On the foot of a machine, strain measurement has been done with 45° strain gauge rosette (rectangular rosette) as shown in the figure. Measurement results recorded from the strain gauges are ε1=65 μin/in, ε2= 700 μin/in and ε3= 150 μin/in. (Use E=205 GPa and v=0.29)
Using the measurement results of strain gauge rosette, calculate:
a) Strain components εx,εy,γxy.
b) The principal stresses (in XY plane) at the measurement point.
Step 1 : Write down input parameters which are given.
Step 2 : Go to "Strain Calculation with Strain Rosette Measurement" page to calculate strain components εx,εy,γxy by using the values summarized in step 1.
Strain components are calculated as εx=65, εy=150,γxy=1185. This is the answer of clause a) of the problem.
Step 3 : Since the measurement has been recorded from the free surface of the machine, it can be assumed that the situation is plane stress state. For the calculation of principal stresses, go to " Calculation of Plane Stress State With Strain Gauge Rosette Results" page to calculate principal stresses by using the values summarized in step 1.
Principal stresses are calculated as 125.4 MPa and -63.4 MPa . This is the answer of clause b) of the problem.
The problem is completely solved with calculators which are summarized as follows.