**T-Beam Design Analysis**The double T-beam illustrated is fabricated from aluminum. For this beam, the material has allowable stresses where the allowable normal stress (\( \sigma_{\text{allow}} \)) is 162 MPa, and the allowable shear stress (\( \tau_{\text{allow}} \)) is 105 MPa. This analysis aims to determine:a) The maximum allowable bending moment that can be applied to the section.b) The maximum allowable shear force that can be applied to the section.**Beam Dimensions and Structure:**The diagram presents a cross-section of the T-beam with the following dimensions:- The total height of the beam is 175 mm.- The flange (top horizontal part) of the beam has a thickness of 25 mm.- The overall width of the entire beam is composed of two segments each 75 mm wide, separated by 75 mm, making the total width of the top flange 225 mm.- The web (vertical part) of each T-segment is 25 mm thick.**Structural Analysis:**1. **Flange Dimensions:** - Width: 75 mm per segment - Thickness: 25 mm2. **Web Dimensions:** - Height: 175 mm - Thickness: 25 mmThese dimensions are critical for calculating the moment of inertia and section modulus, which will be used in determining the maximum bending moment and shear force. The symmetry and uniformity of the T-beam suggest that calculations will consider contributions from both the flange and web sections to find these limits efficiently.To provide practical guidance for further calculations, engineers should consider these structural characteristics and constraints while analyzing the beam's performance under load.

Given Data: The allowable bending stress is σallow=162 MPa. The allowable shear stress is τallow=105…

The double T-beam is fabricated from Aluminum that has allowable stresses of allow = 162 MPa and Tallow = 105 MPa. Determine: a) The maximum allowable bending moment that can be applied to the section. b) The maximum allowable shear force that can be applied to the section. 25 mm 175 mm 75 mm 75 mm 75 mm 25 mm 25 mm

The double T-beam is fabricated from Aluminum that has allowable stresses of allow = 162 MPa and Tallow = 105 MPa. Determine: a) The maximum allowable bending moment that can be applied to the section. b) The maximum allowable shear force that can be applied to the section. 25 mm 175 mm 75 mm 75 mm 75 mm 25 mm 25 mm

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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Members with compression and bending

Compression members are structural elements that carry compressive axial force. They are the vertical members of a building that support beams and their design, which is governed by buckling and strength. Columns are known as struct or compression members, which are subjected to compressive forces. These members provide stiffness to the building and avoid any imperfection regarding the transfer of axial load. For instance, webs in a truss, braces in a framed structure, tiers, and so on.

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**T-Beam Design Analysis**

The double T-beam illustrated is fabricated from aluminum. For this beam, the material has allowable stresses where the allowable normal stress (\( \sigma_{\text{allow}} \)) is 162 MPa, and the allowable shear stress (\( \tau_{\text{allow}} \)) is 105 MPa. This analysis aims to determine:

a) The maximum allowable bending moment that can be applied to the section.
b) The maximum allowable shear force that can be applied to the section.

**Beam Dimensions and Structure:**

The diagram presents a cross-section of the T-beam with the following dimensions:

- The total height of the beam is 175 mm.
- The flange (top horizontal part) of the beam has a thickness of 25 mm.
- The overall width of the entire beam is composed of two segments each 75 mm wide, separated by 75 mm, making the total width of the top flange 225 mm.
- The web (vertical part) of each T-segment is 25 mm thick.

**Structural Analysis:**

1. **Flange Dimensions:**
- Width: 75 mm per segment
- Thickness: 25 mm

2. **Web Dimensions:**
- Height: 175 mm
- Thickness: 25 mm

These dimensions are critical for calculating the moment of inertia and section modulus, which will be used in determining the maximum bending moment and shear force. The symmetry and uniformity of the T-beam suggest that calculations will consider contributions from both the flange and web sections to find these limits efficiently.

To provide practical guidance for further calculations, engineers should consider these structural characteristics and constraints while analyzing the beam's performance under load.

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