Answer:
[tex]\tau=3.96\ ksi[/tex]
Explanation:
Given that
d= 1.5 in ( 1 in = 0.0254 m)
d= 0.0381 m
P= 75 hp ( 1 hp = 745.7 W)
P= 55927.5 W
N= 1800 rpm
We know that power P is given as
[tex]P=\dfrac{2\pi N\ T}{60}[/tex]
T=Torque
N=Speed
[tex]55927.5=\dfrac{2\times \pi \times 1800\ T}{60}[/tex]
T=296.85 N.m
The maximum shear stress is given as
[tex]\tau=\dfrac{16 T}{\pi d^3}[/tex]
[tex]\tau=\dfrac{16\times 296.85}{\pi \times 0.0381^3}[/tex]
[tex]\tau=27.35\ MPa[/tex]
We know that 1 MPa =0.145 ksi
[tex]\tau=3.96\ ksi[/tex]
