How do I solve this problem, the numbers I keep getting don't make any sence ### DescriptionThe image consists of two figures, Figure A and Figure B, which are related to a structural engineering problem involving a steel beam.#### Figure A: Beam Diagram- **Setup**: This figure shows a simply supported beam, labeled as beam \( AC \), subjected to a triangular distributed load with intensity \( w_0 \).- **Support Details**: - Support at point \( A \) is a pin support. - Support at point \( C \) is a roller support.- **Load Distribution**: - The distributed load varies linearly along the length of the beam, peaking at \( w_0 \) at the midpoint \( B \).- **Dimensions**: - Total length of the beam (\( L \)) is 6.0 meters. - Beam is symmetrically loaded such that point \( B \) is the midpoint, dividing the beam into two equal lengths of \( \frac{L}{2} \).#### Figure B: Cross-Section Diagram- **Shape**: The cross-section of the beam shown is an I-beam.- **Dimensions**: - Total depth of the beam (\( d \)) is 320 mm. - Flange width (\( b_f \)) is 180 mm. - Flange thickness (\( t_f \)) is 16 mm. - Web thickness (\( t_w \)) is 7 mm.### Problem StatementCalculate the largest intensity of distributed load \( w_0 \) that can be supported by this beam if the allowable bending stress is 190 MPa. **Given Data**:- Beam Length, \( L = 6.0 \, \text{m} \)- Depth of Beam, \( d = 320 \, \text{mm} \)- Flange Width, \( b_f = 180 \, \text{mm} \)- Flange Thickness, \( t_f = 16 \, \text{mm} \)- Web Thickness, \( t_w = 7 \, \text{mm} \)- Allowable Bending Stress = 190 MPaThis problem is an application of structural analysis principles, where the distribution and magnitude of loads, along with material and dimensional properties, play a crucial part in ensuring safe structural performance.

The dimension are The length of beam is The maximum bending stress is

The steel beam in Figure A has the cross section shown in Figure B. The beam length is L = 6.0 m, and the cross-sectional dimensions are d = 320 mm, bf = 180 mm, tf = 16 mm, and tw = 7 mm. Calculate the largest intensity of distributed load wo that can be supported by this beam if the allowable bending stress is 190 MPa. A y Wo B с x tf

The steel beam in Figure A has the cross section shown in Figure B. The beam length is L = 6.0 m, and the cross-sectional dimensions are d = 320 mm, bf = 180 mm, tf = 16 mm, and tw = 7 mm. Calculate the largest intensity of distributed load wo that can be supported by this beam if the allowable bending stress is 190 MPa. A y Wo B с x tf

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Problem 1.1MA

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Question

How do I solve this problem, the numbers I keep getting don't make any sence

### Description

The image consists of two figures, Figure A and Figure B, which are related to a structural engineering problem involving a steel beam.

#### Figure A: Beam Diagram

- **Setup**: This figure shows a simply supported beam, labeled as beam \( AC \), subjected to a triangular distributed load with intensity \( w_0 \).
- **Support Details**:
- Support at point \( A \) is a pin support.
- Support at point \( C \) is a roller support.
- **Load Distribution**:
- The distributed load varies linearly along the length of the beam, peaking at \( w_0 \) at the midpoint \( B \).
- **Dimensions**:
- Total length of the beam (\( L \)) is 6.0 meters.
- Beam is symmetrically loaded such that point \( B \) is the midpoint, dividing the beam into two equal lengths of \( \frac{L}{2} \).

#### Figure B: Cross-Section Diagram

- **Shape**: The cross-section of the beam shown is an I-beam.
- **Dimensions**:
- Total depth of the beam (\( d \)) is 320 mm.
- Flange width (\( b_f \)) is 180 mm.
- Flange thickness (\( t_f \)) is 16 mm.
- Web thickness (\( t_w \)) is 7 mm.

### Problem Statement

Calculate the largest intensity of distributed load \( w_0 \) that can be supported by this beam if the allowable bending stress is 190 MPa.

**Given Data**:
- Beam Length, \( L = 6.0 \, \text{m} \)
- Depth of Beam, \( d = 320 \, \text{mm} \)
- Flange Width, \( b_f = 180 \, \text{mm} \)
- Flange Thickness, \( t_f = 16 \, \text{mm} \)
- Web Thickness, \( t_w = 7 \, \text{mm} \)
- Allowable Bending Stress = 190 MPa

This problem is an application of structural analysis principles, where the distribution and magnitude of loads, along with material and dimensional properties, play a crucial part in ensuring safe structural performance.

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