h F The beam of length 5.9 (m) and cross section base 0.10 (m) and height 0.16 (m) shown is made of plain steel with a modulus of elasticity of 200 (Gpa) and an ultimate strength of 400 (Mpa). The load is 250 (N) and the point q is 4.0 (m) from the wall in the x direction. What is the magnitude of vertical deflection of the beam

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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The diagram depicts a horizontal beam of length \(5.9 \, \text{m}\) with a rectangular cross-section having a base of \(0.10 \, \text{m}\) and a height of \(0.16 \, \text{m}\). This beam is made of plain steel, characterized by a modulus of elasticity of \(200 \, \text{GPa}\) and an ultimate strength of \(400 \, \text{MPa}\).

The beam is fixed at one end, and a force \(F\) is applied vertically downward on the other end. The beam deflects under this load, with the deflection denoted as \(\delta(x)\) at a distance \(x\) from the fixed end. The force exerted on the beam is \(250 \, \text{N}\).

The point \(q\) is located \(4.0 \, \text{m}\) from the wall in the x-direction. The objective is to determine the magnitude of the vertical deflection of the beam at point \(q\), expressed in meters. The problem requires knowledge in the field of mechanics of materials and deflection of beams, specifically using formulas derived from material properties and structural geometry.
Transcribed Image Text:The diagram depicts a horizontal beam of length \(5.9 \, \text{m}\) with a rectangular cross-section having a base of \(0.10 \, \text{m}\) and a height of \(0.16 \, \text{m}\). This beam is made of plain steel, characterized by a modulus of elasticity of \(200 \, \text{GPa}\) and an ultimate strength of \(400 \, \text{MPa}\). The beam is fixed at one end, and a force \(F\) is applied vertically downward on the other end. The beam deflects under this load, with the deflection denoted as \(\delta(x)\) at a distance \(x\) from the fixed end. The force exerted on the beam is \(250 \, \text{N}\). The point \(q\) is located \(4.0 \, \text{m}\) from the wall in the x-direction. The objective is to determine the magnitude of the vertical deflection of the beam at point \(q\), expressed in meters. The problem requires knowledge in the field of mechanics of materials and deflection of beams, specifically using formulas derived from material properties and structural geometry.
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