For the truss loaded as shown, determine the equation for the line of action of the stand-alone resultant R and state the coordinates of the points on the x- and y-axes through which the line of action passes. All triangles are 3-4-5. Assume F₁ = 20 kN, F₂ = 40 kN, F3 = 40 kN, F4 = 50 kN, and M = 120 kN-m. 6 m H C F₁ Answers: 8 m F₂ Equation of line: y = x-axis: x = i -1.04 y-axis: y = i 1.37 B ·x M D 1.32 F₁ F₂ E E X+ 1.37 E

International Edition---engineering Mechanics: Statics, 4th Edition
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Chapter2: Basic Operations With Force Systems
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For the truss loaded as shown, determine the equation for the line of action of the stand-alone resultant R and state the coordinates of
the points on the x- and y-axes through which the line of action passes. All triangles are 3-4-5.
Assume F₁ = 20 kN, F₂ = 40 kN, F3 = 40 kN, F4 = 50 kN, and M = 120 kN-m.
6 m
H
C
F₁
Answers:
8 m
F₂
Equation of line: y =
x-axis: x = i -1.04
y-axis: y = i 1.37
B
·x
M
D
1.32
F₁
F₂
E E
X+
1.37
E
Transcribed Image Text:For the truss loaded as shown, determine the equation for the line of action of the stand-alone resultant R and state the coordinates of the points on the x- and y-axes through which the line of action passes. All triangles are 3-4-5. Assume F₁ = 20 kN, F₂ = 40 kN, F3 = 40 kN, F4 = 50 kN, and M = 120 kN-m. 6 m H C F₁ Answers: 8 m F₂ Equation of line: y = x-axis: x = i -1.04 y-axis: y = i 1.37 B ·x M D 1.32 F₁ F₂ E E X+ 1.37 E
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