EGM$3520$ Handout #$21$

Instructions: Complete the following problem. Working in groups is permitted; however, copying homework is NOT permitted. Homework must be written or typed clearly, include a problem statement $($reiteration or summary of the assigned problem$),$ correctly drawn free$-$body diagram$($s$)$ as necessary, and boxed final answer$($s$).$ All homework problems should be scanned and converted into a single PDF for upload to Canvas.

A cylindrical axle, which has length $8$ m and a cross$-$section with diameter $40$ mm $,$ is cantilevered on one end. $500$ mm rigid blades are evenly spaced near the free end, and each blade experiences a force $P=50$ N at its end in the basis directions indicated by the arrows. Point $A$ is located at the midpoint of the beam on the surface, rotated $=30$ from the $-Z$ axis.

At point A :

a$)$ Determine which of the stresses $({}_{},{}_{yy},{}_{zz},{}_{xy},{}_{yz},{}_{xz})$ are created by each of the following stress sources:

a$.$ Bending

b$.$ Shear force

c$.$ Torsion

b$)$ Determine the value of all stresses $({}_{},{}_{yy},{}_{zz},{}_{xy},{}_{yz},{}_{xz}).$