A beam has a bending moment of 3.5 kN-m applied to a section with a hollow circular cross-section of external diameter 3.5 cm and internal diameter 2.4 cm . The modulus of elasticity for the material is 210 x 10° N/m². Calculate the radius of curvature and maximum bending stress. Also, calculate the stress at the point at 0.7 cm from the neutral axis

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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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 external diameter 3.5 cm and internal diameter 2.4 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 0.7 cm from the neutral axis
Solution:
(i) The moment of inertia =
ii) The radius of curvature is
(iii) The maximum bending stress is
iv) The bending stress at the point 0.7 cm from the neutral axis is
Transcribed Image Text:A beam has a bending moment of 3.5 kN-m applied to a section with a hollow circular cross-section of external diameter 3.5 cm and internal diameter 2.4 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 0.7 cm from the neutral axis Solution: (i) The moment of inertia = ii) The radius of curvature is (iii) The maximum bending stress is iv) The bending stress at the point 0.7 cm from the neutral axis is
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