REVIEW

Problem $1$:

For the loading shown and knowing that distance $a$ is $2$ m $,$ determine if a beam with modulus of elasticity $E=200$GPa, yield stress $y=250$MPa, and area moment of inertia $Ix=300{10}^{6}m{m}^4$ can be approved for a design with the following limitations:

Maximum deflection at midpoint cannot exceed $5$ mm

Maximum bending stress cannot exceed $\frac{y}{1\mathrm{.}5}$ The distributed load $w=50k\frac{N}{m}.$