Deflection of cantilever beam having two Young's modulas

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The discussion centers on finding the formula for the deflection of a cantilever beam made of two materials with different Young's moduli and moments of inertia, subjected to a point load at the free end. Participants emphasize the importance of clearly defining the beam's construction and geometry, as the presence of two materials significantly affects the calculations. One user successfully derived a formula using governing equations and validated it with MATLAB, confirming its accuracy for beams with two distinct materials. The conversation highlights the need for specificity in describing the beam's configuration to arrive at the correct formula. Ultimately, the exchange aims to assist in completing a project involving this complex beam scenario.
cvnaditya
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what is the formula for the cantilever beam having two different young's modulas and moment of inertia, when a point load is acting on the free end.

i have been trying but unable to get the formula. if the formula i can validate my project work and complete it
 
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cvnaditya said:
what is the formula for the cantilever beam having two different young's modulas and moment of inertia, when a point load is acting on the free end.

i have been trying but unable to get the formula. if the formula i can validate my project work and complete it
I'm afraid this description of the beam and the materials composing it is a little vague.

Are we talking something like a leaf spring, with two different materials lapped together? Is one portion of the length of the beam one material, and the rest of the beam composed of another material?

You should try to be as specific as possible about the construction of your beam. Pictures always help.
 
Each material has only one Young's Modulus value. If there are two involved, then there must be two materials and the geometry of the two becomes significant.
 
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SteamKing said:
I'm afraid this description of the beam and the materials composing it is a little vague.

Are we talking something like a leaf spring, with two different materials lapped together? Is one portion of the length of the beam one material, and the rest of the beam composed of another material?

You should try to be as specific as possible about the construction of your beam. Pictures always help.
Yes, your right one length one material and rest of the length will be another material...

I derived the formula using basic govering equation yesterday and verified it with MATLAB program for cantilever beam. Both the results are correct, it is used for having two different materials and moment of inertia for a cantilever beam.
Capture.PNG
 
OldEngr63 said:
Each material has only one Young's Modulus value. If there are two involved, then there must be two materials and the geometry of the two becomes significant.
yes sir, i have posted formula. i hope it is correct and useful.
 

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