Critical Stress Element: Assuming static equilibrium,
identify the location of the critical stress element on the
cross-section where the crankarm connects to the
chainring, when the crankarm is horizontal and a vertical
load of 200 lbf is applied. Sketch the critical stress
element, 3D Mohr's circle, and list the principal stresses
and the max shear stress. Show entire analysis.
Assumptions should be clearly stated and justified.
Deformation: Using Castigliano's theorem, calculate the vertical deflection of the pedal relative to
where the crankarm connects to the chainring. Show entire analysis. Assumptions should be clearly
stated and justified.
\delta _(i)=(delU)/(delF_(i))=\int (1)/(AE)(F(delF)/(delF_(i)))dx, tension and compression
0_(i)=(delU)/(delM_(i))=\int (1)/(GJ)(T(delT)/(delM_(i)))dx torsion
\delta _(i)=(delU)/(delF_(i))=\int (1)/(EI)(M(delM)/(delF_(i)))dx bending