Structural and Stress Analysi
n n n
s
Second Edition
n
by
Dr. T.H.G. Megson
n n
,
,S o l u t i o n s n to n C h a p t e r n 2n P r o b l e m s n
S.2.1
(a) Vectorsnrepresentingnthen10nandn15nkNnforcesnarendrawnntonansuitablenscalenasnsho
wnninnFig.nS.2.1.nParallelnvectorsnACnandnBCnarenthenndrawnntonintersectnatnC.nT
henresultantnisnthenvectornOCnwhichnisn21.8nkNnatnannanglenofn23.4◦ntonthen15nkNn
force.
B C
10nkN
R
60
u
O 15nkN A FIGUREN S.2.1
(b) Fromn Eq.n (2.1)n andn Fig.n S.2.1
R2n=n152n+n102n+n2n×n15n×n10ncosn60◦
whichngives
Rn=n21.8nkN
Also,n fromn Eq.n (2.2
) tannθ
= 10nsinn60◦n
15n+n10ncosn60
◦
sonthat
θn =n23.4◦.
, 3
n n n
s
Second Edition
n
by
Dr. T.H.G. Megson
n n
,
,S o l u t i o n s n to n C h a p t e r n 2n P r o b l e m s n
S.2.1
(a) Vectorsnrepresentingnthen10nandn15nkNnforcesnarendrawnntonansuitablenscalenasnsho
wnninnFig.nS.2.1.nParallelnvectorsnACnandnBCnarenthenndrawnntonintersectnatnC.nT
henresultantnisnthenvectornOCnwhichnisn21.8nkNnatnannanglenofn23.4◦ntonthen15nkNn
force.
B C
10nkN
R
60
u
O 15nkN A FIGUREN S.2.1
(b) Fromn Eq.n (2.1)n andn Fig.n S.2.1
R2n=n152n+n102n+n2n×n15n×n10ncosn60◦
whichngives
Rn=n21.8nkN
Also,n fromn Eq.n (2.2
) tannθ
= 10nsinn60◦n
15n+n10ncosn60
◦
sonthat
θn =n23.4◦.
, 3
