El = 2.5(1010) N.cm?El = 1.5(1010) N.cm?El = 1.3(1010) N.cm?6m4m2m2.5(10°)2.5(10°)1.5(10°)Figure. 1: Simply supported beam subjected to moment distributionCritically analyse the finite element product and systems model that help to find and solve the problem shown inFigure.1 by performing the following steps:Construct one-dimensional elements line (i.e., grid/mesh line), make the correct numbering and labeling ofnodes and elements.b. Construct grid/mesh information tablec.. Write the shapes function, N; and N; for each element (e) and plot the shape function diagramа.d. Construct the weight functions for the one-dimensional elements' line/mesh.Calculate the nodal deflection values and the distribution through each element using element matrices-е.Galerkin's method.f. Would you increase (refine) the number of nodes/elements for this problem, explain you answer?g. Justify your mesh/grid divisions for this problem in terms of complication of geometry or materialscompositions.h. Estimate the deflection at x = 8.0 as well as the rate of deflection for the corresponding elementM(x) N.cm Problem 3: For the simply supported beam and the moment distribution shown in Figure.1, the governingdifferential equation for the boundary value problem is given by:d2ØEI -M(x) = 0, Ø(0) = 0 and Ø(12) = 0-dx?

Given That As this is Simply Supported Beam We are using method of Finite element Method ***As per…

a. Construct one-dimensional elements line (i.e., grid/mesh line), make the correct numbering and labeling of nodes and elements. b. Construct grid/mesh information table c. Write the shapes function, N; and N; for each element (e) and plot the shape function diagram

a. Construct one-dimensional elements line (i.e., grid/mesh line), make the correct numbering and labeling of nodes and elements. b. Construct grid/mesh information table c. Write the shapes function, N; and N; for each element (e) and plot the shape function diagram

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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Example 5: Draw the shear force and bending moment diagrams for the simply supported beam as shown below. 400 N 500 N 300 N A 3m 4m 4m 5m
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7 The Questions Question 4. X Given, B cere RD 26.25 C F = 90 kN, UDL = 40 kN/m UDL The above figure (not drawn to scale) shows a 6 m long beam subjected to a force F and a uniformly distributed load UDL. kN D 補 I»I»I»] Length X = 2m, Length Y= 0.5 m Calculate RB and RD, the vertical reaction forces at the supports. Enter your answers in kilonewtons (kN), correct to 3 decimal places, in the boxes below. RB
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Example 5: Draw the shear force and bending moment diagrams for the simply supported beam as shown below. 400 N 500 N 300 N to A E 3m 4m 4m 5m
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A simply supported Aluminium beam of length 18m is subjected to concentrated loads of 15 KN amd12KN ,in addition to a uniform distributed load of 50 kN/m as shown in figure 1. Assuming the weight of the beam is neglected, calculate the following: A) Replace the distributed load with an equivalent concentrated load.B) Sketch a suitable free body diagram of the beam showing all forces and reaction forces at the supports.C) Determine the reaction forces at the fixed pin support A and roller support at point B by applying the equations of equilibrium (Clearly annotate all calculations).D) If the beam in Figure.1 was applied to temperature variation Δ? such that the temperature changes from ?1=280.20? to ?2=293.40 k , find the new length of the beam (Given the coefficient of linear expansion of Aluminium is α = 23×10−6K−1).E) Then suppose the same beam temperature changes from 40 Cº to 10 Cº, explain how this will affect the length of the beam?