11-5 The beam AB shown in the figure is considered as a rigid structure without any deformation.The simple beam DE is a rectanglular wood beam (100 mm300 mm in cross section) withEbeam=10GPa. A steel rod AC (Erod=200GPa) of diameter 6mmand length 3m serves as a hanger to strengthen the beam DE. Thehanger fits snugly between the beams before the uniform load (qis 6kN/m) applied to beam DE. Using the superposition method,determine the tensile force F in the hanger and the maximumbending moments Mmax in beam DE. **Problem 11-5: Analysis of Beam and Hanger System**The beam AB shown in the figure is considered a rigid structure without any deformation. The simple beam DE is a rectangular wood beam with a cross-section of 100 mm by 300 mm and a modulus of elasticity \(E_{\text{beam}} = 10 \text{GPa}\). A steel rod AC, with a modulus of elasticity \(E_{\text{rod}} = 200 \text{GPa}\), a diameter of 6 mm, and a length of 3 m, is used as a hanger to strengthen beam DE. The hanger fits snugly between the beams before any uniform load is applied.A uniform load \(q\) of 6 kN/m is applied to beam DE. Using the superposition method, determine:1. The tensile force \(F\) in the hanger.2. The maximum bending moments \(M_{\text{max}}\) in beam DE.**Diagram Overview:**- The diagram shows a setup with beam DE horizontally positioned and supported at points D and E.- A steel rod extends vertically between point C on beam DE and point B on beam AB.- The distance between points D and E is 6 m, with point C located exactly in the middle at 3 m from both D and E.- A uniformly distributed load of 6 kN/m is applied along beam DE.- The steel rod at AC provides additional support and is positioned vertically above the midpoint of DE.This setup is used to calculate the effects of the load using superposition, helping to understand how the forces are distributed across the system.

To Find:the tensile force in the hanger.the maximum bending moment in the beam DE.Given:the Young's…

Answered: 11-5 The beam AB shown in the figure is…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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11-5 The beam AB shown in the figure is considered as a rigid structure without any deformation. The simple beam DE is a rectanglular wood beam (100 mm300 mm in cross section) with Ebeam=10GPa. A steel rod AC (Erod=200GPa) of diameter 6mm and length 3m serves as a hanger to strengthen the beam DE. The hanger fits snugly between the beams before the uniform load (q is 6kN/m) applied to beam DE. Using the superposition method, determine the tensile force F in the hanger and the maximum bending moments Mmax in beam DE.

**Problem 11-5: Analysis of Beam and Hanger System**

The beam AB shown in the figure is considered a rigid structure without any deformation. The simple beam DE is a rectangular wood beam with a cross-section of 100 mm by 300 mm and a modulus of elasticity \(E_{\text{beam}} = 10 \text{GPa}\).

A steel rod AC, with a modulus of elasticity \(E_{\text{rod}} = 200 \text{GPa}\), a diameter of 6 mm, and a length of 3 m, is used as a hanger to strengthen beam DE. The hanger fits snugly between the beams before any uniform load is applied.

A uniform load \(q\) of 6 kN/m is applied to beam DE.

Using the superposition method, determine:
1. The tensile force \(F\) in the hanger.
2. The maximum bending moments \(M_{\text{max}}\) in beam DE.

**Diagram Overview:**

- The diagram shows a setup with beam DE horizontally positioned and supported at points D and E.
- A steel rod extends vertically between point C on beam DE and point B on beam AB.
- The distance between points D and E is 6 m, with point C located exactly in the middle at 3 m from both D and E.
- A uniformly distributed load of 6 kN/m is applied along beam DE.
- The steel rod at AC provides additional support and is positioned vertically above the midpoint of DE.

This setup is used to calculate the effects of the load using superposition, helping to understand how the forces are distributed across the system.

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The question asked for solving with superposition

11-5 The beam AB shown in the figure is considered as a rigid structure without any deformation.
The simple beam DE is a rectanglular wood beam (100 mmx300 mm in cross section) with
Ebeam 10GPa. A steel rod AC (Erod=200GPa) of diameter 6mm
and length 3m serves as a hanger to strengthen the beam DE. The
hanger fits snugly between the beams before the uniform load (9
is 6kN/m) applied to beam DE. Using the superposition method,
determine the tensile force F in the hanger and the maximum
bending moments Mmax in beam DE.
D
6 kN/m
Wood beam
3 m
Steel rod
3 m
3m

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