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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- 4 m A 8 m B 3m 12 What is the magnitude of the shear stress due to the shear 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)? 13 78 KN 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"),

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 8 m B 3m 12 What is the magnitude of the shear stress due to the shear 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)? 13 78 KN 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"),

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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**Transcription for Educational Website** --- **Diagram Description:** This diagram illustrates a sectional view of a right-angled configuration containing a circle. The structure is made up of two perpendicular rectangular sections, with the circle positioned such that it touches the inner edges. **Dimensions and Features:** - **Outer Rectangle (L-Shape):** - **Vertical Section:** - Height: 240 mm - Thickness: 40 mm - **Horizontal Section:** - Length: 200 mm - Thickness: 20 mm - **Circle:** - Positioned inside the L-shaped configuration. - Point D is marked on the circumference of the circle. - **Inner Rectangle (Space for Circle):** - **Vertical Clearance:** - Distance from top of the inner edge to the circle: Calculated by subtracting circle's diameter from total height of outer rectangle. - **Horizontal Clearance:** - From the vertical wall to the circle: Similarly calculated. - **Base and Side Margin:** - 20 mm from the wall/base to the edge. This arrangement demonstrates basic geometric positioning within a restricted boundary, examining clearances and fitting inside an L-shaped constraint. Understanding these measurements is crucial in fields like engineering and design where precise fitting and spatial awareness are required.
Transcribed Image Text:**Transcription for Educational Website** --- **Diagram Description:** This diagram illustrates a sectional view of a right-angled configuration containing a circle. The structure is made up of two perpendicular rectangular sections, with the circle positioned such that it touches the inner edges. **Dimensions and Features:** - **Outer Rectangle (L-Shape):** - **Vertical Section:** - Height: 240 mm - Thickness: 40 mm - **Horizontal Section:** - Length: 200 mm - Thickness: 20 mm - **Circle:** - Positioned inside the L-shaped configuration. - Point D is marked on the circumference of the circle. - **Inner Rectangle (Space for Circle):** - **Vertical Clearance:** - Distance from top of the inner edge to the circle: Calculated by subtracting circle's diameter from total height of outer rectangle. - **Horizontal Clearance:** - From the vertical wall to the circle: Similarly calculated. - **Base and Side Margin:** - 20 mm from the wall/base to the edge. This arrangement demonstrates basic geometric positioning within a restricted boundary, examining clearances and fitting inside an L-shaped constraint. Understanding these measurements is crucial in fields like engineering and design where precise fitting and spatial awareness are required.
### Beam-Tank Assembly with Distributed Load #### Problem Description A 15-meter long beam-tank assembly supports loading in addition to its own weight, with a uniform distributed load of 800 N per meter. The beam is integrated into a cylindrical tank, with cross-section details provided separately. #### Specifications - **Tank Dimensions:** - Outer diameter: 166 mm - Inner diameter: 152 mm - **Internal Pressure:** - Gage pressure of the substance: 320 kPa - **Pin Connection:** - Location: 60 mm up from the bottom of the beam #### Objective Determine the internal forces (shear force V, normal force N, and bending moment M) at the centroid of a section 8 meters to the right of the left end of the beam (4 meters to the right of point A). #### Diagram Explanation - A beam is shown with specified loading: - A 40 kN force acts at the left end. - A 78 kN force acts at the right end at an angle of 12/13 horizontally and 5/13 vertically. - The beam is supported at two points: A and B, separated by an 8-meter span, followed by an additional 3 meters to the right end. #### Analysis Tasks 1. **Determine Shear Stress (MPa):** Using the cross section on section d-d: - (a) For point E: 15 mm down from the top surface - (b) For point G: 50 mm up from the bottom surface - (c) For point D: On the outer edge of the tank This comprehensive evaluation involves calculating stress distributions across specific points on the beam, considering both external forces and internal pressures. For detailed cross-sectional analysis, refer to the following page which contains necessary diagrams and dimensions.
Transcribed Image Text:### Beam-Tank Assembly with Distributed Load #### Problem Description A 15-meter long beam-tank assembly supports loading in addition to its own weight, with a uniform distributed load of 800 N per meter. The beam is integrated into a cylindrical tank, with cross-section details provided separately. #### Specifications - **Tank Dimensions:** - Outer diameter: 166 mm - Inner diameter: 152 mm - **Internal Pressure:** - Gage pressure of the substance: 320 kPa - **Pin Connection:** - Location: 60 mm up from the bottom of the beam #### Objective Determine the internal forces (shear force V, normal force N, and bending moment M) at the centroid of a section 8 meters to the right of the left end of the beam (4 meters to the right of point A). #### Diagram Explanation - A beam is shown with specified loading: - A 40 kN force acts at the left end. - A 78 kN force acts at the right end at an angle of 12/13 horizontally and 5/13 vertically. - The beam is supported at two points: A and B, separated by an 8-meter span, followed by an additional 3 meters to the right end. #### Analysis Tasks 1. **Determine Shear Stress (MPa):** Using the cross section on section d-d: - (a) For point E: 15 mm down from the top surface - (b) For point G: 50 mm up from the bottom surface - (c) For point D: On the outer edge of the tank This comprehensive evaluation involves calculating stress distributions across specific points on the beam, considering both external forces and internal pressures. For detailed cross-sectional analysis, refer to the following page which contains necessary diagrams and dimensions.
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