# Conjugate Beam Method Solved Problems The basis of the method is: These modifications to the support conditions are illustrated below (from the Wikipedia Article): The spreadsheet Conjugate provides a simple example of the method applied to a simply supported beam with two point loads: The shear and moment diagrams are calculated for the specified load positions and values, using the usual methods (Columns B and C above): The bending moment due to the applied load is then divided by EI to give the applied load for the conjugate beam.For a simply supported beam the conjugate beam supports are unchanged, but we need to calculate the reaction force at the supports.The Excel solver has been set up in the spreadsheet to find this location by adjusting the value in cell A18 so that the conjugate beam shear (equal to the original beam slope) is equal to zero.

The basis of the method is: These modifications to the support conditions are illustrated below (from the Wikipedia Article): The spreadsheet Conjugate provides a simple example of the method applied to a simply supported beam with two point loads: The shear and moment diagrams are calculated for the specified load positions and values, using the usual methods (Columns B and C above): The bending moment due to the applied load is then divided by EI to give the applied load for the conjugate beam.For a simply supported beam the conjugate beam supports are unchanged, but we need to calculate the reaction force at the supports.The Excel solver has been set up in the spreadsheet to find this location by adjusting the value in cell A18 so that the conjugate beam shear (equal to the original beam slope) is equal to zero.

It can easily be followed that to find value of slope and deflection at a point the difference in slope and deviation from another point may be used, given that slope and deflection at the other point is known in advance, such as supports.

Conjugate beam method makes use of an interesting similarity between slope and deflection of real beam and SF and BM of conjugate beam: Hence, the contribution of reactions from modified support to SF and BM of the conjugate beam automatically take into account the slope and deflection at supports in the real beam.

Consequently, from Theorems 1 and 2, the conjugate beam must be supported by a pin or a roller, since this support has zero moment but has a shear or end reaction.

When the real beam is fixed supported, both the slope and displacement are zero.

This set of Structural Analysis Multiple Choice Questions & Answers (MCQs) focuses on “Conjugate-Beam Method”.

Conjugate beam is defined as the imaginary beam with the same dimensions (length) as that of the original beam but load at any point on the conjugate beam is equal to the bending moment at that point divided by EI. Essentially, it requires the same amount of computation as the moment-area theorems to determine a beam's slope or deflection; however, this method relies only on the principles of statics, so its application will be more familiar.I’ve been using their services for a year now, and they have never let me down.When I realized I couldn’t keep up with football practice and essays, I decided to hire someone to complete the homework for me.The numerical values of the conjugate beam shear and bending moment are equal to the slope and displacement of the original beam.An alternative calculation of the shear force at End 1 of the conjugate beam is shown below; taking moments about End 1, to find the reaction at End 2, and hence the End 1 force.Since we are more conversant in calculating BM and SF as compared to dealing with area and their moments, conjugate beam method makes our work easier.The Conjugate Beam Method is a variation of the Moment-Area Method that allows beam slopes and deflections to be calculated purely from the calculation of shear forces and bending moments of the beam with (in some cases) modified support conditions.From the above comparisons, we can state two theorems related to the conjugate beam: Theorem 1: The slope at a point in the real beam is numerically equal to the shear at the corresponding point in the conjugate beam.Theorem 2: The displacement of a point in the real beam is numerically equal to the moment at the corresponding point in the conjugate beam.I never needed anyone to do my homework for me until I got a part-time job in college.Good thing I did my research and chose this website to outsource all the essays.

## Comments Conjugate Beam Method Solved Problems

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Skew Roller Support. BEAM ANALYSIS USING THE STIFFNESS. METHOD. Conjugate beam. A. EI. M. B. L. P. A. B. EI. M. EI. Typical Problem. 0. 0. 0. 0. A.…

• ###### PPT Slope Deflection Method Kalyso isemin - Academia.edu
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Of Civil Engineering Structural Analysis I Slope Deflection Method Prepared by. deflection using conjugate beam To understand the basic concept of slope. solution of a problem & to solve these eqn for the unknown disp & associated.…

• ###### Module 4 Deflection of Structures Lecture 7 Tutorial Problems
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Some tutorial problems related to this module. TUTORIAL. T4.5 Using conjugate beam method determine the ratio P / Q for the beam shown in Figure T4.5 if.…

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It can be framed as an optimization problem also. Methods of Structural Analysis. that would lead to several boundary / continuity conditions to be solved for each. The conjugate beam method analogy relies simply on the similarities.…

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Lecture 6.5 Iterative Methods for Solving. To present and illustrate the application of methods which can be used to solve stability problems iteratively. with the conjugate beam method, it is possible to calculate also slopes and deflections.…

• ###### Analysis and design of beam-columns - Core
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The differential equations can be solved by use of the given boundary condi- tions, and. In applying this method to beam-column problems, it is necessary to assume a. conjugate beam due to the lateral loads alone and are obtained by.…

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EX08 Shear and Moment Equations for a Simply Supported Beam. EX03 Solved Problem Conjugate Beam Method beam with internal hinge.…

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Beam, the problem of determining the slope and the. same plane. – The superposition method can illustrated. wider range of problems can be solved by.…

• ###### Structural Analysis - AIMS Lab - UCI
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Apply elastic beam theory, moment-area and conjugate-beam methods to. quizzes will be focused on problems solved in the class, homework, examples.…

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The bending moment in the conjugate beam at any section is the ordinate of the elastic. Use the conjugate beam method to solve the following problems.…