8a) Given the following freebody diagram with: F1 = 532 kips F2 = 739 kips a = 7
ID: 1536880 • Letter: 8
Question
8a)Given the following freebody diagram with:
F1 = 532 kips
F2 = 739 kips
a = 7 ft; b = 22 ft; and c = 31 ft
Determine the vertical reaction BY, in kips. State your answer to the nearest whole number. Example: 365 A negative value for BY is possible. A negative value means that the direction of BY is opposite to the direction shown on the freebody diagram.
DO NOT INCLUDE UNITS WITH YOUR ANSWER
8b)Given the following freebody diagram with:
F1 = 341 kips
F2 = 686 kips
a = 8 ft; b = 15 ft; and c = 34 ft
Determine the vertical reaction AY, in kips. State your answer to the nearest whole number. Example: 365 A negative value for AY is possible. A negative value means that the direction of AY is opposite to the direction shown on the freebody diagram.
DO NOT INCLUDE UNITS WITH YOUR ANSWER
A complete analysis, i.e., sketch, free-body diagram, equations of static equilibrium and algebra solution, is required.
F1 F2 a Ax By A{ Ar b CExplanation / Answer
8a. Given
F1 = 532 kips
F2 = 739 kips
a = 7ft
b = 22ft
c = 31 ft
As there is no horizontal force in the system except for the Ax
hence from force balance, Ax = 0 kips
NOw using force balance about y axis
F1 + F2 = By + Ay
also
from momenty balance about A
F1*a + F2*c = By*b
532*8 + 739*34 = By* 15
By = 1958.8 kips
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