A cantilever beam of 2 m length and 10 cm diameter is loaded with 10 kN at free end. If the Young's Modulus of the beam material is 150 GPa, then the radius of curvature of the beam at the mid-span is M₁

A cantilever beam of 2 m length and 10 cm diameter is loaded with 10 kN at free end. If the Young's Modulus of the beam material is 150 GPa, then the radius of curvature of the beam at the mid-span is M₁

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Members with compression and bending

Compression members are structural elements that carry compressive axial force. They are the vertical members of a building that support beams and their design, which is governed by buckling and strength. Columns are known as struct or compression members, which are subjected to compressive forces. These members provide stiffness to the building and avoid any imperfection regarding the transfer of axial load. For instance, webs in a truss, braces in a framed structure, tiers, and so on.

Question

A cantilever beam of 2 m length and
10 cm diameter is loaded with 10 kN
at free end. If the Young's Modulus of
the beam material is 150 GPa, then
the radius of curvature of the beam at
the mid-span is
M.

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Step 2: Determine moment at mid-span of the beam

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Step 3: Compute moment of inertia for the beam

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Step 4: Compute radius of curvature at the center of beam

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