Page 40 - eEISBN FINALIZE

Operation table

FR ΣFxi ΣFyj

F1 = 7 kN = - F1cos θ = - F1sin θ
o
o
= -7 kos 77 = -7 sin 77
= -1.5747 i = -6.8206 j

F2 = 18 kN = - F2cos θ = F2sin θ
o
o
= -18 kos 45 = 18 sin 45
= -12.73 i = 12.73 j

F3 = 11 kN = F3kos θ = F3 sin θ
o
o
= 11 kos 18 = 11 sin 18
= 10.46 i = 3.399 j
FR -3.8447 i 9.3084 j

Magnitude FR

= √∑ + ∑
2
2

= √−3.8447 + 9.3084
2
2

= 10.07

Direction θR
∑
= tan −1 [ ]
∑

9.3084
= tan −1 [ ]
3.8447

= 67.6
0

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