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Knowing that the allowable normal stress for the steel used is 174 MPa, determine the section modulus and select the most economical S-shaped beam to support the loading shown using the

Knowing that the allowable normal stress for the steel used is 174 MPa, determine the section modulus and select the most economical S-shaped beam to support the loading shown using the

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Knowing that the allowable normal stress for the steel used is 174 MPa, determine the section modulus and select the most economical S-shaped beam to support the loading shown using the table given.

 

### Problem 13 **Objective:** Determine the section modulus and select the most economical S-shaped beam to support the given loading conditions. **Given:** - Allowable normal stress for the steel: 174 MPa. **Diagram:** - A beam is supported at points A and D. - A concentrated load of 80 kN is applied at point B. - A uniformly distributed load of 30 kN/m extends from point C to point D. - Distances: - A to B: 0.9 m - B to C: 1.8 m (spanning two sections) - Total span (A to D): 3.6 m **Table of S-shaped Beams:** | Shape | S (10³ mm³) | |------------|-------------| | S510 × 98.2| 1950 | | S380 × 64 | 973 | | S310 × 47.3| 593 | | S250 × 52 | 482 | **Tasks:** 1. Calculate the required section modulus. 2. Choose the most economical beam from the table. **Solution:** - The section modulus required is not filled in. - The most economical S-shaped beam based on the given options is **S310 × 47.3**.
Transcribed Image Text:### Problem 13 **Objective:** Determine the section modulus and select the most economical S-shaped beam to support the given loading conditions. **Given:** - Allowable normal stress for the steel: 174 MPa. **Diagram:** - A beam is supported at points A and D. - A concentrated load of 80 kN is applied at point B. - A uniformly distributed load of 30 kN/m extends from point C to point D. - Distances: - A to B: 0.9 m - B to C: 1.8 m (spanning two sections) - Total span (A to D): 3.6 m **Table of S-shaped Beams:** | Shape | S (10³ mm³) | |------------|-------------| | S510 × 98.2| 1950 | | S380 × 64 | 973 | | S310 × 47.3| 593 | | S250 × 52 | 482 | **Tasks:** 1. Calculate the required section modulus. 2. Choose the most economical beam from the table. **Solution:** - The section modulus required is not filled in. - The most economical S-shaped beam based on the given options is **S310 × 47.3**.
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