Problem 8: Inputs: ● FA = 125 lb FB = 75 lb Fc= 87 lb r = 3 in (radius to all load cells) FA X Fc A 300 Z FB B A circular plate is used in a machine called a compactor to determine the mechanical properties of various materials. In this particular test, three load cells are located at the same radial distance from point O. (Load cells measure force). If the load cells measure the forces shown above, determine the equivalent force system of a single force acting on the plate. Specifically: a) What is the x-coordinate of the point where the resultant force's line of action intersects the x-y plane? You must include sign, positive or negative. 30° b) What is the y-coordinate of the point where the resultant force's line of action intersects the x-y plane? You must include sign, positive or negative.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Problem 8:
Inputs:
●
FA = 125 lb
FB =
75 lb
Fc= 87 lb
r = 3 in (radius to all load cells)
FA
X
FC
A
300
Z
0
FB
B
A circular plate is used in a machine called a compactor to
determine the mechanical properties of various materials. In
this particular test, three load cells are located at the same
radial distance from point O. (Load cells measure force). If the
load cells measure the forces shown above, determine the
equivalent force system of a single force acting on the plate.
Specifically:
a) What is the x-coordinate of the point where the resultant force's line of action intersects the x-y
plane? You must include sign, positive or negative.
30°
b) What is the y-coordinate of the point where the resultant force's line of action intersects the x-y
plane? You must include sign, positive or negative.
y
Transcribed Image Text:Problem 8: Inputs: ● FA = 125 lb FB = 75 lb Fc= 87 lb r = 3 in (radius to all load cells) FA X FC A 300 Z 0 FB B A circular plate is used in a machine called a compactor to determine the mechanical properties of various materials. In this particular test, three load cells are located at the same radial distance from point O. (Load cells measure force). If the load cells measure the forces shown above, determine the equivalent force system of a single force acting on the plate. Specifically: a) What is the x-coordinate of the point where the resultant force's line of action intersects the x-y plane? You must include sign, positive or negative. 30° b) What is the y-coordinate of the point where the resultant force's line of action intersects the x-y plane? You must include sign, positive or negative. y
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