A cantilever beam made or square tuce (as shown below) has a length L = 1 m. The bar is required to hold an axial load P = 10 kN for a factor of safety nb 2.0 with respect to the buckling load, and ny = 1.5 with respect to the yield stress. (Take the elastic modulus as E = 25 GPa, the yield stress ay = 120MPa and density p=560 kg/m³). a) Determine the minimum required width a of the cross-section of this beam; and b) Determine the first 3 natural frequencies of this beam. 1 m P 10 kN

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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A cantilever beam made or square tube (as shown below) has a length L = 1 m. The bar is required to hold an axial load P = 10 kN for a factor of safety nb = 2.0 with respect to the buckling load, and ny = 1.5 with respect to the yield
stress. (Take the elastic modulus as E = 25 GPa, the yield stress ay = 120MPa and density p=560 kg/m³).
a) Determine the minimum required width a of the cross-section of this beam; and
b) Determine the first 3 natural frequencies of this beam.
1 m
a
D
Cross-section of the beam
P = 10 kN
Transcribed Image Text:A cantilever beam made or square tube (as shown below) has a length L = 1 m. The bar is required to hold an axial load P = 10 kN for a factor of safety nb = 2.0 with respect to the buckling load, and ny = 1.5 with respect to the yield stress. (Take the elastic modulus as E = 25 GPa, the yield stress ay = 120MPa and density p=560 kg/m³). a) Determine the minimum required width a of the cross-section of this beam; and b) Determine the first 3 natural frequencies of this beam. 1 m a D Cross-section of the beam P = 10 kN
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