### Beam-Tank Assembly AnalysisA 15-meter long beam-tank assembly supports the loading shown **in addition to its weight**, which is a uniform distributed load of 800 N per meter. The beam is integrated into a cylindrical tank, with cross-sectional details provided.#### Tank Specifications:- **Outer Diameter:** 166 mm- **Inner Diameter:** 152 mm- **Gage Pressure:** 320 kPa#### Pin Connection:- The pin is located 60 mm up from the bottom of the beam.#### Objective:Determine the internal forces (V = Shear Force, N = Axial Force, M = Bending Moment) at the centroid of a section taken 8 meters to the right of the left end of the beam (4 meters to the right of point A).#### Diagram Explanation:- **Forces Acting on the Beam:** - A 40 kN force is acting to the left at the start of the beam. - A 78 kN force is acting downwards at the end of the beam, at an angle depicted but not specified. - **Distances:** - The distance from point A to the 8-meter mark is shown. - Point A to point B is between supports, measuring 4 meters. - Total length: 15 meters.This setup helps analyze structural stability and calculate internal forces at specified points, critical for ensuring safe design and operation. ### Problem StatementFor a point “D” that is located on the outer edge of the tank (as shown on the cross section), on section d-d that is 8 meters to the right of the left end of the beam (4 meters to the right of point “A”):Determine the following:(a) Principal stresses (in MPa)(b) Maximum in-plane shear stress (in MPa)(c) Principal angle (in degrees)### Diagram AnalysisA cross-sectional view of a mechanical component is shown. It includes the following dimensions:- The outer frame is L-shaped with: - A vertical section measuring 40 mm in thickness and 240 mm in height. - A horizontal section measuring 40 mm in thickness and 200 mm in length. - An internal vertical clearance of 20 mm. - Within the L-shaped frame, there is a circular section with a diameter fitting within the internal bounds, positioned centrally.- The point “D” is located at the outer circumference of the circular section, indicating an area of interest for stress analysis.- A rectangular cutout is detailed at the lower right, measuring 20 mm by 150 mm.This setup is typically analyzed for stress distribution along the point and sections described, a critical step in structural engineering and mechanics.

Name: ### Beam-Tank Assembly AnalysisA 15-meter long beam-tank assembly sup
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Description: ### Beam-Tank Assembly AnalysisA 15-meter long beam-tank assembly supports the loading shown **in addition to its weight**, which is a uniform distributed load of 800 N per meter. The beam is integrated into a cylindrical tank, with cross-sectional

Given:The outer diameter of cylinder is .The inner diameter of cylinder is .

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A 15-meter long beam-tank assembly supports the loading shown in addition to its weight, which is a uniform distributed load of 800 N per meter. The beam has integrated into it a cylindrical tank, and the cross-section details for the beam-tank assembly are shown on the next page. The tank has an outer diameter of 166 mm and an inner diameter of 152 mm. The substance inside the tank has a gage pressure of 320 kPa. The pin in the pin-connection is located 60 mm up from the bottom of the beam. Determine the internal forces (V, N, & M) at the centroid of a section taken 8 m TO THE RIGHT OF THE LEFT END OF THE BEAM (4 m to the right of point A). 40 kN- A B 13 78 KN

A 15-meter long beam-tank assembly supports the loading shown in addition to its weight, which is a uniform distributed load of 800 N per meter. The beam has integrated into it a cylindrical tank, and the cross-section details for the beam-tank assembly are shown on the next page. The tank has an outer diameter of 166 mm and an inner diameter of 152 mm. The substance inside the tank has a gage pressure of 320 kPa. The pin in the pin-connection is located 60 mm up from the bottom of the beam. Determine the internal forces (V, N, & M) at the centroid of a section taken 8 m TO THE RIGHT OF THE LEFT END OF THE BEAM (4 m to the right of point A). 40 kN- A B 13 78 KN

Elements Of Electromagnetics

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Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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### Beam-Tank Assembly Analysis

A 15-meter long beam-tank assembly supports the loading shown **in addition to its weight**, which is a uniform distributed load of 800 N per meter. The beam is integrated into a cylindrical tank, with cross-sectional details provided.

#### Tank Specifications:
- **Outer Diameter:** 166 mm
- **Inner Diameter:** 152 mm
- **Gage Pressure:** 320 kPa

#### Pin Connection:
- The pin is located 60 mm up from the bottom of the beam.

#### Objective:
Determine the internal forces (V = Shear Force, N = Axial Force, M = Bending Moment) at the centroid of a section taken 8 meters to the right of the left end of the beam (4 meters to the right of point A).

#### Diagram Explanation:
- **Forces Acting on the Beam:**
- A 40 kN force is acting to the left at the start of the beam.
- A 78 kN force is acting downwards at the end of the beam, at an angle depicted but not specified.

- **Distances:**
- The distance from point A to the 8-meter mark is shown.
- Point A to point B is between supports, measuring 4 meters.
- Total length: 15 meters.

This setup helps analyze structural stability and calculate internal forces at specified points, critical for ensuring safe design and operation.

### Problem Statement

For a point “D” that is located on the outer edge of the tank (as shown on the cross section), on section d-d that is 8 meters to the right of the left end of the beam (4 meters to the right of point “A”):

Determine the following:

(a) Principal stresses (in MPa)

(b) Maximum in-plane shear stress (in MPa)

(c) Principal angle (in degrees)

### Diagram Analysis

A cross-sectional view of a mechanical component is shown. It includes the following dimensions:

- The outer frame is L-shaped with:
- A vertical section measuring 40 mm in thickness and 240 mm in height.
- A horizontal section measuring 40 mm in thickness and 200 mm in length.
- An internal vertical clearance of 20 mm.

- Within the L-shaped frame, there is a circular section with a diameter fitting within the internal bounds, positioned centrally.

- The point “D” is located at the outer circumference of the circular section, indicating an area of interest for stress analysis.

- A rectangular cutout is detailed at the lower right, measuring 20 mm by 150 mm.

This setup is typically analyzed for stress distribution along the point and sections described, a critical step in structural engineering and mechanics.

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