Timoshenko's Solution for Truss Problems

Click For Summary

Discussion Overview

The discussion revolves around a specific problem from Timoshenko's "Strength of Materials" related to truss analysis under a point load. Participants explore the application of the method of joints and the discrepancies in calculated forces.

Discussion Character

  • Homework-related
  • Technical explanation
  • Exploratory

Main Points Raised

  • A participant expresses confusion regarding a truss problem, particularly the second figure in the example, and notes discrepancies in results when using the method of joints.
  • The participant describes their approach, including equilibrium conditions and calculations for forces, but mentions starting with different initial force values than those presented in the text.
  • Another participant suggests showing work and using LaTeX for clarity, indicating a collaborative approach to problem-solving.
  • A later post indicates that the participant found a solution using the triangle law of forces, crediting another user for the suggestion.
  • The participant reflects on the significance of certain numerical values encountered during calculations, noting an interesting connection between the numbers and their mathematical properties.

Areas of Agreement / Disagreement

There is no clear consensus on the initial assumptions or methods used, as participants express different starting points and approaches in their calculations. The discussion includes both confusion and resolution, but multiple views on the problem-solving process remain.

Contextual Notes

The discussion highlights potential missing concepts or assumptions that may affect the application of the method of joints, as well as the dependence on initial force values chosen by participants.

Who May Find This Useful

Students and practitioners interested in truss analysis, particularly those studying Timoshenko's work or facing similar homework problems in structural mechanics.

newbie1127
Messages
13
Reaction score
5
Homework Statement
Hello everyone,
i am new to the forum and this is my first message, please go easy on me if i break any rules/make mistakes

i recently started reading Strength of Material by Timoshenko and in the first chapter encountered a problem in one of the solved examples (attached screenshot)

The problem is of a truss with point load,
i dont understand the second figure(b) particularly how it was calculated, i tried using method of joints, but i am getting different results.
Relevant Equations
xyz
xyz
 

Attachments

  • Screenshot from 2022-04-13 12-20-51.png
    Screenshot from 2022-04-13 12-20-51.png
    27.8 KB · Views: 188
  • Screenshot from 2022-04-13 12-20-51.png
    Screenshot from 2022-04-13 12-20-51.png
    27.8 KB · Views: 214
Physics news on Phys.org
newbie1127 said:
Homework Statement:: Hello everyone,
i am new to the forum and this is my first message, please go easy on me if i break any rules/make mistakes

i recently started reading Strength of Material by Timoshenko and in the first chapter encountered a problem in one of the solved examples (attached screenshot)

The problem is of a truss with point load,
i don't understand the second figure(b) particularly how it was calculated, i tried using method of joints, but i am getting different results.
Relevant Equations:: xyz

xyz
Welcome to PF. :smile:

Can you show your work so far? It's best if you can post the math equations using the "LaTeX Guide" link in the footer. Thanks.
 
berkeman said:
Welcome to PF. :smile:

Can you show your work so far? It's best if you can post the math equations using the "LaTeX Guide" link in the footer. Thanks.
@berkeman thanks for replying,

i don't know where to begin, i skipped the question for now
i only have used method of joints where i did:

assumed equilibrium conditions and hence did,
1) sum of all horizontal forces = 0
2) sum of all vertical forces = 0
3) all moment about a point = 0 and calculated the force values

problem is i start the problem with another value
for example:
i take initial force of 27000 lb to calculate value of AB
whereas, the author starts with 18000 lb and hence, i get different result

my values for AB : 27000 lb - initial force ; and get 54000 lb - as tension force on AB
author's values for AB : 18000 lb - initial force ; and gets 36000 lb - as tension force for AB

i think i am missing some concept that has to be applied before appling the method of joint or some other method. i just don't know what it is
 
I got the answer, thanks to someone named NRG99

solution i found: using the triangle law of forces as suggested by NRP99

Now that i think on it, i was too concerned about why it was that 18000 and 9000 were written separately and if they had any physics significance turns out it was just a mathematical by-product of solving the problem and doesn't represent anything

also, i want to end this by giving credit to the author,
while calculating the solution i came across the number 1053
i wouldn't have thought anything of it if i didn't know the answer 9000√13
i wouldn't have thought 13 was a factor of 1053
i know he is a super smart guy, i just thought it was interesting to mention.
 
  • Like
Likes   Reactions: Lnewqban
Welcome!
I hope you bring more questions to us.
Timoshenko is an excellent book (I and II).
 
  • Like
Likes   Reactions: newbie1127

Similar threads

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