g g g
SOLUTIONS
, Contents
Chapterg1 ........................................................................................................................................... 1
Chapterg2 ........................................................................................................................................... 6
Chapterg3 ........................................................................................................................................... 23
Chapterg4 ........................................................................................................................................... 41
Chapterg5 ........................................................................................................................................... 55
Chapterg6 ........................................................................................................................................... 62
Chapterg7 ........................................................................................................................................... 74
Chapterg8 ........................................................................................................................................... 84
Chapterg9 ........................................................................................................................................... 92
Chapterg10 ..........................................................................................................................................109
Chapterg11 ..........................................................................................................................................119
Chapterg12 ..........................................................................................................................................137
Chapterg13 ..........................................................................................................................................154
AppendixgB ........................................................................................................................................ 159
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SeSiesim
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,Problemg1-4
Thegsizegandgcross-sectionalgareasgaregobtainedgfromgPartg1gofgthegAISCMgasgfollows:
Size Self-weightg(lb/ft.) Cross-sectionalgareag(in2)
W14x22 22 6.49
W21x44 44 13.0
HSSg6x6x½ 35.11 9.74
L6x4x½ 16.2 4.75
C12x30 30 8.81
WT18x128 128 37.7
Problemg1-5
a)
Element A y Ay I dg=gy-gy Ig+gAd2
topgflange 21 26.25 551.25 3.94 -12.75 3418
web 21 13.5 283.5 1008 0 1008
botgflange 21 0.75 15.75 3.94 12.75 3418
g= 63gin.2 850.5 Ig=g7844gin.4
Ayg 850.5g
ygg g =g13.5gin.
A 63
Selfgweightg=g(63/144)(490glb/ft3)g=g214glb/ft.
b)
Element A y Ay I dg=gy-gy Ig+gAd2
topgplate 2.63 18.26 47.93 0.03 -9.04 214.3
beam 10.3 9.23 95.02 510 0 510
botgplate 2.63 0.188 0.49 0.03 9.04 214.3
g= 15.55gin.2 143.4 Ig=g939gin.4
Ayg 143.4g
ygg
g
g =g9.23g in.
A 15.55
Selfgweightg=g(15.55/144)(490glb/ft3)g=g52.9glb/ft.
c)gFromgAISCMgTableg1-20,g Ixg=g314gin.4
Areag=g13.8gin2
Selfgweightg=g47.1glb/ft.
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SeSiesim
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, Problemg1-7
Plotgthegidealizedgstress-straingdiagramgforgag6-in.gwidegbyg½-in.gthickgplategandgag6-in.gwidegbyg1-
in.gthickgplategofgASTMgA36gsteel.gAssumegthatgthegoriginalglengthgbetweengtwogpointsgongthegspecimengov
ergwhichgthegelongationgwillgbegmeasuredg(i.e.gtheggageglength)gisg2-in.
Solution:
Gageglength,gLog=g2gin.
Forg6gxg½-
in.gplate,g Areag=g(6gin.)(½gin.)g=g3gin2gEg=g29,000g
ksi
P Stressg=gP/A Strain,gg=gP/EA Elongation,gLog=gStraingxggageglengthg=gLo
(kips) (ksi) (in.)
0 0 0 0
20 6.67 0.00023 0.00046
40 13.33 0.00046 0.00092
60 20.0 0.00069 0.00138
80 26.67 0.00092 0.00184
100 33.33 0.00111 0.00222
108 36.0 0.00124 0.00248
Forg6gxg1-in.gplate,g Areag=g(6gin.)(1gin.)g=g6gin2
P Stressg=gP/A Strain,gg=gP/EA Elongation,gLog=gStraingxggageglengthg=gLo
(kips) (ksi) (in.)
0 0 0 0
40 6.67 0.00023 0.00046
80 13.33 0.00046 0.00092
120 20.0 0.00069 0.00138
160 26.67 0.00092 0.00184
200 33.33 0.00111 0.00222
216 36.0 0.00124 0.00248
Problemg1-8
Determinegthegmostgeconomicalglayoutgofgthegroofgframingg(joistsgandggirders)gandgtheggageg(thick
ness)gofgthegroofgdeckgforgagbuildinggwithgag25gftgxg35gftgtypicalgbaygsize.gThegtotalgroofgdeadgloadgisg
25gpsfgandgthegsnowgloadgisg35gpsf.gAssumeg ag1½”gdeepggalvanizedgwidegribgdeckgandgangestimated
gweightgofgroofgframinggofg6gpsf.
*Assumegbeamsg(orgjoists)gspangtheg35’gdirection
* Assumeg3-spangcondition
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SeSiesim
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