Question

Determine principal and maximum shearing stresses for a beam with circular cross section under axial, bending and transverse loading A vertical force P of magnitude 64 lb is applied to the crank at point A. Knowing that the shaft BDE has a diameter of 0.75 in., determine the principal stresses and the maximum shearing stress at point H located at the top of the shaft, 2 in. to the right of support D. (Round the final answers to two decimal places.) 1 in. 2 in. 60 D E IH Sin. В 5 in. Omax The principal stresses are ksi Omin ksi The maximum shearing stress is ksi.

Answer 1

Calculate the principal and maximum shearing stresses for a beam with circular cross section subjected to various loads by determining axial, bending, and shear stress components, then apply stress transformation to find principal stresses and maximum shearing stress.

Step-by-step explanation:

The student has been asked to calculate the principal stresses and maximum shearing stress at a point in a beam with a circular cross section subjected to axial, bending, and transverse loading. This problem requires knowledge of mechanics of materials and the ability to analyze stresses in a shaft.

Typically, calculating stresses involves determining the axial stress (due to axial force), bending stress (due to bending moment), and shear stress (due to transverse loads). Principal stresses are obtained from the normal stresses by using stress transformation equations or Mohr's circle method, which considers the combined effect of axial and bending stresses. The maximum shearing stress can also be derived from these principal stresses.

Note that it is important to consider the geometry of the beam when calculating these stresses. Since the shaft has a diameter of 0.75 inches, the area, moment of inertia, and radius are used in calculating the normal and shearing stresses. However, to provide a detailed calculation, the full loading conditions, such as moment values and the position and magnitude of transverse loads, must be known. Without complete information, it is not possible to accurately calculate the stresses for this specific problem.