Before the uniform distributed load is applied to the beam, there is a small gap of \(0.2 \mathrm{~mm}\) between the beam and the post at \(B\). Determine the support reactions at \(A, B\), and \(C\). The post at \(B\) has a diameter of \(40 \mathrm{~mm}\), and the moment of inertia of the beam is \(I=875\left(10^{6}\right) \mathrm{mm}^{4}\). The post and the beam are made of material having a modulus of elasticity of \(E=200 \mathrm{GPa}\).

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A 1 m -6 m. 30 kN/m B 10.2 mm 6 m