Answer:
The number of bolt is 4.
Explanation:
Given that,
[tex]\tau = 0.5\ MPa[/tex]
distance = 8 mm
Suppose, Load P = 205 N
We need to calculate the shear area of bolt
Using formula of shear stress
[tex]\tau=\dfrac{P}{A}[/tex]
Here is double shear.
So, [tex]\tau[/tex] will be double.
[tex]A=\dfrac{P}{2\tau}[/tex]
Put the value into the formula
[tex]A=\dfrac{205}{2\times0.5\times10^{6}}[/tex]
[tex]A=205\times10^{-6}\ m^2[/tex]
We need to calculate the area of one bolt
Using formula of area
[tex]A'=\dfrac{\pi}{4}d^2[/tex]
Put the value into the formula
[tex]A'=\dfrac{\pi}{4}\times(8\times10^{-3})^2[/tex]
[tex]A'=50.26\times10^{-6}\ m^2[/tex]
We need to calculate the number of bolt
Using formula of number of bolt
[tex]n=\dfrac{A}{A'}[/tex]
Put the value into the formula
[tex]n=\dfrac{205\times10^{-6}}{50.26\times10^{-6}}[/tex]
[tex]n=4.0[/tex]
Hence, The number of bolt is 4.
