v Part B ry As shown, a truss is loaded by the forces P?:917NandP:363 N and has

Question

v Part B ry As shown, a truss is loaded by the forces P?:917NandP:363 N and has the dimension a.410 Pi B CD al2 al2 Determine Fcc and FcH, the magnitudes of the forces in members CG and GH, respectively, using the method of sections. Assume for your calculations that each member is in tension, and include in your response the sign of each force that you obtain by applying this assumption Express your answers numerically in newtons to three significant figures separated by a View Available Hint(s) Foc Fcm

Explanation / Answer

Horizontal reaction at A=363 N (towards right)

vertical reaction at A can be determined from moment equilibrium about E

917*2*4.1 + 4.1*363-3*4.1*RA =0

RA = 732.33 N(upwards)

RE = 917-732.33=184.67 N(upwards)

angle member CG makes with the horizontal = tan-12=63.43o

Considering vertical equilibrium of section, we get

FCG*sin63.43 - 184.67=0

FCG = 206.46 N (compression)

Considering moment equilibrium of section about C,we get

732.33*1.5*4.1 - 917*4.1*0.5-4.1*FGH=0

FGH = 640 N (compression)

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