Engineering Equilibrium equations of elastic body

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The discussion focuses on the equilibrium equations for a structure consisting of an elastic deformable body attached to a rigid body. A force applied at an angle to the rigid body causes deformation in the elastic body, and participants explore the correct formulation of equilibrium conditions and stress calculations. The conversation emphasizes the complexity of solving such problems, particularly when transitioning from 1D to 2D scenarios, and the utility of numerical methods like FEM for analysis. Participants express concerns about their understanding of the fundamental concepts, highlighting the importance of mastering basic equations before tackling more complex numerical solutions. Overall, the thread underscores the challenges of continuous mechanics and the need for a solid grasp of equilibrium principles in engineering contexts.
  • #31
Mechanics_student said:
Do I also perform inner product of stress with the normal vector of the surface when I integrate the stress over the area?
Of course
 
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  • #32
Chestermiller said:
Of course

If I name the area as ##\Gamma_c## then it could be written this way ?

1725809005661.png
 
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