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Design a string

The tension at the vertical position and the mass not moving is just the weight of the mass, assuming the string's weight is too small compared to the mass. $$T= mg$$ When the mass is swinging, the ...
kamran's user avatar
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Deriving an analytical solution for a bar under distributed torsion

For a cantilever shaft subjects to uniformly distributed torque, I think the differential equation should be: $\dfrac{d}{dy}[GJ\dfrac{d\theta_y}{dy}] = -m_o$, $m_o$ denotes torsion per unit length (...
r13's user avatar
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Deriving an analytical solution for a bar under distributed torsion

I did not go through your work. We start with the twist $d\phi$ in a small differential length $dy$ and then integrate, removing the $\frac{1}{GJ}$ outside because it's a constant. I use $\tau_y$ for ...
kamran's user avatar
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$𝛕_{xz}$ in the flanges of T and I Sections

The physical reason is that any deformation caused by shear in the web must be matched by shear deformation of the flanges, because they are welded or rolled together. The horizontal component of ...
Sean's user avatar
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Interpretation of the generalized Hooke's law

You missed the lateral contraction. In addition to normal strain in the $x$ direction, there are lateral contractions in the $y$ and $z$ directions. $$\large\epsilon_y=\epsilon_z=-\nu\epsilon_x\tag{1}$...
Pustam Raut's user avatar

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