(Solved): a) Write the flexure formula and general shear formula. (20) b) A timber beam AE of span 32ft is to ...

a) Write the flexure formula and general shear formula. (20) b) A timber beam AE of span $$32\mathrm{ft}$$ is to support the two concentrated loads and a uniformly distributed load shown. Knowing that for the grade of timber used, allowable bending stress $${?}_{\text{all }}=1400$$ psi and allowable shear stress $${?}_{\text{all }}=120$$ psi. Determine the minimum required depth d of the beam. $$\text{ (Hint: }{?}_{\text{all }}=\frac{M_{\max }}{S},{?}_{\text{all }}=\frac{1.5V_{\max }}{A})$$