Simply Supported Beam Homework Clarification

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Discussion Overview

The discussion revolves around a homework problem related to the deflection of a simply supported beam. Participants seek clarification on the appropriate formulas to use based on the given dimensions and conditions of the problem.

Discussion Character

  • Homework-related
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant expresses uncertainty about using the center deflection formula for a beam when the problem specifies a distance of "19 inches from one end."
  • Another participant suggests that the correct formula for calculating deflection should be based on the specific dimensions provided in the problem, questioning the use of the maximum deflection formula.
  • A participant seeks clarification on how to apply the formula for deflection at any section, specifically regarding the variables x and b, and their respective values.
  • Further clarification is provided by another participant, indicating that the diagram associated with the formula should guide the selection of values for a and b.
  • One participant reports using a specific formula and arrives at a final answer of 2.289 lbs, but it is unclear if this is correct based on the previous discussions.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the correct approach to the problem, with multiple competing views on which formulas and values to use for the calculations.

Contextual Notes

There are indications of missing assumptions regarding the definitions of variables and the application of formulas, as well as unresolved questions about the correct interpretation of the problem's dimensions.

tsukuba
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Homework Statement


Hello, I did the question but would like for someone to clarify if its right. The question states " 19 inches from one end" but I used the center deflection formula and I am not sure if its right.
It is question 2 of the picture
IMG_20141210_09375_edit_1418222343023.jpg


Homework Equations


equation is in the picture

The Attempt at a Solution


My solution is in the picture
 
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tsukuba said:

Homework Statement


Hello, I did the question but would like for someone to clarify if its right. The question states " 19 inches from one end" but I used the center deflection formula and I am not sure if its right.
It is question 2 of the picture
IMG_20141210_09375_edit_1418222343023.jpg


Homework Equations


equation is in the picture

The Attempt at a Solution


My solution is in the picture

Unless 19 inches is half of 6 feet 4 inches, no, you did not use the correct formula to calculate the deflection of this beam. Why did you think they put that box with a different beam formula right under the title of the problem?
 
I thought so, since I used the maximum deflection one. I am having a little trouble understand the formulas for "deflection at anysection in terms of x"
I think I am supposed to use y = Pbx / 6LEI ( L2-x2-b2 but I am not sure weather x is 19 and b is 57 or
x is 57 and b is 19
How would I know this?
 
tsukuba said:
I thought so, since I used the maximum deflection one. I am having a little trouble understand the formulas for "deflection at anysection in terms of x"
I think I am supposed to use y = Pbx / 6LEI ( L2-x2-b2 but I am not sure weather x is 19 and b is 57 or
x is 57 and b is 19
How would I know this?

Look at the diagram attached to the formula. That should tell you what to use for a and what to use for b. Notice that one distance is longer than the other.
 
okay, so If you look at the picture I used the first formula of the middle column where 0<x<a
I made b = 19 and from the formula to calculate x I got 42.5
My final answer is 2.289 lbs
 

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