Teaching Deflections of Beams: Comparison of Advantages of Method of Model Formulas versus Method of Superposition

Jong, Ing-Chang; Springer, William T.

doi:10.18260/1-2--18871

Cited by 2 publications

(4 citation statements)

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“…Jong, Springer, and Couvillion [1] showed beams are longitudinal members subjected to support loads. Students usually first learn the beams strength design.…”

Section: Introductionmentioning

confidence: 99%

“…Based on the above researches, the object of this work is to apply the mathematical concepts with dynamic teaching to help students for learning the deflection analysis of beams. [1,2,7] Avery [6] showed all human progress depends on education: to get it we need books and schools. Hence, we could teach the students to investigate the deflection of beams at schools.…”

Section: Introductionmentioning

confidence: 99%

“…Hence, we could teach the students to investigate the deflection of beams at schools. The relative theories [1,2,7] are introduced as follows:…”

Section: Introductionmentioning

confidence: 99%

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Dynamic Teaching on the Deflection Determining of Beams

Hsu

Weng

Yang

2014

AMR

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The object of this study is applying the mathematical concepts to help students for learning the deflection analysis of beams. We integrate the concepts and techniques of calculus, derivative, programming writing, and deflection of beam device manufacture to achieve the purpose of this work. The results show the computer dynamic teaching and simulation enable the students to know the representation of deflection analysis of beams, and realize the graphic representation of basic deflection concepts of beam. In facts, the dynamic teaching helps the students to effectively understand deflection analysis on beams with different loads.

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“…Jong, Springer, and Couvillion [1] showed beams are longitudinal members subjected to support loads. Students usually first learn the beams strength design.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Dynamic Teaching on the Deflection Determining of Beams

Hsu

Weng

Yang

2014

AMR

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“…Then the same problems in the examples will be solved by the conjugate beam method (CBM). For convenient comparison of effectiveness in the solutions by different methods, problems in previous examples 14 will be employed in illustrating solutions by the MoMF and the CBM.…”

Section: Teaching and Learning New Methods Via Contrast Between Solutionsmentioning

confidence: 99%

Teaching Deflections of Beams: Advantages of Method of Model Formulas versus Those of Conjugate Beam Method

Jong

2012 ASEE Annual Conference &Amp; Exposition Proceedings

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The method of model formulas is a recently published method. It employs a general model loading diagram and derived four key equations as model formulas. These formulas can account for the beam's flexural rigidity, applied concentrated loads, linearly distributed loads, and the boundary or support conditions. No explicit integration is needed in using the model formulas in this method. This method can be applied to solve most problems involving beam reactions and deflections encountered in the teaching and learning of mechanics of materials. On the other hand, the conjugate beam method is a natural extension of the moment-area theorems. It is an elegant, efficient, and powerful method propounded by Westergaard in 1921. Elementary presentation of this method did appear in some early textbooks of mechanics of materials. 2,5 For reasons unknown, this method is currently missing in most such textbooks. This paper is aimed at providing comparisons of the method of model formulas versus the conjugate beam method regarding their (a) pedagogy and methodology, (b) effectiveness in solving problems of deflections of beams and statically indeterminate reactions at supports via several head-to-head contrasting solutions of the same problems, and (c) ways to effectively introduce and teach either of these methods to students.

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Teaching Deflections of Beams: Comparison of Advantages of Method of Model Formulas versus Method of Superposition

Cited by 2 publications

References 3 publications

Dynamic Teaching on the Deflection Determining of Beams

Dynamic Teaching on the Deflection Determining of Beams

Teaching Deflections of Beams: Advantages of Method of Model Formulas versus Those of Conjugate Beam Method

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