ME 422
Problem Set 3
Name
A stationary circular section shaft has bearings (simple supports) at x=0.4 (section B ) and x=1.4 (section G). The bearing at G provides axial support for the shaft. The shaft carries a variety of transverse forces, axial forces, and axial torques. Vertical reactions at the supports are calculated to be R_(B)=350N and RG_(c)= 150N downward. (a) Sketch internal load diagrams (transverse shear force V(x), bending moment M(x), axial torque T(x), and axial force F(x) ) for the bar.
(b) Five potential critical points P1-P5 are indicated on the shaft. Using your internal load diagrams and the stress elements provided, indicate the stress components (bending normal stress, sigma _(M), axial normal stress, sigma _(A), transverse shear stress, au _(V), torsional shear stress, au _(T) ) acting at the points. Show the proper directions for the stress components, but do not calculate numerical values. Do not show a stress component if its value is zero. P1 and P2 are on the top or bottom fibers of the bar. P3 and P4, and P5 are at the neutral axis. Point P5 is on the "hidden" side of the bar.
A
B
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ME 422 Problem Set 3 Name A stationary circular section shaft has bearings (simple supports) at x=0.4 (section B) and x=1.4 (section G). The bearing at G provides axial support for the shaft. The shaft carries a variety of transverse forces, axial forces, and axial torques. Vertical reactions at the supports are calculated to be R = 350 N and Ro = 150 N downward. (a) Sketch internal load diagrams (transverse shear force V(x), bending moment M(x), axial torque T(x),and axial force Fxfor the bar. (b) Five potential critical points P1-P5 are indicated on the shaft. Using your internal load diagrams and the stress elements provided, indicate the stress components (bending normal stress, om, axial normal stress, transverse shear stress, tv, torsional shear stress, r) acting at the points. Show the proper directions for the stress components, but do not calculate numerical values. Do not show a stress component if its value is zero. P1 and P2 are on the top or bottom fibers of the bar.P3 and P4, and P5 are at the neutral axis. Point P5 is on the"hidden"side of the bar M=90N-m |300N T=50N-m To=80N-m 100N Tp= P2 Show P3 150N Sample a 200N P1 250N RB=350N Rg=150N 0.4 m 0.2m 0.2m 02 02 02m ..
P5 (EC)
Spring 2024