Answer:
a) 280MPa
b) -100MPa
c) -0.35
d) 380 MPa
Explanation:
GIVEN DATA:
mean stress ![\sigma_m = 90MPa](https://tex.z-dn.net/?f=%5Csigma_m%20%3D%2090MPa)
stress amplitude ![\sigma_a = 190MPa](https://tex.z-dn.net/?f=%5Csigma_a%20%3D%20190MPa)
a) ![\sigma_m =\frac{\sigma_max+\sigma_min}{2}](https://tex.z-dn.net/?f=%5Csigma_m%20%3D%5Cfrac%7B%5Csigma_max%2B%5Csigma_min%7D%7B2%7D)
--------------1
![\sigma_a =\frac{\sigma_{max}-\sigma_{min}}{2}](https://tex.z-dn.net/?f=%5Csigma_a%20%3D%5Cfrac%7B%5Csigma_%7Bmax%7D-%5Csigma_%7Bmin%7D%7D%7B2%7D)
-----------2
solving 1 and 2 equation we get
![\sigma_{max} = 280MPa](https://tex.z-dn.net/?f=%5Csigma_%7Bmax%7D%20%3D%20280MPa)
b) ![\sigma_{min} = - 100MPa](https://tex.z-dn.net/?f=%5Csigma_%7Bmin%7D%20%3D%20-%20100MPa)
c)
stress ratio![=\frac{\sigma_{min}}{\sigma_{max}}](https://tex.z-dn.net/?f=%20%3D%5Cfrac%7B%5Csigma_%7Bmin%7D%7D%7B%5Csigma_%7Bmax%7D%7D)
![=\frac{-100}{280} = -0.35](https://tex.z-dn.net/?f=%3D%5Cfrac%7B-100%7D%7B280%7D%20%3D%20-0.35)
d)magnitude of stress range
![=(\sigma_{max} -\sigma_{min})](https://tex.z-dn.net/?f=%3D%28%5Csigma_%7Bmax%7D%20-%5Csigma_%7Bmin%7D%29)
= 280 -(-100) = 380 MPa
Pooping problems is not an affect
This is an arch, its basically a half circle attach to a rectangle, you could also think of it as an upside down U. A dome is a Sphere with the inside hollowed out.
1 difference is a dome is a 3 dimensional shape while an arch is normally not. Or that a dome is the complete shape with a arch act as it’s diameter.
Answer:
The Full details of the answer is attached.