Engineering Computation. Please show all work! EI=2,900,000k-in^2 30 kip-ftAB10 ftBeam 3 i) identify the boundary conditions for shear, moment and displacements.ii) using the equation of the distributed load, develop expressions for predicting shear force V(x) andbending moment M(x) by double integration method.iii) using the elastic beam formula, develop expressions for predicting slope y'(x) and vertical deflectiony(x) by using double integration method.

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Answered: i) identify the boundary conditions for…

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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Deflections after the partial UDL on cantilever beam formula. Here are the inputs: Span: 205mm, UDL: 2 N/mm, UDL start: 100mm, UDL length: 100mm, Point of interest: 205mm, Elastic modulus: 210000N/mm2, Second moment of area: 4218.75 mm4
I keep on getting weird numbers on this problem. How do I solve it? Thank you so much! I have managed to solve a few things: C1=-4.725 kN*m^2 and C2=0 kN*m^3 Ay=4.5 kN and By=9kN
The cantilever beam is a 300mm long carbono steel bar, with a diameter of 25mm. And it is charged by a force F=400 N. a) Find the maximum defletion using the virtual forces method, including that resulting from shear. b) What error will be introduced if the shear is disregarded? ymax K F T X
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.
Given: L= 1m, F= 500N, c= 100N.m , E= 100Gpa, Po=300N/m Assume v (×)= a( 1-cosx )
The cantilever beam is a 300mm long carbono steel bar, with a diameter of 25mm. And it is charged by a force F=450 N. a) Find the maximum defletion using the virtual forces method, including that resulting from shear. b) What error will be introduced if the shear is disregarded? Ymax + T F X
Use singularity functions to obtain shear force, bending moment, and deflections of the beams for the following 2 cases
a.) Use moment-curvature relationship and double integration method to derive the maximum slope and deflection equation of a simply supported beam of span length L and subjected to uniform load w kN/m. The beam has material and section properties of E and I. b.) Use moment area theorems method to derive the same maximum slope and deflection equations of the beam. w kN/m
Load (N) 30 25 20 15 10 5 0 0 Beam Deflection Data of Steel Load (N) Distance between fulcrum (mm) 400 500 Beam Deflection (mm) 600 5 0.15 0.2 0.3 10 0.2 0.35 0.55 15 0.3 0.5 0.85 20 0.4 0.65 1.1 25 0.5 0.8 1.4 Steel y= 33.333x-1.6667 y = 54.878x-2.0122 ♫ y = 18.164x -0.2576 0.2 0.4 0.6 0.8 1.2 1.4 1.6 1 Beam Deflection (mm) 400 500 A 600 -600 Linear (400) Linear (500) Linear (600) 1) The above are results from a beam bending test for steel, brass and aluminium a) Give an overview of the graph: i) steel ii) brass iii) aluminum b) Discuss and compare between the graphs c) Write a conclusion on your findings Beam Deflection Data of Brass Load (N) 5 10 15 20 25 (N) pео 30 25 20 15 10 5 0 Distance between fulcrum (mm) 400 500 Beam Deflection (mm) 600 0.25 0.6 0.1 0.35 0.6 1.15 0.65 0.98 1.7 0.7 1.35 2.3 0.95 1.65 2.9 y= 23.563x+2.0402 O Brass y 14.064x+1.4145 y = 8.6911x-0.0355 0 0.5 1 1.5 2.5 3 3.5 2 Beam Deflection (mm) 400-500 A A 600 Linear (400) Linear (500) Linear (600) L Beam…
In order to determine the magnitude of the internal forces, a FBD must be cut. It is difficult to determine where a cut should be made in order to reveal the Maximum Internal Forces, thus we have put the distance to the cut in terms of 'x', and plot the equation. In my lecture we took a generic portion of a Beam and applied equilibrium and saw that Loading, Shear and Moment are related to each through differential equations. Change in Shear is the Area under the Loading diagram. Change in Moment is the Area under the Shear Diagram. Using Graphic Integration draw the shear and moment diagrams for the given beams and loading.
Beams, Shear Force and Bending Moment in Beams Problem#3: HOMEWORK Draw Shear Force and Moment diagram II 100lbs 100lbs 2 1 3 5 6 Ra Rb
c) Calculate the equations of internal shear force V(x) and bending moment M(x). Type the mathematical expressions or constants, following the defined sign convection. Section AB: Internal shear force equation: V(x) = Internal bending moment equation: M(x) : Section BC: Internal shear force equation: V(x) Internal bending moment equation: M(x) = = N N N*mm N*mm

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