Lesson 12 Homework Method of Joints 5 of 8 Fundamental Problem 6.2 Determine the

Question

Lesson 12 Homework Method of Joints 5 of 8 Fundamental Problem 6.2 Determine the force in each member of the truss. State r Correct are in tension or compression. Take that P -500 lb (Figure 1) Part C Determine the force in the member BC of the truss, and state it the member is in tension or Express your answer to three significant figures and include the appropriate units. Assume positive scalars for members in tension and negative sealars for members in compression. Figure 1 of t lb 3 It Incorrect Try Again: 4 attempts remaining Part D DELL

Explanation / Answer

6.2 C.
let force in member BC be F
force in BA be f

then
let the reaciton forces at the two pins be Tx, Ty and Bx, By
hence
from force balance

F*3/sqrt(9+16) + f = Ty
F*4/sqrt(25) = Tx

Tx + Bx = 0
Ty + By = P

P = 500 lb
form moment balance
P*4 + Tx*3 = 0
Tx = -4P/3 = -666.66666 lb
Bx = 666.666 lb

hence
F = 5*Tx/4 = -833.3333333 N
as the force F is -ve, the member is in compression

6.2 C.
let force in member BC be F
force in BA be f

then
let the reaciton forces at the two pins be Tx, Ty and Bx, By
hence
from force balance

F*3/sqrt(9+16) + f = Ty
F*4/sqrt(25) = Tx

Tx + Bx = 0
Ty + By = P

P = 500 lb
form moment balance
P*4 + Tx*3 = 0
Tx = -4P/3 = -666.66666 lb
Bx = 666.666 lb

hence
F = 5*Tx/4 = -833.3333333 N
as the force F is -ve, the member is in compression

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