- #61
andrewh21
- 35
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is the shear force in the centre of the beam calculated by calculating the area of the triangle so 29,530N*1.5m/2= 22,147N
What Equations Are Needed for Calculating Beam Stress and Curvature?
Click For Summary
Discussion Overview
The discussion revolves around the calculations needed for beam stress and curvature in a structural engineering context, specifically for a homework problem involving a rectangular hollow beam subjected to a uniformly distributed load and a point load. Participants seek relevant equations and methods to determine maximum stress, radius of curvature, and factor of safety.
Discussion Character
- Homework-related
- Technical explanation
- Debate/contested
Main Points Raised
- One participant requests equations for calculating maximum stress, radius of curvature, and factor of safety for a hollow beam under specific loading conditions.
- Another participant questions the lack of interior dimensions for the hollow beam, suggesting that clarification from the instructor is necessary.
- Some participants propose treating the beam as solid due to missing internal dimensions and discuss calculating the second moment of area and bending moment.
- There are inquiries about calculating the bending moment at the center of the beam and the support reactions.
- Participants express confusion regarding the combination of uniformly distributed loads and point loads, with requests for guidance on how to approach the problem.
- Several calculations are shared regarding reaction forces and bending moments, but some participants express uncertainty about the correctness of their calculations.
- Discussions include the need for clarity on units and the proper approach to static equilibrium in the context of the problem.
Areas of Agreement / Disagreement
Participants generally agree that the problem requires calculations of reaction forces and bending moments, but there is no consensus on the correctness of specific calculations or methods proposed. Multiple competing views on how to approach the problem remain unresolved.
Contextual Notes
Some participants note limitations in the provided information, such as missing interior dimensions of the hollow beam and confusion over the combination of loads. There are also unresolved questions regarding the correctness of calculations and the interpretation of units.
- #62
SteamKing
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No. That's how the bending moment would be calculated from considering just the UDL by itself.andrewh21 said:
Doesn't any of this ring a bell from taking notes? Haven't you done any research online about beam bending?
- #63
andrewh21
- 35
- 0
so would that be considered the pure bending moment if it included the point load?
and including the point load would it be 22,347N?
the reason i ask this is i have found some notes that will help me a whole bunch if i correctly find the pure bending moment.
My next question is there is no indication of E so i will just consider that it is mild steel with a 210 gpa
i have done a lot of research and spent a heck of a long time trying to crack this and i am grateful for your time and help along the way if this is the pure bending moment i will go away and answer the whole of the question and come back to you (if that is ok) to review and give me your feed back
Many thanks Andrew
and including the point load would it be 22,347N?
the reason i ask this is i have found some notes that will help me a whole bunch if i correctly find the pure bending moment.
My next question is there is no indication of E so i will just consider that it is mild steel with a 210 gpa
i have done a lot of research and spent a heck of a long time trying to crack this and i am grateful for your time and help along the way if this is the pure bending moment i will go away and answer the whole of the question and come back to you (if that is ok) to review and give me your feed back
Many thanks Andrew
Last edited:
- #64
np86
- 2
- 0
Hello all,
I'm struggling with a beam problem and hoping someone can help. I have a beam with a point load in the centre (Beam A), one end of the beam is treated as simply supported and the other is attached to a metal plate (Beam B) which is fixed at both end (welded). I am trying to find the max deflection and max stresses in each beam but am unsure of how to approach such a problem. Any guidance would be greatly appreciated. I have looked in Rourke and searched the internet but can't find a relevant example or formula. I presume it will require a combination of beam formulas but do not know where to start!
I am thinking the the load on Beam A will create a moment in Beam B (Ma). Then this moment could be could be split into two forces, one positive and one negative, then use fixed beam formulas and method of superposition to combine the 2 deflections due to the 2 resulting forces on Beam B?
I'm struggling with a beam problem and hoping someone can help. I have a beam with a point load in the centre (Beam A), one end of the beam is treated as simply supported and the other is attached to a metal plate (Beam B) which is fixed at both end (welded). I am trying to find the max deflection and max stresses in each beam but am unsure of how to approach such a problem. Any guidance would be greatly appreciated. I have looked in Rourke and searched the internet but can't find a relevant example or formula. I presume it will require a combination of beam formulas but do not know where to start!
I am thinking the the load on Beam A will create a moment in Beam B (Ma). Then this moment could be could be split into two forces, one positive and one negative, then use fixed beam formulas and method of superposition to combine the 2 deflections due to the 2 resulting forces on Beam B?
- #65
SteamKing
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np86:
Please don't hijack other member's HW threads.
If you have a HW problem to post, please follow the Rules and post it using the HW Template.
What you have here is a frame of some sort and must be analyzed as such. There is no simple formula for it, nor do I expect will you find one in a handbook like Roark's. Most engineers will use software to model such a frame to find the deflections, if it were a simple frame. According to your description, beam B is a plate of some sort, which usually cannot be modeled as a simple beam. More information, including a better sketch of the components of this structure, would be required to analyze it.
Please don't hijack other member's HW threads.
If you have a HW problem to post, please follow the Rules and post it using the HW Template.
What you have here is a frame of some sort and must be analyzed as such. There is no simple formula for it, nor do I expect will you find one in a handbook like Roark's. Most engineers will use software to model such a frame to find the deflections, if it were a simple frame. According to your description, beam B is a plate of some sort, which usually cannot be modeled as a simple beam. More information, including a better sketch of the components of this structure, would be required to analyze it.
- #66
np86
- 2
- 0
didn't mean to "hijack",
just registered today so I was unaware of the rules sorry.
just registered today so I was unaware of the rules sorry.
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