Determine the smallest force F that must be applied along the rope in order to cause the curved rod to fail at the support A. This requires a moment of M=1700 N-m to be developed at A.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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I have been working on this problem for far too long and I think I am just messing up on how tedious it is but my strategy right now is to find the unit vector for force and then solve it as a normal moment equation but when I get the vector form of the moment with variable F then I find the magnitude which is equaivalent to the given moment and remove F from the magnitude equation and solve for the missing force.

The rod has a radius of 4 m. (Figure 1)
Figure
X
6 m
B
N
45°
4 m
F
C
4 m
6 m
1 of 1 >
Part A
Determine the smallest force F that must be applied along the rope in order to cause the curved rod to fail at the
support A. This requires a moment of M=1700 Nm to be developed at A.
Express your answer to three significant figures and include the appropriate units.
LO
F = 626
μA
N
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Transcribed Image Text:The rod has a radius of 4 m. (Figure 1) Figure X 6 m B N 45° 4 m F C 4 m 6 m 1 of 1 > Part A Determine the smallest force F that must be applied along the rope in order to cause the curved rod to fail at the support A. This requires a moment of M=1700 Nm to be developed at A. Express your answer to three significant figures and include the appropriate units. LO F = 626 μA N Provide Feedback wwwww Submit Previous Answers Request Answer ? X Incorrect; Try Again; 6 attempts remaining Review Next >
Expert Solution
Introduction

Objective: To determine the required minimum value of force F.

 

Given:

Moment at A required to cause failure at A (M) = 1700 N.m

 

The force F should be enough such that its moment about point A is more than or equal to the required moment for failure i.e., M.

 

From the figure, we have:

Coordinates of point A : (0, 0, 4)

Coordinates of point B : (4sin45°, 0, 4cos45°)=(22, 0, 22)

Coordinates of point C : (6, 6, 0)

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