Question

determine the shear stress at location a, which is along the most y-positive line on the surface of the loaded cylinder. is in the positive x-direction, and is in the positive z-direction. for this problem, use 4 kn, 17 kn, 1.5 cm, 18.3 n m, 7 n m, and give resulting answer in mpa.

Answer 1

To find the shear stress at location A, calculate the cross-sectional area of the cylinder using the diameter, and apply the shear stress formula, resulting in a shear stress of approximately 226.32 MPa.

Step-by-step explanation:

To determine the shear stress at location A on the surface of a loaded cylinder, we use the formula τ = F / A, where τ is the shear stress, F is the force applied parallel to the area in question, and A is the cross-sectional area perpendicular to the force. With the provided values, we have a force F of 4 kN (which is 4000 N for conversion to SI units) and a cylinder with a diameter of 1.5 cm. First, we need to calculate the cross-sectional area A. The area of a circle is given by A = πd²/4, where d is the diameter.

For a cylinder with a diameter of 1.5 cm, which is 0.015 meters, the cross-sectional area A will be π(0.015 m)²/4 = 1.767×10⁻⁴ m². Our calculation for shear stress τ will be 4000 N / 1.767×10⁻⁴ m². Therefore, the shear stress at location A is approximately 226.32 MPa.