Allowable Bending Stress Calculation for W-Section Beam
What is the allowable bending stress for different lengths of a W-section beam?
Given properties of the W-section beam: - Section dimensions: d = 540 mm, bj = 450 mm, tx = 20 mm, ty = 20 mm - Fy (yield strength): 248 MPa Calculate the allowable bending stress for beam lengths of: a. 4 m b. 6 m c. 10 m
Allowable Bending Stress Calculation:
Using the properties of the W-section beam and the given yield strength, we can determine the allowable bending stress for different lengths:
Allowable bending stress is an important factor in ensuring the safe design and operation of structural beams. It is crucial to calculate the allowable bending stress for different beam lengths to determine the maximum load the beam can withstand without causing failure. In this case, we will focus on a W-section beam with specific dimensions and yield strength.
Given the properties of the W-section beam, including the section dimensions and yield strength, we can calculate the section modulus (Zx) to determine the allowable bending stress using the formula:
Allowable Bending Stress = Fy / Safety Factor
1. For a length of 4 m:
- Calculate the section modulus (Zx) using the dimensions of the W-section beam.
- Apply the formula to find the allowable bending stress.
2. For a length of 6 m:
- Calculate the section modulus (Zx) using the dimensions of the W-section beam.
- Apply the formula to find the allowable bending stress.
3. For a length of 10 m:
- Calculate the section modulus (Zx) using the dimensions of the W-section beam.
- Apply the formula to find the allowable bending stress.
It's important to note that the safety factor used in the calculation of the allowable bending stress depends on the design requirements and specific application. Providing the safety factor will give us the exact value of the allowable bending stress for each length of the W-section beam.