Team Challenge #3
A beam having a semi-circular open cross-section with
constant thickness, $t$, is subject to a horizontal shear force, $V_2$.
a) Find the shear flow distribution, $f$, as a function of $\theta$.
Sketch the shear flow within the cross-section. Use the
format shown in the figure on slide 29 of the chapter 4
lecture notes.
b) Find the location and magnitude of the maximum shear
flow.
c) If the shear flow due to a vertical shear force, $V_3$, is $f = 2\cos(\theta)V_3/(\pi R)$, Find the location of the shear center.
Note that $s = R\theta$, $ds = Rd\theta$, and $dA = dsdt$