For given distributed loads, see figures below, determine resultant and moments around load ends (points A and B). Assume \( p = 2kN/m \).The image contains several diagrams labeled from (a) to (i), each illustrating beams with distributed loads. Points A and B mark the ends of these beams, with each figure specifying the magnitude and position of loads.### Descriptions:#### a) - A uniform distributed load of \( 2p \) acts across a 4m span from A to B.#### b) - A triangular distributed load starts at A with 0 load and increases linearly to \( 3p \) at B over a span of 4m.#### c) - A triangular load increases linearly from 0 at A to \( 3p \) at B over a span of 10m.#### d) - A triangular load decreases linearly from \( 2p \) at A to \( 0 \) at B over a 6m span.#### e) - Two rectangular loads of \( 2p \) each are placed at the ends A and B, over a total span of 12m, with an 8m gap in between.#### f) - A trapezoidal load with two \( 2p \) peaks over a span of 6m, with portions marked as 2m each at the start, middle, and end.#### g) - A semi-circular load distributed over a 20m span, with a peak load of \( 2p \) in the center.#### h) - A parabolic load with a peak load of \( 2p \) in the center over a 7m span.#### i) - A triangular load starting at \( 1.5p \) at A and increasing to \( 5p \) at B over a span of 12m.Each diagram illustrates different types of distributed loads, representing varying real-world load scenarios for analysis.

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For given distributed loads, see figures below, determine resultant and moments around load ends (points A and B). Assume p = 2kN/m. 2p a) 4m 2p B Р A b) 4m V 3p B c) 10m A 3p B

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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Concept explainers

Types of loading

In mechanical terminology, the term load indicates that external force/weight, either constant or variable, acts on a mechanical member/structure. The weight of an object of a specific material is also an external load, and the external force that works on a structure comes under the categories of loading. The external load generates its effects as stress and strain in the structure.

Question

For given distributed loads, see figures below, determine resultant and moments around load ends (points A and B). Assume \( p = 2kN/m \).

The image contains several diagrams labeled from (a) to (i), each illustrating beams with distributed loads. Points A and B mark the ends of these beams, with each figure specifying the magnitude and position of loads.

### Descriptions:

#### a)
- A uniform distributed load of \( 2p \) acts across a 4m span from A to B.

#### b)
- A triangular distributed load starts at A with 0 load and increases linearly to \( 3p \) at B over a span of 4m.

#### c)
- A triangular load increases linearly from 0 at A to \( 3p \) at B over a span of 10m.

#### d)
- A triangular load decreases linearly from \( 2p \) at A to \( 0 \) at B over a 6m span.

#### e)
- Two rectangular loads of \( 2p \) each are placed at the ends A and B, over a total span of 12m, with an 8m gap in between.

#### f)
- A trapezoidal load with two \( 2p \) peaks over a span of 6m, with portions marked as 2m each at the start, middle, and end.

#### g)
- A semi-circular load distributed over a 20m span, with a peak load of \( 2p \) in the center.

#### h)
- A parabolic load with a peak load of \( 2p \) in the center over a 7m span.

#### i)
- A triangular load starting at \( 1.5p \) at A and increasing to \( 5p \) at B over a span of 12m.

Each diagram illustrates different types of distributed loads, representing varying real-world load scenarios for analysis.

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