(Solved): Consider the torsion of a bar with a general triangular section as shown. Usi ...

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Consider the torsion of a bar with a general triangular section as shown. Using the stress function \( \phi \) given (which is derived by the fundamental property of zero \( \phi \) along the boundary), show that this stress function can only be used when the triangle has equal side lengths. Also calculate the constant \( k \) and the maximum shear stress along the side \( \mathrm{x}=\mathrm{a} \). \[ \phi=k(x-a)\left(y-m_{1} x\right)\left(y+m_{2} x\right) \]