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jellicorse
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Homework Statement
I am trying to calculate the flexural rigidity across the span of a guitar soundboard.
The soundboard is comprised of a number of struts, the shape of which can be approximated to a triangular section sitting on a rectangular section. This makes for straightforward calculation of the second moment of area.
Diagrams
I can see how to calculate the flexural rigidity of each soundboard-brace section: by finding the overall second moment of area of the section (using parallel axis theorem) and then multiplying this by the Young's Modulus (E). (In this case, a standard value for the material in question - Spruce at 10GPa).
What I can not see how to do is to find the overall flexural rigidity across a span of the soundboard.
I'd be very grateful if anyone could tell me how to approach this.
Homework Equations
Parallel Axis Theorem:
[tex]I_{AB} = I_C + l^2 A[/tex]
[tex]Flexural Rigidity = EI[/tex]
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