Modulus of Elasticity with shear Corrected

Join the discussion
Registration is free. Ask a follow-up in this thread, or start your own.
2 replies · 2K views
Pahoo
Messages
7
Reaction score
0
I appreciate your help with this problem from a Three point Bending Test in Wood samples

Homework Statement



Force: 2400 N
Deflection: 4.3 mm
Span: 343 mm
Length: 392 mm
b: 24.01 mm
d: 24.25
MOE: 16445.15 MPa

How can I calculate the Modulus of Elasticity with shear corrected?


Homework Equations



I have this equation
First I got the MOE=(Force*Span^3)/4*Deflection*b*d^3)
then I should be able to calculate E but I don´t know how to get E/G
E=MOE*(1+(6/5)*(d/Span)^2*E/G)


The Attempt at a Solution


The result must be 18417.95 KPa
 
Physics news on Phys.org
I assume you must estimate the E/G ratio for the particular species of wood. If your math is correct and the solution is correct (why so many significant figures??), looks like G = .05E, but I can't help much more . Might suggest search on G and E values for different species .
 
I agree Jay's point. If deflection is 4.3 mm, then how many significant figures are reasonable for the solution? When you have worked out the answer to your question, try putting in 4.2 mm and 4.4 mm (which the deflection is NOT) and then conclude the so called accuracy of your answer...