Deflection and slope of a beam, homework question

Click For Summary

Discussion Overview

The discussion revolves around a homework problem related to calculating the deflection and slope of a beam at a specific point, referred to as point 'D'. Participants are exploring methods to solve the problem without the use of a calculator, focusing on the application of various techniques in structural analysis.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Technical explanation

Main Points Raised

  • One participant expresses difficulty in solving the problem in a simple form and requests assistance.
  • The problem requires finding the deflection and slope at point 'D', with the moment of inertia (EI) stated in calculations.
  • Participants mention having attempted the singularity method and moment-area method but have not succeeded in obtaining an answer.
  • Another participant suggests that finding the reactions at the supports is a necessary first step, confirming the reactions as R.b=160KN and R.e=20KN.
  • There is a concern that the calculations using the moment-area method are too complicated for a non-calculator approach.
  • Participants discuss the utility of constructing shear force and bending moment diagrams despite the complexity of the numbers involved.

Areas of Agreement / Disagreement

Participants generally agree on the need to find the reactions at the supports and the usefulness of shear force and bending moment diagrams. However, there is disagreement regarding the appropriateness of the moment-area method for this problem, with some expressing that it may be too complex for the given constraints.

Contextual Notes

Participants have not reached a consensus on the best method to solve the problem, and there are unresolved issues regarding the complexity of calculations without a calculator.

manutd@13
Messages
8
Reaction score
0
I don't get how to solve this problem in the simplest form...
I would appreciate your help
thanks!

I have had some attempts at the question but the question is supposed to be non-calculator-use, so the method should rather be simple, and I couldn't come up with any sort of neat way to solve the problem
1. Homework Statement

the question is to get the deflection and slope at the point 'D', for the EI you can just state them in the calculation as EI

for the reactions R.b=160KN, R.e=20KN upwards were found after the calculation of momentum equilibrium equation.

Homework Equations



no specific equation for the deflection, you can use whatever the method you want to use

The Attempt at a Solution



I've had attempt at the question using the singularity method and moment-area method,
but failed to get the answer.
question.jpg
 
Last edited:
Physics news on Phys.org
manutd@13 said:
I don't get how to solve this problem in the simplest form...
I would appreciate your help
thanks!

I have had some attempts at the question but the question is supposed to be non-calculator-use, so the method should rather be simple, and I couldn't come up with any sort of neat way to solve the problem
1. Homework Statement

the question is to get the deflection and slope at the point 'D', for the EI you can just state them in the calculation as EI

Homework Equations



no specific equation for the deflection, you can use whatever the method you want to use

The Attempt at a Solution



I've had attempt at the question using the singularity method and moment-area method,
but failed to get the answer.View attachment 94018
I'm not sure about solving this problem without a calculator, but first, you'll need to find the reactions at the supports. Have you done this already?
 
SteamKing said:
I'm not sure about solving this problem without a calculator, but first, you'll need to find the reactions at the supports. Have you done this already?

ah yes! R.b=160KN, R.e=20KN it is, sorry forgot to include that in the post, i will do so right now
 
manutd@13 said:
ah yes! R.b=160KN, R.e=20KN it is, sorry forgot to include that in the post, i will do so right now
Once you know the reactions on this beam, you should be able to draw the shear force and bending moment diagrams.
 
SteamKing said:
Once you know the reactions on this beam, you should be able to draw the shear force and bending moment diagrams.

yes but i found out that the numbers are to complicated using the moment-area method, so i thought it was inappropriate as the question is non-calculator-use
 
manutd@13 said:
yes but i found out that the numbers are to complicated using the moment-area method, so i thought it was inappropriate as the question is non-calculation-use
Still, constructing the shear force and bending moment diagrams are useful. Humor me.
 

Similar threads

  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 5 ·
Replies
5
Views
4K
  • · Replies 8 ·
Replies
8
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 18 ·
Replies
18
Views
4K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 7 ·
Replies
7
Views
3K