Question

A steel band blade, that was originally straight, passes

over8-in.-diameter pulleys when mounted on a band saw. Determine
themaximum stress in the blade, knowing that it is 0.018 in. thick
and0.625 in. wide. Use E = 29 x 106 psi.

Answer 1

`\sigma = 65.25\ ksi`

Step-by-step explanation:

given data:

D = 8 inch

R =4 inch

thickness = 0.018 inch

width = 0.625 inch

`E =29*10^6 psi`

from bending equation we know that

`(\sigma)/(y) = (M)/(I) = (E)/(R)`

`\sigma = (Ey)/(R)`

Where y represent distance from neutral axis

`y = \frac{t}[2}`

`y = (0.018)/(2)`

y = 0.009inch

`\sigma = (29*10^6*0.009)/(4)`

`\sigma = 65250\ psi`

`\sigma = 65.25\ ksi`