59712.2 SLOPE AND DISPLACEMENT BY INTEGRATION12-23. Determine the equations of the elastic curve usingthe coordinates x, and x,. What is the deflection and slopeat C? EI is constant.ВMoX2LProb. 12-23*12-24. Determine the equations of the elastic curveusing the coordinates x1 and x2. What is the slope at A? EI isconstant.

The expression that can be obtained after applying moment on section AB is, ∑M=0RAx1+M1=0M1=-MoLx1…

Answered: 12-23. Determine the equations of the…

12-23. Determine the equations of the elastic curve using the coordinates x1 and X2. What is the deflection and slope at C? EI is constant.

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

See similar textbooks

Related questions

Q: Determine the equation of the elastic curve and the maximum deflection of the simply supported beam.…

A: The section of the beam is shown below: From the figure, the momentum at the end is zero.…

Q: 12-83. The W250 × 22 cantilevered beam is made of A-36 steel and is subjected to the loading shown.…

A: The free body diagram of the loaded beam is shown below:

Q: H.W1 The beam is subjected to the linearly varying istributed load. Determine the maximum deflection…

A: Given Length = L Load, P = w0 Find Deflection

Q: Q.1 The beam below is loaded unsymmetrically. Determine the slope at A (OA)and deflection (A) at the…

Q: Part A- woa Determine the slope of the beam at c = a is assuming EI w = 6wo-

Q: 16-54. Determine the slope at A and the deflection at point C of the simply supported beam. The…

A: Given: The elasticity of the wood, E = 10 GPa = 10x10-10 m The depth of the beam, d = 200 mm The…

Q: Determine the equations of the elastic curve for the shaft using the x1 and x2 coordinates. Take El…

Q: 13-35. The block is subjected to the eccentric load shown. Determine the normal stres developed at…

A: Given Data: The dimension of the cross-section of the block is: l X b = 150 mm X 100 mm The force…

Q: 16-51. Detemine the vertical deflection and slope at the cnd A of the bracket. Assume that the…

Q: 16-13. Determine the maximum delflection of the beam and the slope at A. El is constant. M. M. в

Q: The two bars are pin connected at D. Determine the slope at A and the deflection at D. EI is…

Q: 16-53. Determine the vertical deflection at the end A of the bracket. Assume that the bracket is…

A: Draw the loading diagram of the bracket. Consider a section x - x at a distance x from the free…

Q: Determine the slope at C and deflection at B. EI is constant.

A: Given Data: The cantilever beam is subjected to uniformly distributed load w at the second half of…

Q: R16-6. If the cantilever beam has a constant thickness t, determine the deflection at cnd A. The…

A: Consider a dummy load P applied at the end free end of the cantilever as show in the figure below.…

Q: 16-49. The simply supported beam is made of A-36 steel and is subjected to the loading shown.…

A: Assumptions E = 200 GPa I = 0.1457×10-3 m4 Deflection at centre can be determined as

Q: 16-6. Determine the elastic curve for the cantilevered beam, which is subjected to the couple moment…

A: The moment about the section that is x distance from a fixed point, The expression of the moment…

Q: Determine the equations of the elastic curve using the coordinates x1 and x2. EI is constant.

A: The reactions at supports A and C will be given as follows,

Q: 20 2P A: find the value and the position of max. B deflection. 3L 4. 3m P=10 KN, L=4m

A: To determine the value and position of maximum deflection.

Q: 6 kN Use the moment-area theorems and determine the slope at A and deflection at A. EI is constant.…

Q: *16-28. Determine the skope at end B and the maximum deflection of thc cantilever triangular plate…

A: Consider the diagram shown below for a cross-section of the beam at a distance of x from the apex.

Q: 17-42. The ideal column is subjected to the force F at its midpoint and the axial load P. Determine…

Q: 16-10. Determine the equations of the elastic curve using the coordinates x, and xz What is the…

Q: as a I loading that is linearly distributed from w th a fixed support at A. Added support is su = 18…

A: given:wa=470lb/ftwc=260lb/fta=18ftL=23ftP=5000lb

Q: The floor beam of the airplane is subjected to the loading shown. Assuming that the fuselage exerts…

A: Total Forces about vertical is zero ∑FY=0RA+RB=808=640∑BM=0RA12=8086RA=320 lbRB=320 lb Take moment…

Q: *16-4. Determine the equation of the elastic curve for the beam using the x coardinate that is valid…

A: Considering the reaction force at A and B is RA an RB respectively since loading on the beam is…

Q: Determine the slope at A and the maximum deflection of the simply supported beam. EI is constant.

A: The reaction force will not develop in the beam as there is no external force is applied. Taking a…

Q: 12-5. If the wide-flange beam is subjected to a shear of V = 30 kN, determine the maximum shear…

A: In the given problem, Maximum shear stress will be calculated using the formulae Max. Shear stress =…

Q: 16-25. Determine the elastic curve in terms of the x, and I, coordinates and the deflection of end…

Q: Determine the equations of the elastic curve for the shaft using the x, and x, coordinates. Take El…

Q: Determine the equations of the elastic curve for the beam using the x1 and x2 coordinates. EI is…

A: Take moment about a fixed point M(X1)+PL2-Px1=0M(x1)=Px1-PL2 M(x2)=0 M(x)=EId2vdx2

Q: 16-23. Determine the equations of the elastic curve using the coordinates a and 1z. What is the…

A: Solution: Taking Moment at point B is = 0 VA×L+M0=0VA=MOL We know ∑Y=0VA+VB=0VB=-M0L

Q: 11-86. If the overhanging beam is made of wood having the allowable tensile and compressive stresses…

A: Free body diagram of the given beam ∑MA = 0By×2 = 3PBy = 3P2∑Fy = 0Ay+By = PAy = P-ByAy = P-3P2Ay…

Q: The weight of 175 lb is dropped from a height of 4 ft from the top of the A992 steel beam. Determine…

A: Write the properties of the given beam. Write the expression for the stiffness of the beam and…

Q: 16-15. The beam is subjected to the linearly varying distributed load. Determine the maximum…

A: The free body diagram of the beam is as follows: Calculate the moment about point A is as follows:…

Q: Determine the reaction at the roller support and the deflec-tion at point D if a is equal to L/3.

A: Given: Propped cantilever beam as shown in figure To determine: Reaction at the roller support…

Q: Determine the slope at A and the maximum deflection of the beam. EI is constant.

A: Given: EI is constant To determine: The slope at A The maximum deflection of the beam

Q: 12-11. The overhang beam is subjected to the uniform distributed load huving an intensity of w = 50…

A: Let us find the reaction forces for the given beam: Here,Uniformly distributed…

Q: *RI6-8. Using the method of supeīposition, determinc the magnitude of Mo in terms of the distributed…

A: Given the deflection at the center of the beam is zero.∆C=0 Let ∆C1,∆C2,∆C3 are the deflections at C…

Q: 8–7. Determine the equations of the elastic curve using the x and x2 coordinates. EI is constant.…

A: Data given - A beam with a load P Need to determine equation of elastic curve using x1 & x2…

Q: Determine the equation of the elastic curve. Specify the slopes at A and B. EI is constant.

A: First. draw the free body diagram of the beam, Now calculate the reactions at point B RB by…

Q: Determine the equations of the elastic curve for the shaft using the x, and x2 coordinates. Take El…

Q: 12-22. Determine the elastic curve for the cantilevered W14 X 30 beam using the x coordinate.…

Q: 16-22. Determine the elastic curve for the cantilevered W360 x 45 beam using the x coordinate.…

A: Data given- W360 × 45 beam E = 200 Gpa Uvl = 50 kN /m

Q: Determine the deformation of the entire beam. Consider that EI1 = 2EI3 and EI2 = 3EI3

Q: Determine the deflection at the end B of the clamped A-36 steel strip. The spring has a stiffness of…

A: Stiffness = 2 N/mm Load = 50 N width = 5 mm height = 10 mm

Q: 13-14. The ring, having the dimensions shown, is placed over a flexible membrane which is pumped up…

A: Given Data: The pressure inside the flexible membrane is, p. The inner radius of the ring is, ri.…

Q: Using IPE shape, design the beam shown. Neglect Vy. F= 13AN, L= Im, o1 = 120MP.. M. B L.

A: For solution refer below images.

Q: 14-32. The wide-fange beam is subjected to the loading shown. Determine the principal stres in the…

A: Given data To determine principal stresses in the beam at point A located at top of the web?

Concept explainers

Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.

Question

597
12.2 SLOPE AND DISPLACEMENT BY INTEGRATION
12-23. Determine the equations of the elastic curve using
the coordinates x, and x,. What is the deflection and slope
at C? EI is constant.
В
Mo
X2
L
Prob. 12-23
*12-24. Determine the equations of the elastic curve
using the coordinates x1 and x2. What is the slope at A? EI is
constant.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Step 6

Trending now

This is a popular solution!

Step by step

Solved in 6 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Determine the magnitude of the maximum deflection using doubleintegration method. Use E = 200 x10^6 KPa and I = 1.440 x10^-5 m4
Determine the maximum deflection of the beam using CONJUGATE BEAM METHOD. EI is constant with E=30 GPa, I=90x10^6 mm^4
Determine the mid support deflection and the overhang deflection if E= 200GPa I= 1350x10^6 mm^4
13.62 A bumper made of a hard spring is to stop a 30ton gondala car which is traveling at 4ft/s as shown. Such a spring developes a restoring force F=100x+12x^3 kips when it si compressed by an amount of x ft. Determine the maximum deflection of the bumper.
consider the cantilevered W14 x 30 beam shown E = 29(103) ksi, I = 291 in4 determine the expression for the elastic curve using the coordinate x for 0 < x < 9 ft, where x is in feet. v in ft answer in terms of x determine the maximum slope of the beam, measured counterclockwise from the positive x axis. Theta max in rad. determine the maximum deflection of the beam. Vmax in ft.
In the beam, which is given the loading and supporting status below a) Find the location of the largest crash and the value of the crash. b) What is the maximum length of the beam (L) so that the largest collapse value is less than 1.5 mm? E = 210 GPa Mo = 250 kNm I = 556x10-6 m4
Determine the equation of the elastic curve and the deflection at point ?. Consider ?? constant.
A simply-supported beam, 9 m in length, is subjected to a uniform load of 20 kN/m applied at the beam's middle third. Determine the deflection at x = 7.5. Answer: _____/EI
Using moment-area method, determine the angle of rotation and deflection 10 ft from “A”. EI is constant
Determine the maximum deflection of the simply supported beam. E = 200 GPa and I = 39.9(10-6) m4.
The beam safely supports shear forces and bending moments of 2kN and 6.5 kN-m respectively. Based on this criterion, can it be safely subjected to the loads F = 1kN and C = 1.6 kN-m?
Determine the deflection curve, the length, and the maximum tension in theuniform cable shown below. The cable has a weight per unit length weightof ω0 = 12 N/m.