Modeling T-Stub as Beam (having difficulty)

AI Thread Summary
The discussion focuses on the challenges of modeling a T-stub joint as a beam to determine the bending stress at the bolt. The user is facing difficulties due to the statically indeterminate nature of the problem, leading to more unknowns than equations despite attempts with superposition and deflection equations. They have updated their analysis by equating deflection at the bolt to the bolt reaction divided by its stiffness. Current calculations yield different results in manual analysis and ANSYS modeling, indicating a potential error. The user seeks assistance in verifying their assumptions and calculations.
tricha122
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Hi all, I am trying to find the slope of a T-stub joint at the bolt in order to find the bending stress of the bolt.

I have drawn 1/2 of the T-stub as a beam. The beam analysis requires (for physicality) that the slope at each side of the beam to be zero. There is an applied load, a bolt load, and a prying load.

This problem is certainly statically indeterminate... I have tried a few methods of circumventing this (superposition, deflection equations) yet still always end up with 1 more unknown than equation.

Can anyone take a look and see if (a) I am making the right assumptions, and (b) how to tackle this problem?

Much appreciated!
 

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I have since updated my analysis by assuming the deflection at the bolt is equivalent to the bolt reaction divided by the bolt stiffness, kb.

I have attached all of my equations.

I am getting Rb = 43 and Rc = 13 , (with applied load of T = 30) in my beam analysis.

Modeling the beam in ANSYS i get RB = -10, RC = 20 ... So there appears to be an error somewhere.

Anyone feel like looking through my scribble to help me out?

Any help would be greatly appreciated!
 

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