Partial Fractions

 Partial Fractions...

 Partial Fractions

A technique used in integrals of rational fractions consisting in splitting a fraction into a sum of simpler, partial fractions. In the following example, we define N as a numerator polynomial and D as a denominator polynomial of the rational fraction N/D, and then invoke the function ‘partfrac’ to produce the corresponding partial fractions:



유리분수의 적분에서 사용되는 기법으로 분수를 더 간단한 부분분수의 합으로 나누는 것입니다. 다음 예에서는 유리분수 N/D의 분자 다항식으로 N을, 분모 다항식으로 D를 정의한 다음 'partfrac' 함수를 호출하여 해당 부분 분수를 생성합니다:











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Biaxial bending interaction diagrams

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Biaxial bending interaction diagrams for reinforced concrete column design solution The steps to calculate biaxial flexural strength of a rectangular reinforced concrete column for a given nominal axial strength and moment ratio of biaxial bending moments are as follows: 1. assuming a value for the angle of the neutral axis (a) and the neutral axis depth (c) to calculate the strain values in each reinforcement layer 2. Calculate the forces values in the concrete (Cc) and reinforcement layers (Fst) 3. Calculate Pn, Mnx/Mny using the following equations the procedure above should be repeated until the calculated Pn, and Mnx / Mny are euqal to the given Pn, and Mnx/Mny. The following figure demonstrates the procedure explained above: 출처: Biaxial Bending Interaction Diagrams for Rectangular Reinforced Concrete Column Design (ACI 318-19) Structure Point https://skyground21.tistory.com/entry/Biaxial-bending-interaction-diagram
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