.. f, .. ~•F,~'P"•tCI'(.'5)· 5' fz = -F.. ~"' - 12"- F,,.- -+,.', .F-.= ... n'"- "' ,z., ~ F, -= -~F," -~ 1 6 lr I _&0.]_.:_ l( ;/r f-,..w 9· ~ • = .70Z I e = -t. ... _, (7oz) I ~ .· . e " ;5.! .. rR0-1 nolttz.. 1)-•4" ~e· .&. .,..5• Fz.• IZ."" !<:. ..& R~ ~e ~-rd<- .: R- _.,;,K "'~ Ji li~--- _' -T"'y• -T...: ti>J~---:'"'T.o.<:. tr. .• --r "oo"' T..a· -+T~ • -+T~~;0!>-«1'• +.716-,;;. 4t:l--. '"Z lOc··eoo"M- <y -T~- -Tuo &N T.u> I h e. t ... ...-' (!fl.t)- t ... ~-· (16.1) oe e&. e.· 4: .. t ....· • ~- t......,-• (.~) .. -,r R~ .J:;•f.1,•t-t0782. = lo7'!1. 2.10 SCALE: f,.,.,., = toiJ ' ' ' ' ' ' y ~OTto..TE ,o..XI!:> SO !HAT THE RE.5ULT AfJT TH!W ThE !300M AXI~ Ll!!~ 0"-.1 THE. )(-AXIS. Tt1Ef.J, Ry c .! Fy "' 0 -\V.._- - ~ ~-,o·- -.BI<:b\V - \Vy""- '" 51"4 ¥f- -.'5'V I - f"k ,. - F c~ "Kf- - .764>F • Fy = + F ~"' <let,. -t-. 6'~2 F -. 5(z.oo"'J -t .G42 F - 0 F· ~ .. 15~· ~- 2.1/ I I -FL>< - -F.. .. C05 2,-• -F&y -- Fa ~ c'5• ~ THe RE:ULT ANT I"U5T EC. V~TICAL, Tl"""e.N: R, • i:F,. • 0 -Fz,. ... F. -o fz c.cs e5" - r; F~CM Tl117 f!OUATletJ, IT 15 ~ THAT I'[ 15 OJL'( A ~TION OF F~ THe~, I;- 7k.IJ 1 THEtJj F. .. f~ cos 25"" - 1 kt-1 (. ~) F; - ~.3-\ ldl f~ .. 7 kN RD Fzy ~ 7 k.ti (9-1 2'5"') R.." 7l<N (. 422') ~ 2.~5 kN GRAF'ti!:AU.Y ;