Stress and Strain Transformation

This lecture delves into the transformation of stress and strain, exploring how shear stresses and normal stresses can be calculated in different coordinate systems by rotating them. The instructor explains the equations for shear stresses and normal stresses, emphasizing the angles where these stresses are maximum or minimum. The lecture covers the derivation of equations for finding these angles and discusses the significance of principal angles in determining failure directions. Additionally, the lecture touches on the von Mises criterion for ductile materials and the safety factor in design, highlighting the importance of considering maximum stresses and ensuring structural integrity.