Final answer:
Stress and strain are related by Hooke's law: stress = Young’s modulus × strain. The question asks about the state of stress at a point given specific values of normal and shear stresses. The total stress at the point is the vector sum of these stresses.
Step-by-step explanation:
The given question is related to stress and strain in a material. Stress is the force per unit area applied to an object, while strain is the deformation or change in size of the object. Stress and strain are related by Hooke's law: stress = Young’s modulus × strain.
In this case, the stress at a point is given as σx = 20 ksi, σy = 10 ksi, and τxy = 9 ksi. These values represent the normal stresses in the x and y directions, and the shear stress in the xy plane. The total stress at the point is the vector sum of these stresses.