Determine the horizontal displacement of pointD in the system shown in the figure usingCastigliano's Method. L = 2m Note: Consideronly the effect of the bending moment.Parameter: P = 9 kNHorizontal displacement:D,horizontalPL/8D P2E1L/2¡EIBEI4PLL

The partial derivative of the total strain energy of a structure with respect to a specific force…

Answered: Determine the horizontal displacement…

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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The bending moment in a horizontally placed beam at distance x from one of the ends is given by the expression M = 13x - 3x - 12 . The shear force in the beam is zero at, O a. x = 7.12 O b.x = 3 and x = 1.33 O C. X = 2.16 O d. Need more data and a figure to solve the problem.
y 1/4 F₁ X1 (У1 Y₂ Y₁ 1/4 F2 X2 1 Matrix and Determinants Displacement y = y(x) 9 11 :) = *- ( ²17 1/4 3 7 11 1/4 Y₂ Уз F3 X3 1 7 K 11 16 11 F₂ F Due to three forces F₁, F2 and F3 applied perpendicular a beam is displaced, as indicated in 1/4 the figure. The relationship between the applied forces and the displacements can be expressed as X with K = = [³ 768 E I For the three forces applied, F₁ = 2000 N, F₂ = 4000 N and F3 = 3000 N, determine the displacements y₁, Y2 and y3. Assume a beam length | = 1 m, and the product E-I = 5.10¹0 N/mm². Use for your calculations two decimal places and state your result as a vector including units.
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Example 2 Sketch the SF and Bending Moment diagrams ● A 2m 10kN 3m 8kN 15kN m 22
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Determine the horizontal displacement of point D in the system shown in the figure using Castigliano's Method. L = 2m Note: Consider only the effect of the bending moment. Parameter: P = 9 kN Horizontal displacement: D,horizontal PL/8 D P 2E1 L/2 ¡EI B EI 4P L L