(Solved): A circular beam is loaded and supported as shown below. The material used to make the beam has a ma ...

A circular beam is loaded and supported as shown below. The material used to make the beam has a maximum allowable bending stress of \\( \\sigma_{\\text {allow }}=125 \\mathrm{MPa} \\). Recall that the second moment of area for a circle is \\( \\frac{\\pi}{4}\\left(\\frac{d}{2}\\right)^{4} \\). Use the following values in your working out: \\[ \\begin{array}{l} L=24 \\mathrm{~m} \\\\ d=18 \\mathrm{~cm} \\end{array} \\] a) Draw the FBD, SFD and BMD for the beam. (1.5 marks) b) Write an expression for the internal bending moment as a function of length. Clearly show what convention you're using for positive length. (1 mark) c) Determine the maximum allowable intensity of \\( w \\). (2 marks)