- #1
Bending moment diagram for overhanging beam
- Thread starter David Lewis
- Start date
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Discussion Overview
The discussion revolves around the construction of a bending moment diagram for an airplane wing spar subjected to various forces. Participants explore the implications of different loading conditions, including uniform and varying distributed loads, and seek formulas for calculating bending moments based on these loads.
Discussion Character
- Technical explanation, Mathematical reasoning
Main Points Raised
- One participant describes having drawn a free-body diagram of an airplane wing spar and seeks guidance on the procedure for constructing the bending moment diagram.
- Another participant suggests that if the upward force components are equal, the loading can be simplified to a uniform distributed load (UDL), while differing magnitudes could be treated as a varying distributed load (UVL).
- A participant mentions that the spar experiences a distributed load represented by a semi-ellipse and has approximated this load as point loads, asking for a formula to calculate the bending moment based on these point loads.
- A repeated inquiry emphasizes the need for a formula to calculate the bending moment, indicating a focus on the relationship between the forces and their distances from a reference point.
Areas of Agreement / Disagreement
Participants do not reach a consensus on the specific approach to calculating the bending moment or the applicability of simplifying assumptions regarding the load distribution.
Contextual Notes
There are limitations regarding the assumptions made about the load distribution and the specific conditions under which the formulas apply, which remain unresolved in the discussion.
- #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
- 847
- 259
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
