What is the Moment of Inertia for a Rectangular Beam under Uniform Force?

AI Thread Summary
The moment of inertia for a rectangular beam under a uniform force in the negative y-direction is discussed, focusing on its relevance in modeling beam deflection. The cross-sectional dimensions are defined as height (h) and width (b). The correct formula for the moment of inertia is confirmed to be bh^3/12, which pertains to bending stress. This value is essential for solving the differential equation E I (d4/dz4)u = w for beam deflection. Understanding this concept is crucial for accurate structural analysis and design.
Savage32
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Rectangular Beam-

Cross section
h - dimension in y direction
b - dimension in x direction

If with a uniform force acting on the beam in the negative y-dir, what is the relevant moment of inertia when modeling the deflection u(z): E I (d4/dz4)u =w?

I believe it is bh^3/12, but I am not positive

Thanks in advance for any help.
 
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Yes, you are correct. You are listing the Second Moment of Inertia (Area), which deals with bending stress.
 

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