SOLUTION MANUAL
Applied Statics and Strength of Materials, 7th Edition by
George Limbrunner All Chapters 1-20
, Contents
Chapteri1 1
Chapteri2 12
Chapteri3 20
Chapteri4 49
Chapteri5 71
Chapteri6 115
Chapteri7 158
Chapteri8 177
Chapteri9 202
Chapteri10 221
Chapteri11 232
Chapteri12 267
Chapteri13 285
Chapteri14 330
Chapteri15 361
Chapteri16 398
Chapteri17 428
Chapteri18 474
Chapteri19 502
Chapteri20 513
iii
, Solution Manuali
ƑOR
APPLIED STATICS AND STRENGTH OƑ MATERIALS
i i i i i
SeventhiEdition
GeorgeiƑ.iLimbrunner,iP.E.,i(INACTIVE)iCraigiT.iD’A
llaird,iP.E.
NOTES:
1. Theisolutionsipresentedihereiniare,iinigeneral,isomewhatiabbreviateditoiconserveispace.iVeryil
ittleiexplanationiisiƒurnished.iSketchesiareikeptitoiaiminimum.iƑewichecksiareishown.
2. Theisolutionsiƒollowitheiproceduresidevelopediinitheiexamplesiinitheitext.
3. Theisolutionsiareibasedionitheilimiteditablesiƒurnishediinitheitextiand/oritheiappendices.iTheita
blesiƒurnishediareiƒoritheipurposesioƒithisitextionlyiandishouldinotibeiusediƒoridesign.
4. Theisolutionsiƒoritheidesigniproblemsiareigenerallyinotitheionlyisolutioninoriareitheyinec
essarilyitheimostieconomicalisolutions.
5. Pleaseinoteithatiprobleminumbersiinitheisolutionimanualiareidepictediwithibothidashesi(‐
)iandiperiodsi(.)ibetweenitheichapteriandiprobleminumbers.iTheseiareiinterchangeable.
6. Itishouldibeinotedithatitheipreviousieditionsioƒitheitextiusedilowercaseisitoidenoteistresses.iTh
isihasichangediinithei7thiedition,ibutidueitoitimeiconstraintsithisisolutionimanualihasinotibeenic
ompletelyiupdateditoireƒlectisuch.
7. Iƒiyouiƒindierrorsiinithisimanualioriinitheitext,ipleaseiƒorwardithemitoimeiatic.dall
.
, Prob.i1.1
(a) 𝑐i =i √102i +i72i =i 12.21iƒt
(b)i 𝑏i =i √202i −i162i =i 12.00im
Prob.i1.2
(a) 𝑎i =i 25isini48°i =i 18.58iƒt
(b) 𝑏i =i √252i −i18.582i =i 16.73iƒt
(c) ℎi =i bisini48°i =i 16.73i sini48°i =i 12.43iƒt
Prob.i1.3
𝑎i =i √722i −i67.32i =i 25.59iƒt
Ai=icos–1(67.3/72)i=i20.8
Bi=isin–1(67.3/72)i=i69.2°
Prob.i1.4
ABi=i28isini70°i=i26.3iƒt
Prob.i1.5
𝑐i =i √102i +i62i =i 11.6iƒt
𝜃i =i tan−1(6⁄10)i =i 31.0°
Prob.i1.6
𝐴𝐵i=i√122i+i162i =i20iƒt
𝐵𝐶i =i √122i +i322i =i 34.2iƒt
𝐴i =i tan−1(12⁄16)i =i 36.9°
𝐶i =i tan−1(12⁄32)i =i 20.6°
Prob.i1.7
θi =i sin−1(5⁄6)i =i 56.4°
𝑥i =i √122i +i102i =i 6.63iƒt
Applied Statics and Strength of Materials, 7th Edition by
George Limbrunner All Chapters 1-20
, Contents
Chapteri1 1
Chapteri2 12
Chapteri3 20
Chapteri4 49
Chapteri5 71
Chapteri6 115
Chapteri7 158
Chapteri8 177
Chapteri9 202
Chapteri10 221
Chapteri11 232
Chapteri12 267
Chapteri13 285
Chapteri14 330
Chapteri15 361
Chapteri16 398
Chapteri17 428
Chapteri18 474
Chapteri19 502
Chapteri20 513
iii
, Solution Manuali
ƑOR
APPLIED STATICS AND STRENGTH OƑ MATERIALS
i i i i i
SeventhiEdition
GeorgeiƑ.iLimbrunner,iP.E.,i(INACTIVE)iCraigiT.iD’A
llaird,iP.E.
NOTES:
1. Theisolutionsipresentedihereiniare,iinigeneral,isomewhatiabbreviateditoiconserveispace.iVeryil
ittleiexplanationiisiƒurnished.iSketchesiareikeptitoiaiminimum.iƑewichecksiareishown.
2. Theisolutionsiƒollowitheiproceduresidevelopediinitheiexamplesiinitheitext.
3. Theisolutionsiareibasedionitheilimiteditablesiƒurnishediinitheitextiand/oritheiappendices.iTheita
blesiƒurnishediareiƒoritheipurposesioƒithisitextionlyiandishouldinotibeiusediƒoridesign.
4. Theisolutionsiƒoritheidesigniproblemsiareigenerallyinotitheionlyisolutioninoriareitheyinec
essarilyitheimostieconomicalisolutions.
5. Pleaseinoteithatiprobleminumbersiinitheisolutionimanualiareidepictediwithibothidashesi(‐
)iandiperiodsi(.)ibetweenitheichapteriandiprobleminumbers.iTheseiareiinterchangeable.
6. Itishouldibeinotedithatitheipreviousieditionsioƒitheitextiusedilowercaseisitoidenoteistresses.iTh
isihasichangediinithei7thiedition,ibutidueitoitimeiconstraintsithisisolutionimanualihasinotibeenic
ompletelyiupdateditoireƒlectisuch.
7. Iƒiyouiƒindierrorsiinithisimanualioriinitheitext,ipleaseiƒorwardithemitoimeiatic.dall
.
, Prob.i1.1
(a) 𝑐i =i √102i +i72i =i 12.21iƒt
(b)i 𝑏i =i √202i −i162i =i 12.00im
Prob.i1.2
(a) 𝑎i =i 25isini48°i =i 18.58iƒt
(b) 𝑏i =i √252i −i18.582i =i 16.73iƒt
(c) ℎi =i bisini48°i =i 16.73i sini48°i =i 12.43iƒt
Prob.i1.3
𝑎i =i √722i −i67.32i =i 25.59iƒt
Ai=icos–1(67.3/72)i=i20.8
Bi=isin–1(67.3/72)i=i69.2°
Prob.i1.4
ABi=i28isini70°i=i26.3iƒt
Prob.i1.5
𝑐i =i √102i +i62i =i 11.6iƒt
𝜃i =i tan−1(6⁄10)i =i 31.0°
Prob.i1.6
𝐴𝐵i=i√122i+i162i =i20iƒt
𝐵𝐶i =i √122i +i322i =i 34.2iƒt
𝐴i =i tan−1(12⁄16)i =i 36.9°
𝐶i =i tan−1(12⁄32)i =i 20.6°
Prob.i1.7
θi =i sin−1(5⁄6)i =i 56.4°
𝑥i =i √122i +i102i =i 6.63iƒt
