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1. For given distributed loads, see figures below, determine resultant and moments around load ends (points A and B). Assume p = 2kN/m. 2p A 2p A 2p A a) d) g) 4m 6m 2p 20m 2p B B 2p 2p B Р A 2p Al 2p A KA b) e) h) 4m 8m 12m 2p 7m 3p B 2p J2mB 2p B A A A C) 2p 2m f) 1) 10m → 2m 6m 1.5p- 12m 3p B B 5p B

1. For given distributed loads, see figures below, determine resultant and moments around load ends (points A and B). Assume p = 2kN/m. 2p A 2p A 2p A a) d) g) 4m 6m 2p 20m 2p B B 2p 2p B Р A 2p Al 2p A KA b) e) h) 4m 8m 12m 2p 7m 3p B 2p J2mB 2p B A A A C) 2p 2m f) 1) 10m → 2m 6m 1.5p- 12m 3p B B 5p B

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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For given distributed loads, see figures below and determine resultant forces and moments around load ends (points A and B). Assume \( p = 2 \, \text{kN/m} \). ### Diagram Descriptions: **a)** - A beam (4 m) under a uniform load of \( 2p \) at both ends (A and B). **b)** - A beam (4 m) with a linearly increasing load from \( p \) at A to \( 3p \) at B. **c)** - A beam (10 m) with a linearly increasing load from 0 at A to \( 3p \) at B. **d)** - A beam (6 m) under a triangular load, decreasing from \( 2p \) at A to zero at a point 3 m along the beam and then increasing back to \( 2p \) at B. **e)** - A beam (12 m) with two concentrated loads of \( 2p \) positioned 8 m from A and at B. **f)** - A beam (6 m) with two rectangular loads of \( 2p \) each, first 2 m long at A, and second 2 m long with a gap between them. **g)** - A beam (20 m) with a parabolic load distribution peaking at the center with a magnitude of \( 2p \). **h)** - A beam (7 m) with a uniform downward load of \( 2p \) across the entire length. **i)** - A beam (12 m) with a trapezoidal load starting from \( 1.5p \) at A and increasing to \( 5p \) at B. Each diagram represents different loading conditions, which must be analyzed to find the resulting forces and moments at points A and B.
Transcribed Image Text:For given distributed loads, see figures below and determine resultant forces and moments around load ends (points A and B). Assume \( p = 2 \, \text{kN/m} \). ### Diagram Descriptions: **a)** - A beam (4 m) under a uniform load of \( 2p \) at both ends (A and B). **b)** - A beam (4 m) with a linearly increasing load from \( p \) at A to \( 3p \) at B. **c)** - A beam (10 m) with a linearly increasing load from 0 at A to \( 3p \) at B. **d)** - A beam (6 m) under a triangular load, decreasing from \( 2p \) at A to zero at a point 3 m along the beam and then increasing back to \( 2p \) at B. **e)** - A beam (12 m) with two concentrated loads of \( 2p \) positioned 8 m from A and at B. **f)** - A beam (6 m) with two rectangular loads of \( 2p \) each, first 2 m long at A, and second 2 m long with a gap between them. **g)** - A beam (20 m) with a parabolic load distribution peaking at the center with a magnitude of \( 2p \). **h)** - A beam (7 m) with a uniform downward load of \( 2p \) across the entire length. **i)** - A beam (12 m) with a trapezoidal load starting from \( 1.5p \) at A and increasing to \( 5p \) at B. Each diagram represents different loading conditions, which must be analyzed to find the resulting forces and moments at points A and B.
3. Using the solution developed above, redo all 9 load distributions, and use those solutions to check your work in problem #1. 4. For rigid bodies, structural systems shown in the figure below, determine reaction forces and moments from all 9 loads defined above. For the second case, assume that the left support is at an angle of 5° from vertical. Other inclined supports are at 45° from vertical. **Diagrams:** - **First Diagram:** A horizontal beam with supports angled outward at both ends. - **Second Diagram:** A horizontal beam with a vertical support descending downwards from the left endpoint and an angled support at the right endpoint. - **Third Diagram:** A horizontal beam with simple triangular supports placed underneath both ends. These configurations are used to determine reaction forces and moments for given structural loads.
Transcribed Image Text:3. Using the solution developed above, redo all 9 load distributions, and use those solutions to check your work in problem #1. 4. For rigid bodies, structural systems shown in the figure below, determine reaction forces and moments from all 9 loads defined above. For the second case, assume that the left support is at an angle of 5° from vertical. Other inclined supports are at 45° from vertical. **Diagrams:** - **First Diagram:** A horizontal beam with supports angled outward at both ends. - **Second Diagram:** A horizontal beam with a vertical support descending downwards from the left endpoint and an angled support at the right endpoint. - **Third Diagram:** A horizontal beam with simple triangular supports placed underneath both ends. These configurations are used to determine reaction forces and moments for given structural loads.
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Hi could you also please give the solution to d, e, f, g, h, i?  I am stuck on those right now.

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