It is proposed to make the steps for a child’s slide from molded polycarbonate with the cr...

It is proposed to make the steps for a child’s slide from molded polycarbonate with the cross section shown in Figure. The steps are to be 14.0 in wide and will be simply supported at the ends. What maximum weight can be applied at the center of the step if the stress due to bending must not exceed one-third of the flexural strength of the polycarbonate listed in Appendix?

FIGURE