the deflection of a beam whose length is 6 m with the modulus of elasticity of E = 200 GPa and I = 98.0 ✕ 106 mm4. The beam is designed to carry a load of 13,000 N/m.What is the maximum deflection of the beam (in m)? (Enter the y-value where the beam is deflected the most.) The cantilevered beam shown in the figure below is used to support a load acting on a balcony.y =XThe deflection of the centerline of the beam is given by the following equation-wx²24EIwhere we have the following.(x2 - 4Lx + 6L2),X =WLy = deflection at a given x location (m)W = distributed load (N/m)E = modulus of elasticity (N/m²)I = second moment of area (m²)L = length of the beam (m)distance from the support as shown (m)

Given data: E = 200 GPa = 200×109 N/m2 I = 98×106 mm4 = 98×10-6 m4 distributed load, w = 13000 N/m…

Answered: the deflection of a beam whose length…

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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Subject :- mechanical engineering
and y vs. y (phase plot) 4. Consider the deflection v of the beam to the right. The beam is supported at each end and sags due to its own weight (a distributed load q = 50 kN/m). The equation describing the deflection is d'u qx (x- L) dx 2EI where L=5.0 m, I = 0.0052 m* and E = 1.0x1010 Pa. Use the method of your choosing (shooting or finite differences) to solve for: 1) the slope at each end of the beam; 2) the maximum deflection; and 3) the location of maximum deflection.
Point D is the fixed end of the cantilever beam shown in the figure and point A is its free end. Determine the vertical deflection at point C due to the applied concentrated load shown in the figure using Castigliano's theorem. Use [EI = 10^6 Nm ]

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the deflection of a beam whose length is 6 m with the modulus of elasticity of E = 200 GPa and I = 98.0 ✕ 106 mm4. The beam is designed to carry a load of 13,000 N/m. What is the maximum deflection of the beam (in m)? (Enter the y-value where the beam is deflected the most.)