# chapter 13

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chapter 13
3–1.
The members of a truss are pin connected at joint O.
Determine the magnitudes of F1 and F2 for equilibrium.
Set u = 60°.

y
5 kN
F2
70Њ
30Њ
x

SOLUTION
+

O

F2 sin 70° + F1 cos 60° - 5 cos 30° -

4
(7) = 0
5

5

3

4

0.9397F2 + 0.5F1 = 9.930
7 kN

u

3
F2 cos 70° + 5 sin 30° - F1 sin 60° - (7) = 0
5

F1

Solving:

T an his th d wo sa eir is p rk w le co ro is ill o u vi pr de f a rse de ot st ny s d s ec ro p an o te y ar d le d th t o a ly by e s in f th se for Un te is ss th ite gr w in e ity o g us d S of rk ( stu e o tat th inc de f i es e lu nt ns co w d le tr p or in a uc y k g rn to rig an on in rs h d th g. in t la is e D t w no W iss ea s t p or em ch in er ld m W ina g itt id tio ed e n
. We or
b)

0.3420F2 - 0.8660F1 = 1.7

F2 = 9.60 kN

Ans.

F1 = 1.83 kN

Ans.

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3–2.
The members of a truss are pin connected at joint O.
Determine the magnitude of F1 and its angle u for equilibrium. Set F2 = 6 kN.

y
5 kN
F2
70Њ
30Њ
x

SOLUTION
+

O

6 sin 70° + F1 cos u - 5 cos 30° -

4
(7) = 0
5

5

F1 cos u = 4.2920

6 cos 70° + 5 sin 30° - F1 sin u -

u

3

4

3
(7) = 0
5

7 kN

F1

F1 sin u = 0.3521
Solving:
Ans.

F1 = 4.31 kN

Ans.

T an his th d wo sa eir is p rk w le co ro is ill o u vi pr de f a rse de ot st ny s d s ec ro p an o te y ar d le d th t o a ly by

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