Formula of modulus of elasticity?

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To calculate the modulus of elasticity for a pine wood rectangular cantilever beam, the formula PL^3/(3 * change in Y * Inertia) is used. The user provided specific measurements: area inertia of 0.413 cm^4, unsupported beam length of 40 cm, deflection of 0.36 cm, and a load of 1.25 pounds. The calculated modulus of elasticity was 797,775 N/cm², which appeared incorrect compared to standard values. The discussion raised concerns about proper substitution of values and unit consistency in the formula. Ultimately, the thread was locked due to the original poster seeking online assistance for their homework problem.
Matriculator
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Homework Statement


How to calculate the modulus of elasticity algebraically? Especially that of a pine wood rectangular cantilever beam? I have a few measurements here. The area inertia is .413 cm^4, the length of the unsupported part of the beam is at 40 centimeters(the whole beam is around 66 centimeters), the deflection is 0.36 centimeters with a load of 1.25 pounds. I'm trying to find the modulus of elasticity is Newtons per centimeters squares. I got 797,775 but it seems way off in comparison to the original module of elasticity. I'm thinking that it's because I'm using the wrong formula. Can someone please help me. I have been sitting here for hours but nothing.

Homework Equations


PL^3/(3 * change in Y * Inertia).
 
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You used the correct formula, but did you properly substitute into it? Did you use correct units throughout? Was the load at the very end of the beam? Did you measure the deflection directly at the load?
 
Matriculator said:

Homework Statement


How to calculate the modulus of elasticity algebraically? Especially that of a pine wood rectangular cantilever beam? I have a few measurements here. The area inertia is .413 cm^4, the length of the unsupported part of the beam is at 40 centimeters(the whole beam is around 66 centimeters), the deflection is 0.36 centimeters with a load of 1.25 pounds. I'm trying to find the modulus of elasticity is Newtons per centimeters squares. I got 797,775 but it seems way off in comparison to the original module of elasticity. I'm thinking that it's because I'm using the wrong formula. Can someone please help me. I have been sitting here for hours but nothing.

Homework Equations


PL^3/(3 * change in Y * Inertia).

Thread locked. Turns out the OP was not supposed to be asking for online help on this problem.
 

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