Calculating Deflections on a Curved Beam

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Discussion Overview

The discussion revolves around calculating deflections on a semi-circular beam under various loading conditions. Participants explore the application of a specific formula for deflection and seek clarification on the problem setup, including loading types and boundary conditions.

Discussion Character

  • Homework-related
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant presents a formula for calculating deflection: 3WR^3π / 2EI, with specific values for E, W, R, and I.
  • The same participant expresses uncertainty about the units of the calculated deflection and notes a significant discrepancy between their result (13868.56) and expected data (1.3870359).
  • Another participant questions the clarity of the problem, asking for details about the loading conditions (point load vs. distributed load) and the support conditions (fixed ends).
  • A later reply confirms that the semi-circular bar is fixed at one end and has a point load at the other end, but does not resolve the initial confusion about the calculations.
  • There is a suggestion to include a figure to better illustrate the problem setup.

Areas of Agreement / Disagreement

Participants express uncertainty about the problem setup and calculations, indicating that there is no consensus on the correct approach or solution at this time.

Contextual Notes

Limitations include unclear definitions of loading conditions and boundary conditions, as well as unresolved issues regarding the units of measurement in the calculations.

Mechaman
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Homework Statement


Working out deflections on a semi circular bar.

Homework Equations


3WR^3π / 2EI

Where E = 200GN/m^2
W = 9.81N
R = 150mm
I = 5.625 * 10^-3 (bar is 25mm * 3mm)

The Attempt at a Solution


(3)(9.81)(0.15)^3π / (2)(200*10^3)(5.625 * 10^-3) = 13868.56

I have data that says it should be more like
1.3870359

I'm not exactly sure of the units either?
 
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Mechaman said:

Homework Statement


Working out deflections on a semi circular bar.

Homework Equations


3WR^3π / 2EI

Where E = 200GN/m^2
W = 9.81N
R = 150mm
I = 5.625 * 10^-3 (bar is 25mm * 3mm)

The Attempt at a Solution


(3)(9.81)(0.15)^3π / (2)(200*10^3)(5.625 * 10^-3) = 13868.56

I have data that says it should be more like
1.3870359

I'm not exactly sure of the units either?

Heck, we're not even sure what the problem is.

Is there a figure or some other description of what you are trying to solve? Is this bar laterally loaded? Is it a point load? Distributed load? Are the ends both fixed?
 
SteamKing said:
Heck, we're not even sure what the problem is.

Is there a figure or some other description of what you are trying to solve? Is this bar laterally loaded? Is it a point load? Distributed load? Are the ends both fixed?

The semi circle bar is fixed at one point and has a point load at the other end.
 
Maybe you can insert a picture?
 

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