- #61
andrewh21
- 35
- 0
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
SUMMARY
The discussion focuses on calculating beam stress and curvature for a rectangular hollow beam subjected to a uniformly distributed load of 2 tonnes/m and a point load of 200N at its center. Key equations include the bending stress formula (σ = M/I * y) and the calculation of the bending moment, which is essential for determining maximum stress and radius of curvature. Participants emphasize the importance of calculating support reactions and constructing shear force diagrams to accurately assess the bending moment. The maximum allowable stress for the material is noted as 100MPa, which is critical for evaluating the factor of safety.
PREREQUISITES- Understanding of beam mechanics and bending stress calculations
- Familiarity with shear force and bending moment diagrams
- Knowledge of static equilibrium principles
- Ability to perform unit conversions (e.g., tonnes to Newtons)
- Study the derivation and application of the bending stress formula (σ = M/I * y)
- Learn how to construct shear force and bending moment diagrams for various loading conditions
- Research the concept of the radius of curvature in beam theory
- Explore the factor of safety calculations in structural engineering
Engineering students, structural engineers, and anyone involved in mechanical design or analysis of beam structures will benefit from this discussion.
- #62
SteamKing
Staff Emeritus
Science Advisor
Homework Helper
- 12,828
- 1,673
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
Staff Emeritus
Science Advisor
Homework Helper
- 12,828
- 1,673
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.
Similar threads
- · Replies 3 ·
- · Replies 11 ·
- · Replies 3 ·
- · Replies 17 ·
- · Replies 22 ·
- · Replies 2 ·
- · Replies 1 ·