What is conjugate beam method explain in detail?
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. The conjugate-beam method is an engineering method to derive the slope and displacement of a beam.
Why conjugate beam method is used?
The conjugate beam method takes advantage of the similarity of the relationship among load, shear force, and bending moment, as well as among curvature, slope, and deflection derived in previous chapters and presented in Table 7.2. Table7.2. Relationship between load-shear-bending moment and curvature-slope-deflection.
What is difference between real beam and conjugate beam?
A comparison of two set of equations indicates that if M / EI is the loading on an imaginary beam, the resulting shear and moment in the beam are the slope and displacement of the real beam, respectively. The imaginary beam is called as the “ conjugate beam ” and has the same length as the original beam.
When Macaulay’s method is preferred?
Macaulay’s method (the double integration method) is a technique used in structural analysis to determine the deflection of Euler-Bernoulli beams. Use of Macaulay’s technique is very convenient for cases of discontinuous and/or discrete loading.
Which type of bending moment is taken as positive in continuous beams?
When a reinforced concrete continuous beam or frame beam is being considered, the positive bending moment occurs in the middle part of the span and the negative bending moment occurs near the support.
Where is Macaulay’s method used?
What is Kani’s method?
Kani’s method is also known as the Rotation contribution method. It is a developed method of iteration for the statically indeterminate buildings and structures which is an approximate method that can save a great deal of time compared to the moment distribution method.