### Problem Statement1. For the W 21x 62 steel beam below, determine the actual value of \( \sigma_m \) in the beam and the maximum value of the principal stress \( \sigma_{max} \) at the junction of the flange and the web.### Diagram ExplanationThe diagram shows a simply supported steel beam labeled W 21x 62. The beam is subjected to:- Two point loads of 20 kips each at points A and D, located at the ends of the beam.- A uniformly distributed load of 2 kips/ft applied over the middle portion of the beam between points B and C.#### Beam Layout:- **Length of Beam:** Total length of 50 ft with supports placed at equal distances: - **10 ft** from A to the first support - **30 ft** between the supports - **10 ft** from the second support to D#### Load Distribution:- **Point Loads:** - At point A: 20 kips directed downward - At point D: 20 kips directed downward- **Uniformly Distributed Load:** - 2 kips/ft between points B and C, over a 30 ft length This setup represents a static loading condition where structural analysis can be used to find maximum fiber stress and principal stresses in the beam.

A simply supported beam at B and C, of length 30ft between B and C, with overhanging portion AB and…

1. For the W 21x 62 steel beam below determine the actual value of om in the beam and the maximum value of the principal stress omax at the junction of the flange and the web. 20 kips 20 kips A B 10 ft 2 kips/ft 30 ft C 10 ft D

1. For the W 21x 62 steel beam below determine the actual value of om in the beam and the maximum value of the principal stress omax at the junction of the flange and the web. 20 kips 20 kips A B 10 ft 2 kips/ft 30 ft C 10 ft D

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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Question

### Problem Statement

1. For the W 21x 62 steel beam below, determine the actual value of \( \sigma_m \) in the beam and the maximum value of the principal stress \( \sigma_{max} \) at the junction of the flange and the web.

### Diagram Explanation

The diagram shows a simply supported steel beam labeled W 21x 62. The beam is subjected to:

- Two point loads of 20 kips each at points A and D, located at the ends of the beam.
- A uniformly distributed load of 2 kips/ft applied over the middle portion of the beam between points B and C.

#### Beam Layout:

- **Length of Beam:** Total length of 50 ft with supports placed at equal distances:
- **10 ft** from A to the first support
- **30 ft** between the supports
- **10 ft** from the second support to D

#### Load Distribution:

- **Point Loads:**
- At point A: 20 kips directed downward
- At point D: 20 kips directed downward

- **Uniformly Distributed Load:**
- 2 kips/ft between points B and C, over a 30 ft length

This setup represents a static loading condition where structural analysis can be used to find maximum fiber stress and principal stresses in the beam.

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