Question

A strain guage rosette is placed on the outside surface of a loaded component

The rossette has three guages aligned at 0, 45 and 90 degress.

The microstrain readings are 994, 178 and 942 respectively.


Use these readings to determine:

the Maximium in-plane Principal Strain (Answer in microstrain).

the Minimum in-plane Principal Strain (Answer in microstrain ).

the Principal Angle (Answer in degress).

the Maximum in-plane Shear Strain (Answer in microstrain).

Answer 1

To determine the maximum and minimum in-plane principal strains, use the microstrain readings obtained from the three strain gauges. Use the formula tan(2θ) = (2γxy) / (γxx - γyy) to find the principal angle. The maximum in-plane shear strain is half the difference between the maximum and minimum principal strains.

Step-by-step explanation:

A strain gauge rosette is used to measure the strain on a loaded component. The rosette consists of three strain gauges aligned at 0, 45, and 90 degrees. The microstrain readings obtained are: 994, 178, and 942 respectively. To determine the maximum and minimum in-plane principal strains, we need to find the maximum and minimum values among these readings. The maximum in-plane principal strain is 994 microstrain, and the minimum in-plane principal strain is 178 microstrain. The principal angle can be determined using the formula: tan(2θ) = (2γxy) / (γxx - γyy), where γxx, γyy, and γxy are the normal and shear strains. Finally, to find the maximum in-plane shear strain, we need to calculate half the difference between the maximum and minimum in-plane principal strains. Therefore, the maximum in-plane shear strain is (994 - 178) / 2 = 408 microstrain.