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Three forces are applied to the cantilever beam shown. Determine the principal stresses and the maximum shearing stress at point H.

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Final answer:

To determine the principal stresses and maximum shearing stress at point H in a cantilever beam, we need to analyze the forces and deformations, and use the concepts of shear stress and shear modulus.

Step-by-step explanation:

To determine the principal stresses and maximum shearing stress at point H in the cantilever beam, we need to analyze the forces and deformations. The principal stresses are the maximum and minimum normal stresses experienced at a point. The maximum shearing stress occurs on planes oriented at 45 degrees to the principal planes.

When analyzing the stress and deformation in a beam, we use the concept of shear stress and shear modulus. Shear stress is the force per unit area acting parallel to the cross-sectional area. The shear modulus is a material property that relates the shear stress to the shear strain.

By applying the principles of mechanics of materials and using equations for stress and deformation, we can calculate the principal stresses and maximum shearing stress at point H in the cantilever beam.

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