- #1
Bending moment diagram for overhanging beam
- Thread starter David Lewis
- Start date
AI Thread Summary
To construct a bending moment diagram for an overhanging beam, start by drawing the free-body diagram and identifying all forces acting on the beam. If the upward forces are equal, treat them as a uniformly distributed load (UDL); if they vary, consider them as a varying distributed load (UVL). For a semi-elliptical load distribution, approximating the load as point loads can simplify calculations. The bending moment can be calculated using the formula F1 * d + F2 * 2d, where F represents the forces and d the distances from the point of interest. Understanding these concepts is crucial for accurately analyzing the bending moments in structural engineering applications.
- #2
lingesh
- 28
- 2
If those upward force components F1...Fn are equal in magnitude,then you can simplify it as UDL. If they are different and varying gradually you can consider it as UVL and solve the problem.
- #3
David Lewis
- 846
- 258
Thanks for your reply. The spar sees a distributed load -- the load diagram is a semi-ellipse. I approximated the distributed load as point loads. I'd like to know the formula to calculate the bending moment, e.g. F1 * d + F2 * 2d...
- #4
How did you find PF?: Via Google search
Hi,
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I would like to have a formula to give me the RPM necessary for the gyroscope to balance itself on the two legs (screws). I asked Claude to give me a formula and it gave me the following:
Let me calculate the required RPM foreffective stabilization. I'll use the principles of gyroscopicprecession and the moment of inertia.
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Scenario 1 (figure 1)
A continuous loop of elastic material is stretched around two metal bars. The top bar is attached to a load cell that reads force. The lower bar can be moved downwards to stretch the elastic material.
The lower bar is moved downwards until the two bars are 1190mm apart, stretching the elastic material. The bars are 5mm thick, so the total internal loop length is 1200mm (1190mm + 5mm + 5mm).
At this level of stretch, the load cell reads 45N tensile force.
Key numbers...
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