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• Conjugate_beam_method abstract "The conjugate-beam method is an engineering method to derive the slope and displacement of a beam. The conjugate-beam method was developed by H. Müller-Breslau in 1865. 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.The basis for the method comes from the similarity of Eq. 1 and Eq 2 to Eq 3 and Eq 4. To show this similarity, these equations are shown below.Integrated, the equations look like this.Here the shear V compares with the slope θ, the moment M compares with the displacement v, and the external load w compares with the M/EI diagram. Below is a shear, moment, and deflection diagram. A M/EI diagram is a moment diagram divided by the beam's Young's modulus and moment of inertia.To make use of this comparison we will now consider a beam having the same length as the real beam, but referred here as the "conjugate beam." The conjugate beam is "loaded" with the M/EI diagram derived from the load on the real beam. 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.".
• Conjugate_beam_method thumbnail Elastic_load_method_(full).png?width=300.
• Conjugate_beam_method wikiPageID "31691219".
• Conjugate_beam_method wikiPageRevisionID "571935731".
• Conjugate_beam_method hasPhotoCollection Conjugate_beam_method.
• Conjugate_beam_method subject Category:Mechanics.
• Conjugate_beam_method comment "The conjugate-beam method is an engineering method to derive the slope and displacement of a beam. The conjugate-beam method was developed by H. Müller-Breslau in 1865. 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.The basis for the method comes from the similarity of Eq. 1 and Eq 2 to Eq 3 and Eq 4.".
• Conjugate_beam_method label "Conjugate beam method".
• Conjugate_beam_method label "モールの定理".
• Conjugate_beam_method sameAs モールの定理.
• Conjugate_beam_method sameAs m.0h3wywc.
• Conjugate_beam_method sameAs Q5161152.
• Conjugate_beam_method sameAs Q5161152.
• Conjugate_beam_method wasDerivedFrom Conjugate_beam_method?oldid=571935731.
• Conjugate_beam_method depiction Elastic_load_method_(full).png.
• Conjugate_beam_method isPrimaryTopicOf Conjugate_beam_method.