A cantilever, 2.6m long, carrying a uniformly distributed load w along the entire length, is propped at its free end to the level of the fixed end. If the load on the prop is then 30 kN, calculate the value of w. Determine also the slope of the beam at the support. If any formula for deflection is used it must first be proved. Take E = 210 GN/m² and 1 = 4*10 m².

A cantilever, 2.6m long, carrying a uniformly distributed load w along the entire length, is propped at its free end to the level of the fixed end. If the load on the prop is then 30 kN, calculate the value of w. Determine also the slope of the beam at the support. If any formula for deflection is used it must first be proved. Take E = 210 GN/m² and 1 = 4*10 m².

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

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

A cantilever, 2.6m long, carrying a uniformly distributed load w along the
entire length, is propped at its free end to the level of the fixed end. If the
load on the prop is then 30 kN, calculate the value of w. Determine also
the slope of the beam at the support. If any formula for deflection is used
it must first be proved. Take E = 210 GN/m² and 1 = 4*10 m².

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Step 1: Determine the value of w and slope of the beam at support.

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Step 2: Determine deflection at B due to uniform distributed load.

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Step 3: Determine deflection at B due to load 30 kN.

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Step 4: Calculate the value of uniform distributed load w and the slope at support.

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