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Select the lightest suitable Wide Flanged I beam if the allowable stress is limited to 120 MPa.

Answer :

Final answer:

The lightest suitable Wide Flanged I beam can be selected by comparing the section modulus of different beams and choosing the one with the highest section modulus. This beam will be able to withstand the required stress of 120MPa with the least amount of material.

Explanation:

When selecting a Wide Flanged I beam based on the allowable stress of 120MPa, it is important to consider the properties of different beams and choose the one that can withstand the required stress while minimizing weight.

Wide Flanged I beams are commonly used in construction and structural engineering projects due to their strength and versatility. They are available in various sizes and dimensions, with different cross-sectional properties.

To determine the lightest suitable Wide Flanged I beam, we need to compare the properties of different beams and select the one that meets the stress requirement while minimizing weight. This can be done by calculating the section modulus (Z) and moment of inertia (I) for each beam.

The section modulus (Z) is a measure of the beam's resistance to bending and is calculated using the formula:

Z = (I / c)

where I is the moment of inertia and c is the distance from the neutral axis to the outermost fiber of the beam.

By comparing the section modulus of different beams, we can determine their relative resistance to bending. The beam with the highest section modulus will be able to withstand the required stress with the least amount of material, making it the lightest suitable option.

Additionally, it is important to consider other factors such as the beam's length, support conditions, and any additional loads or constraints that may affect its performance.

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