Given the stresses at a space point in the body, sx, sy, and txy, this calculator computes the stresses of the same space point in a rotated coordinate system, sx', sy', and tx'y'.

Equations behind the Calculator

The following coordinate transformation equations were used,

principale stresses
Given the stress components sx, sy, and txy, this calculator computes the principal stresses s1, s2, the principal angle qp, the maximum shear stress tmax and its angle qs. It also draws an approximate Mohr's cirlce for the given stress state.

The Mohr's circle associated with the above stress state is similar to the following figure. However, the exact loaction of the center sAvg, the radius of the Mohr's circle R, and the principal angle qp may be different from what are shown in the figure.

Given the stresses at a space point in the body, sx, sy, and txy, this calculator computes the stresses of the same space point in a rotated coordinate system, sx', sy', and tx'y'.

Equations behind the Calculator

The following coordinate transformation equations were used,

principale stresses
Given the stress components sx, sy, and txy, this calculator computes the principal stresses s1, s2, the principal angle qp, the maximum shear stress tmax and its angle qs. It also draws an approximate Mohr's cirlce for the given stress state.

The Mohr's circle associated with the above stress state is similar to the following figure. However, the exact loaction of the center sAvg, the radius of the Mohr's circle R, and the principal angle qp may be different from what are shown in the figure.

Calculator Introduction of the stressesGiven the stresses at a space point in the body, sx, sy, and txy, this calculator computes the stresses of the same space point in a rotated coordinate system, sx', sy', and tx'y'.

Equations behind the Calculator

The following coordinate transformation equations were used,principale stressesGiven the stress components sx, sy, and txy, this calculator computes the principal stresses s1, s2, the principal angle qp, the maximum shear stress tmax and its angle qs. It also draws an approximate Mohr's cirlce for the given stress state.

The Mohr's circle associated with the above stress state is similar to the following figure. However, the exact loaction of the center sAvg, the radius of the Mohr's circle R, and the principal angle qp may be different from what are shown in the figure.

Equations behind the Calculator

The formulas used in this calculator are,

The following was originally published May 30, 2011 at http://aero103.blogspot.com/2011/05/chapter7transformation-of-plane-stress.html

Calculator Introduction of the stressesGiven the stresses at a space point in the body, sx, sy, and txy, this calculator computes the stresses of the same space point in a rotated coordinate system, sx', sy', and tx'y'.

Equations behind the Calculator

The following coordinate transformation equations were used,principale stressesGiven the stress components sx, sy, and txy, this calculator computes the principal stresses s1, s2, the principal angle qp, the maximum shear stress tmax and its angle qs. It also draws an approximate Mohr's cirlce for the given stress state.

The Mohr's circle associated with the above stress state is similar to the following figure. However, the exact loaction of the center sAvg, the radius of the Mohr's circle R, and the principal angle qp may be different from what are shown in the figure.

Equations behind the Calculator

The formulas used in this calculator are,