For the beam with overhang shown below, determine the equations of the elastic curve using the xi and x2 coordinates and double integration, and specify the slope at A and the deflection at C. Flexural rigidity EI is constant.

For the beam with overhang shown below, determine the equations of the elastic curve using the xi and x2 coordinates and double integration, and specify the slope at A and the deflection at C. Flexural rigidity EI is constant.

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter9: Deflections Of Beams

Section: Chapter Questions

Problem 9.7.8P: The tapered cantilever beam AB shown in the figure has a solid circular cross section. The diameters...

See similar textbooks

Related questions

Q: For the beam and loading shown, use discontinuity functions to compute (a) the slope of the beam at…

Q: The can tilever beam is subjected to the uniform distributed load w as shown. Determine: a) the…

A: (a) To find: The equation for the elastic curve vx. Given Consider the free body diagram below:

Q: Analyze the statically indeterminate beam shown. Determine all reactions and draw the shear and…

Q: Determine the equation of the elastic curve for the cantilevered beam shown in the figure by using…

Q: A fixed-end beam of length Lis loaded by adistributed load in the form of a cosine curve with…

Q: reactions and draw the shear and bending moment

Q: :) Define the elastic curve formulation y of the beam using Macaulay Function 1) Define support…

Q: consider the beam shown in. EI is constant. assume that EI is in kip * ft2. determine the expression…

A: The free body diagram of the beam is given as the

Q: Calculate the slope at C using ONE of these methods: double integration method, area-moment and…

Q: Determine the slope at point A and the maximum deflection of the simply supported beam. The beam is…

A: The given problem will be solved by using Macaulay's method for finding deflection of beams. This…

Q: Define the elastic curve formulation y of the beam using Macaulay Function ) Define support…

Q: A beam L ft long is fixed at both ends and carries (a) ● eoncentrated load of P lb at the midspan,…

Q: 2Mo B Mo -

A: Given:- Length = L Deflection is the load applied to the body and undergoes deformation.

Q: ompute the slopes at A and C and the deflection at D for the beam shown in Q.2. Also, locate and…

Q: For the beam shown in the diagram, EI is constant. Detemine the slope at Section B and the…

A: Given data For the beam shown in the diagram, El is constant. Determine the slope at Section B and…

Q: The simply supported beam carries a uniformly distributed load over parts of its length. Compute (a)…

Q: beam

Q: Determine the value of the maximum deflection for the given sets of loading of the beam as shown in…

A: RA and RE are the support reaction RA +RE =14+16 =30 moment about point A, 14*1 +10 +16*6 = RE*7 RE…

Q: For the boam and koading shown, determine (a) the equation of the elastic curve for portion AB of…

Q: e the elastic curve for the cantilevered n using the x coordinate. Specify the d maximum deflection.…

Q: Determine the deflection at point C of the beam shown in by the moment-area method.

A: Draw a diagram for the problem showing the support reactions. Here, RA and RB are the reactions at…

Q: E 1.0m- W₁ -2.0m- Situation 3: W₁ = 4 kN - m

A: Given that: W1 = distributed force = 4 kN/m It is required to determine the maximum deflection of…

Q: H.W For the shown beam-column, derive and solve the differential equation of the deflection curve.…

Q: A concentrated load F is applied at the midspan L/2 of this indeterminate beam. Determine the…

A: Draw a free-body diagram of the given beam.

Q: Given the 200mm x 400mm beam with the loading shown, determine: a. the amount of load P applied on…

Q: The simply supported prismatic beam AB carries a uniformly distributed load w per unit length .…

A: The deflection in the beam is predicted as shown below, As the weight given in this problem is…

Q: The supports at points A and B of the beam, which is made of steel with a modulus of elasticity of…

Q: (a) Determine the equation of the elastic curve for the overhanging beam; (b) Calculate the value of…

A: FREE BODY DIAGRAM

Q: For the beam and loading shown, determine the deflection at point C. Use E = 200 GPa.

A: we are given a problem where it is required to solve for deflection at the point of application of…

Q: Using Moment-Area Method, determine the slope at A and B and the deflection at point B of the loaded…

Q: For the beam and loading shown, use the double-integration method to determine (a) the equation of…

A: Given Wo=6kN/mL=5.5mE=195GPaI=140 ×106 mm4I=140×10-6 m4

Q: For the shown beam-column, derive and solve the differential equation of the deflection curve.…

Q: Determine the elastic Curve for the cantilevered beam, which is subjected to the couple

Q: For the beam and loading shown, integrate the load distribution to determine (a) the equation of the…

Q: Problem2 For the beam shown in Fg2 Compute the Slope of the elastic cure at A and C, and the…

Q: Determine the equation of the elastic curve of the following beam with moment atExtreme L- Mo

Q: The simply supported shaft has a moment of inertia of 2I for region BC and a moment of inertia I for…

Question

reply me urgently

For the beam with overhang shown below, determine the equations of the elastic curve
using the xi and x2 coordinates and double integration, and specify the slope at A and the
deflection at C. Flexural rigidity El is constant.
7-7.
8 kip
B
C
20 kip-ft
20 ft
10 ft-

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

Step 7

Trending now

This is a popular solution!

Step by step

Solved in 7 steps with 11 images

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

An aluminum bar having a rectangular cross section (2.0 in. × 1.0 in.) and length L = 30 in. is compressed by axial loads that have a resultant P = 2800 lb acting at the midpoint of the long side of the cross section (sec figure). Assuming that the modulus of elasticity E is equal to 10 × 106 psi and that the ends of the bar are pinned, calculate the maximum deflection and the maximum bending moment Mmax.
Determine the plastic modulus Z and shape factor/for a W 12 x 14 wide-flange beam. Obtain the cross-sectional dimensions and section modulus of the beam from Table F-l(a) in Appendix F.
An overhanging beam ABC of height h has a sliding support at A and a roller at B, The beam is heated to a temperature Tton the top and T2on the bottom (see figure). Determine the equation of the deflection curve of the beam, the angle of rotation 6Cat end C, and the deflection Bfat end C.
The cantilever beam shown in the figure supports a triangularly distributed load of maximum intensity qü. Determine the deflection SBat the free end B. (Obtain the solution by determining the strain energy of the beam and then using Castigliano's theorem.)
The tapered cantilever beam AB shown in the figure has a thin-walled, hollow circular cross sections of constant thickness t. The diameters at the ends A and B are dAand dB= 2dA, respectively. Thus, the diameter d and moment of inertia / at distance x from the free end are, respectively, in which IAis the moment of inertia at end A of the beam. Determine the equation of the deflection curve and the deflection 8 Aat the free end of the beam due to the load P.
The tapered cantilever beam AB shown in the figure has a solid circular cross section. The diameters at the ends A and B are dAand dB= 2dA, respectively. Thus, the diameter d and moment of inertia / at distance v from the free end are, respectively, in which IAis the moment of inertia at end A of the beam. Determine the equation of the deflection curve and the deflection SAat the free end of the beam due to the load P.
The simple beam shown in the figure supports a concentrated load P acting at distance a from the left-hand support and distance h from the right-hand support. Determine the deflection SDat point D where the load is applied. (Obtain the solution by determining the strain energy of the beam and then using Castigliano's theorem.)
For the beam and loading shown, integrate the load distribution to determine (a) the equation of the elastic curve, (b) the deflection at the left end of the beam, and (c) the support reactions By and MB. Assume that EI is constant for the beam. Let w0 = 6 kN/m, L = 4.5 m, E = 210 GPa, and I = 140 x 106 mm4.
For the beam and loading shown, use the double-integration method to determine (a) the equation of the elastic curve for the cantilever beam AB, (b) the deflection at the free end, and (c) the slope at the free end. Assume that EI is constant for the beam. Let w0 = 6 kN/m, L = 5.5 m, E = 195 GPa, and I = 140 x 106 mm4.
For the beam and loading shown, use the double-integration method to determine (a) the equation of the elastic curve for the cantilever beam, (b) the deflection at B, (c) the deflection at the free end, and (d) the slope at the free end. Assume that EI is constant for the beam. Let w = 15 kN/m, L = 3.5 m, E = 185 GPa, and I = 110 x 106 mm4
Determine the equivalent stiffness of a cantilever beam which is loaded transversely on its end and has a length in 5000 mm and an annular cross section with inner and outer diameters of 25 mm and 22 mm, respectively. The modulus of elasticity of the beam is 72x109 N/m2. Use moment of inertia I=π(D4o−D4i)/64 and spring constant is (k= 500 N/m). Answer must be in three decimal places.
The supports at points A and B of the beam, which is made of steel with a modulus of elasticity of 200GPa and given in the cross-section and front view, only prevent vertical translation. Accordingly, calculate the rotation at point A and the collapse at point C.