Problem Statement:

A go$-$kart's rear wheels utilize a live axle $($axle rotates with

wheels$).$ A go$-$kart weighs $500$ lbs$.($including the driver$)$

with $57\%$ of the weight distributed to the rear axle.

The axle diameter is $0\mathrm{.}98$ inches with a track distance of $31\mathrm{.}50$ inches.

The minimum required fatigue factor of safety is $2$:$1.$ The

static factor of safety must also be determined.

Determine whether the axle design with the given

parameters will be safe for infinite life service.

Material Properties: AISI Alloy $4140$

$=95=60=26\%=30,458$

Assume that the weight is evenly distributed across the

length of the axle.

Assume that the setup is either a cantilever beam or a

simply supported beam, whichever is most appropriate.

STATE WHICH ONE YOU HAVE SELECTED.

Fatigue Design parameters

a$.$ Room temperature

b$.$ Reliability $=90\%$

c$.$ Machined surface

d$.$ No stress concentrations

e$.$ Cyclical Loading

f$.$ Fully Reversed Stress

Solve using Matlab script or MathCad

Include free$-$body diagram$($s$),$ shear & moment diagram$($s$)$