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 -4 m A 8m (a) What is the normal stress due to the normal force (in MPa)? B What is the bending stress due to the bending moment force (in MPa) (b) for a point "E" that is located 15 mm down from the top surface? (c) for a point "G" that is located 50 mm up from the bottom surface? 3m 13 Using the cross section shown on the next page, on section d-d that is 8 meters to the right of the left end of th beam (4 meters to the right of point "A"), 78 KN

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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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 gauge 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).

**Diagram:**
- A horizontal beam is illustrated with a pin connection at point A and a roller support at point B.
- A uniform distributed load of 800 N/m spans the entire 15-meter length.
- A 40 kN point load is applied at the left end.
- A 78 kN load at a 12/13 angle is applied at the right end.
- Measurements are marked: 4 m from the left to point A, 8 m between points A and B, and 3 m from point B to the right end.

**Using the cross section shown on the next page, 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”), answer the following:**

(a) What is the normal stress due to the normal force (in MPa)?

What is the bending stress due to the bending moment force (in MPa)
(b) for a point “E” that is located 15 mm down from the top surface?
(c) for a point “G” that is located 50 mm up from the bottom surface?
(d) for a point “D” that is located on the outer edge of the tank (as shown on the next page)?
Transcribed Image Text: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 gauge 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). **Diagram:** - A horizontal beam is illustrated with a pin connection at point A and a roller support at point B. - A uniform distributed load of 800 N/m spans the entire 15-meter length. - A 40 kN point load is applied at the left end. - A 78 kN load at a 12/13 angle is applied at the right end. - Measurements are marked: 4 m from the left to point A, 8 m between points A and B, and 3 m from point B to the right end. **Using the cross section shown on the next page, 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”), answer the following:** (a) What is the normal stress due to the normal force (in MPa)? What is the bending stress due to the bending moment force (in MPa) (b) for a point “E” that is located 15 mm down from the top surface? (c) for a point “G” that is located 50 mm up from the bottom surface? (d) for a point “D” that is located on the outer edge of the tank (as shown on the next page)?
This diagram illustrates a geometric configuration involving a circular object encased in an L-shaped bracket. The dimensions of the bracket and the positioning of the circle are clearly annotated.

### Components and Dimensions:
1. **L-Shaped Bracket**: 
   - The vertical segment has a height of 240 mm.
   - It includes a horizontal segment protruding to the right, measuring 200 mm in length.
   - The width of both segments is 40 mm.

2. **Circular Object**:
   - The circle is positioned within the L-shaped bracket, touching its inner edges.
   - The circle has an associated point labeled "D" on its right edge.

3. **Positioning of Components**:
   - The bottom segment of the bracket extends 20 mm from the bottom of the circle to the end of the horizontal segment.
   - The circle’s center aligns with the interior corners of the bracket.

### Additional Information:
- The entire setup appears to be drawn to scale, highlighting the spatial relationship between the circle and the bracket. This configuration could be used for demonstrating principles of geometry or mechanical constraints in an educational setting.
Transcribed Image Text:This diagram illustrates a geometric configuration involving a circular object encased in an L-shaped bracket. The dimensions of the bracket and the positioning of the circle are clearly annotated. ### Components and Dimensions: 1. **L-Shaped Bracket**: - The vertical segment has a height of 240 mm. - It includes a horizontal segment protruding to the right, measuring 200 mm in length. - The width of both segments is 40 mm. 2. **Circular Object**: - The circle is positioned within the L-shaped bracket, touching its inner edges. - The circle has an associated point labeled "D" on its right edge. 3. **Positioning of Components**: - The bottom segment of the bracket extends 20 mm from the bottom of the circle to the end of the horizontal segment. - The circle’s center aligns with the interior corners of the bracket. ### Additional Information: - The entire setup appears to be drawn to scale, highlighting the spatial relationship between the circle and the bracket. This configuration could be used for demonstrating principles of geometry or mechanical constraints in an educational setting.
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