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5. CABLES

The chapter discusses the mechanics of cables and their response to loads, detailing the concept of funicular polygons, the effects of uniform loads, and the differences in behavior under distributed loads vs. specific configurations. It illustrates the mathematical relationships involved in cable tension and deformation under various forces while providing practical examples for calculation and understanding.

Sections

CABLES

This section discusses the properties and behavior of cables, including their capacity to transmit tensile forces and the shape they take under various loads.

5 Section Overview

Start current section content and materials

5.1 Funicular Polygons

This section discusses the characteristics and significance of funicular polygons in cable systems, emphasizing their role in transmitting tensile forces and resisting vertical loads.

5.2 Uniform Load

This section explains the behavior of cables under uniform distributed loads, including the shape they take and the forces involved.

5.2.1 qdx; Parabola

This section covers the parabolic configuration of cables subjected to uniform distributed loads, detailing the relationship between load, tension, and cable shape.

Learning Objectives

  • Cables primarily transmit tensile forces and resist vertical loads through sagging.

  • The horizontal component of tension in cables remains constant when only vertical loads are applied.

  • Cables shaped under uniform loads can form parabolic shapes and are influenced by their own weight, leading to complex tension calculations.

Key Concepts

Funicular Polygon

A geometric figure representing the shape a cable takes when subjected to loads, characterized by a series of linear segments.

Tension (T)

The pulling force transmitted along the length of a cable, which can be decomposed into horizontal and vertical components.

Sag (h)

The vertical distance a cable deflects from its support points under loading, essential for determining the shape and tension within a cable.

Catenary

The curve a flexible cable assumes under its own weight when supported at its ends, differing from the parabola which describes the shape under uniform load.

Practice Exercises

Total Questions

2

Estimated Time

4 min

Passing Score

70%

Instructions

  • Read each question carefully
  • You can use hints if you need help
  • Complete all questions before submitting

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