5.1 Homework Problem 6.49 4 of 4 Consider the truss shown in Suppose that F·10 k

Question

5.1 Homework Problem 6.49 4 of 4 Consider the truss shown in Suppose that F·10 kN 5EN Part A Determine the force in member HTI of the truss, and state if the member is in tension or compression Express your answer to three significant figures and include the appropriate units. Enter negative value in the case of compression and positive value in the case of tension FValue Units Submit Part B Determine the force ih member Flofthe huss, and state membersintension or congresscn Express your answer to three significant figures and include the appropriate units. Enter negative value in the case of compression and positive value in the case of tension. rValue Units Part C Determine the force in member EF of the truss, and state if the member is in tension or compression Express your answer to three significant figures and include the appropriate units. Enter negative value in the case of compression and positive value in the case of tension. Par Value Units

Explanation / Answer

6.49

for the given truss

F = 10,000 N

let reaction force at A = Ax, Ay

reaction force at G = Gy

from force balance

Ax = 0

and

6,000 + 5,000 + 4,000 + F = Ay + Gy

Ay + Gy = 25,000 N

form moment balance

Gy*12 = 6000*10 + 10,000*8 + 5000*4 + 4000*2

Gy = 14,000 N

Ay = 11,000 N

consider a section passing through HI, IF, EF

force in the three be F1, F2, F3 respectively

then from force balance

F1*4/sqrt(16 + 9) + F2*2/sqrt(4 + 9) + F3 = 0

F1*3/sqrt(16 + 9) + F2*3/sqrt(4 + 9) + Gy = 6,000

from torque balance about G

6,000*2 = F2*3*2/sqrt(4 + 9)

hence

F2 = 7211.1025 N

F1 = -23333.3333333 N

hence HI is in state of compression

b. FI, F2 = 7211.1025 N

c. FE, F3 = 14666.66669 N

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