A beam has a bending moment of 3.5 kN-m applied to a section with a hollow circular cross-section of the external diameter of 3.6 cm and an internal diameter of 2 cm. The modulus of elasticity for the material is 210 x 109 N/m2. Calculate the radius of curvature and maximum bending stress. Also, calculate the stress at the point at 0.5 cm from the neutral axis Solution: (i) The moment of inertia = Answer and unit for part 1 ii) The radius of curvature is Answer and unit for part 2 (iii) The maximum bending stress is Answer and unit for part 3 iv) The bending stress at the point 0.5 cm from the neutral axis is
A beam has a bending moment of 3.5 kN-m applied to a section with a hollow circular cross-section of the external diameter of 3.6 cm and an internal diameter of 2 cm. The modulus of elasticity for the material is 210 x 109 N/m2. Calculate the radius of curvature and maximum bending stress. Also, calculate the stress at the point at 0.5 cm from the neutral axis Solution: (i) The moment of inertia = Answer and unit for part 1 ii) The radius of curvature is Answer and unit for part 2 (iii) The maximum bending stress is Answer and unit for part 3 iv) The bending stress at the point 0.5 cm from the neutral axis is
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A beam has a bending moment of 3.5 kN-m applied to a section with a hollow circular cross-section of the external diameter of 3.6 cm and an internal diameter of 2 cm. The modulus of elasticity for the material is 210 x 109 N/m2. Calculate the radius of curvature and maximum bending stress. Also, calculate the stress at the point at 0.5 cm from the neutral axis
Solution:
(i) The moment of inertia =
Answer and unit for part 1ii) The radius of curvature is
Answer and unit for part 2(iii) The maximum bending stress is
Answer and unit for part 3iv) The bending stress at the point 0.5 cm from the neutral axis is
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