Answer:
σt=207.9 Mpa
σa=4.719 Mpa
σb=45.47 Mpa
Explanation:
The problem doesn't have the image of the values a-a and b-b however here the image determinate tha values and how can you resolve even for a different values a-a and b-b here use industries long bolt
σt[tex]=\frac{P}{A}[/tex]
d=7mm
a-a=18mm, La=30mm
b-b=7mm, Lb=8mm
[tex]A_{cross}=\frac{\pi }{4}*d^{2}[/tex]
[tex]A_{cross}=\frac{\pi }{a}*0.007m^{2}\\A_{cross}=38.48x10^{-6}m^{2}[/tex]
σt[tex]=\frac{8kN}{38.48x10^{-6}m^{2}}[/tex]
σt[tex]=207900207.9=207.9x10^{6}pa[/tex]
σt=207.9 Mpa
σa[tex]=\frac{P}{Aa}[/tex]
[tex]A_{a-a}=\pi *d*L\\A_{a-a}=\pi *0.018m*0.030m\\A_{a-a}=1.695 x10^{-3}m^{2}[/tex]
σa[tex]=\frac{8kN}{1.695x10^{-3}m^{2}}[/tex]
σa= 47197640.012
σa=4.719 Mpa
σb[tex]=\frac{P}{Ab}[/tex]
[tex]A_{b-b}=\pi *d*L\\A_{a-a}=\pi *0.007m*0.008m\\A_{a-a}=0.175 x10^{-3}m^{2}[/tex]
σb[tex]=\frac{8kN}{0.1759^{-3}m^{2}}[/tex]
σb= 4547284.088
σb=45.47 Mpa
