Calculating Tension & Mass of AB Beam

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Discussion Overview

The discussion revolves around calculating the tension in an AB beam and its mass, given a force of 200N acting on beam BC. Participants are exploring the application of force balances and trigonometric functions to solve the problem.

Discussion Character

  • Homework-related, Mathematical reasoning, Technical explanation

Main Points Raised

  • One participant states that the tension is calculated to be 226.10 and the mass to be 25.01, but does not provide the derivation.
  • Another participant requests the horizontal and vertical force balances on point B and the moment balance about point C, indicating a need for clarity in the approach.
  • A participant notes that the angle of vector BC is 40 degrees above the horizontal and its magnitude is 200 N, suggesting it is equal and opposite to the vector sum of the weight and the tension force from cable AC.
  • One participant encourages the use of trigonometric functions to sum the x and y components of the system, stating that these should equal zero to simplify the problem.
  • Another participant suggests thinking of the structure as a truss with a single triangle and mentions methods such as the method of moments, method of joints, or free body diagram methods as potential approaches to solve the problem.

Areas of Agreement / Disagreement

Participants appear to be exploring various methods and approaches to the problem, with no consensus reached on the specific calculations or methods to be used.

Contextual Notes

There are missing assumptions regarding the definitions of forces and angles, and the discussion does not resolve the mathematical steps needed to arrive at the tension and mass values.

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1. Homework Statement

I have to calculate the tension of AB beam and the mass.
The force of beam BC is 200N

2. Homework Equations

My work

5150926.jpg

The Attempt at a Solution


T=226.10
M=25.01
 
Last edited by a moderator:
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Please write out your horizontal and vertical force balances on point B and your moment balance about point C.
 
Chestermiller said:
Please write out your horizontal and vertical force balances on point B and your moment balance about point C.

Sorry but I'm not understand you
 
Looks like angle of vector BC is 40 degrees above horizontal, its magnitude is 200 N (pointing toward upper right), and it is equal and oposite to the vector sum of the weight and the tension force supplied by cable AC.
 
You're on a good way because you just simplified the problem in 2-D; then sum the x-components of the system and the y-components of the system by using trigonometry function and these two equations need to be equal to zero. Then that will become more simplier, and then you can find the answer.
 
Think about it as a truss with a single triangle. Now you can use the method of moments, the method of joints, or a free body diagram method. All are available on the web and aren't difficult.
 

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