Mohr's Circle Flashcards
What is the angle (in degrees) between the plane of maximum shear stress and a plane of principal stress?
45
On a plane of principal stress the shear stress will always be zero
TRUE
What is the angle in degrees between 2 principal stress directions?
90
For the applied stress state what is the value of the maximum principal stress?
140.6
6.5
31.7
A thin plate of material is used in an application where it experiences the following stress state (all values in MPa):
σxx = 79, σxy = 95 and σyy = 94
Calculate the maximum principal stress in MPa (give your answer to the nearest whole number).
182 +/- 2.5%
A thin plate of material is used in an application where it experiences the following stress state (all values in MPa):
σxx = 43.8, σxy = 33.8 and σyy = 11.3
Calculate the minimum principal stress in MPa (give your answer to 1 decimal place).
-9.9 +/- 2.5%
A thin plate of material is used in an application where it experiences the following stress state (all values in MPa):
σxx = 138, σxy = 52 and σyy = 10
Calculate the angle in degrees between the principal stress axes and the axes used to define the stress state. Give your answer to 3 significant figures
19.5 +/- 2%
A 0°, 45°, 90° strain rosette placed on a thin plate records the following microstrains 46.8, 17.8, -15.6 during loading. The material of the plate is separately measured to have a yield stress 365 MPa, a Young’s modulus 101 GPa and a Poisson’s ratio 0.347. Use this information to calculate the maximum principal strain. Give your answer in microstrain to 1 decimal place.
46.9% +/- 2%
A 0°, 45°, 90° strain rosette placed on a thin plate records the following microstrains 81.3, 8.4, 2.8 during loading. The material of the plate is separately measured to have a yield stress 715 MPa, a Young’s modulus 195 GPa and a Poisson’s ratio 0.255. Use this information to calculate the minimum principal strain. Give your answer in microstrain to 1 decimal place.
- 99.6 +/- 2%
