Applied Strength of Materials, Sixth Edition SI Units Version

Mott, Robert L.; Untener, Joseph A.

doi:10.1201/9781315153056

Cited by 9 publications

(12 citation statements)

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“…where, 𝐴 = 𝑎𝑃 𝑅 2 2 and 𝐵 = 𝑏𝑃 𝑅𝑇 (20) In theory, there are three roots for a cubic equation. If there are three real roots found, the smallest one is taken for the saturated liquid, the biggest is for the saturated vapor while the third one is not used.…”

Section: Equations Of State In Terms Of Compressibility Factormentioning

confidence: 99%

Some Applications of Cubic Equations in Engineering

Zahedi¹,

Kamil²,

Jelita³

et al. 2022

MMEP

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Cubic equations have many applications in engineering, three of them are discussed in this paper. There are many equations of states for real gases but the cubic equations are the simplest ones and are sufficiently accurate for a limited range of temperatures and pressures. Degree of dissociation of chemical equilibrium for carbon dioxide and water can be written as cubic equations. Slope of a simply supported beam loaded by a continuous load is also represented as a cubic equation. Cubic equations can be solved exactly using Cardano’s formula. They can also solve numerically; Newton-Raphson method is a popular choice. Although a cubic equation has three roots, only real roots are valid in real applications discussed in this paper. Even there may be only one root that can be used; two other roots will be discarded. There are many ways a cubic equation solved but the simplest one is to solve it manually using a scientific calculator. Software and programming languages are better if there are many equations to be solved repeatedly.

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Section: Equations Of State In Terms Of Compressibility Factormentioning

confidence: 99%

Some Applications of Cubic Equations in Engineering

Zahedi¹,

Kamil²,

Jelita³

et al. 2022

MMEP

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“…Then, diffusers convert part of this kinetic energy into even more pressure. After the fluid passes through all stages, pressure is increased sufficiently to allow fluid production at the surface at a desired flow rate (Mott 2014).…”

Section: Introductionmentioning

confidence: 99%

An Improved Electrical Submersible Pump Performance Testing System

et al. 2015

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Recent advances in exploration and energy extraction have been significant and occurred very quickly, greatly impacting the US economy. A major component of these advances is the electrical submersible pump (ESP), which targets high-volume energy extraction. Consequently, ESP testing system demands are increasing to new levels. Reliable and safe testing systems that provide quick, accurate, and repeatable results are highly desirable.A service company recently developed a highly accurate, reliable, and fast ESP testing system. The new, improved testing system incorporates a control valve coupled with an actuator, two electromagnetic flow meters, a variable frequency driver (VFD), and programmable logic controller (PLC) driven automation. API standards were strictly followed concerning flow, pressure, and torque measurements. A proprietary software package allows real-time communication with the PLC and helps operators to run tests and to post test results online. Finally, identified safety issues were mitigated, either by design or administrative methods, to help minimize their severity.The newly improved testing system helps reduce pump testing time by 75%. This new design is also modular, which helps to reduce transportation/installation costs and greatly simplifies installation.

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“…In this paper the transformation of stresses is not specifically addressed, but the principal stresses and the associated principal directions are obtained for the four biaxial stress situations identified above. The procedure for construction of Mohr's circle is outlined in various texts, such as [Mott, 2008]. For the four biaxial cases considered in this paper, we essentially have a bending stress,  x due to bending moment and a shear stress,  xy due to torsion.…”

Section: Mohr's Circlementioning

confidence: 99%

Investigation of Proportional and Non-proportional Loadings Using Mohr’s Circle

Chattopadhyay

2012 ASEE Annual Conference &Amp; Exposition Proceedings

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For time varying loads, proportional loading refers to the cases where the principal stresses maintain constant directions and constant ratios of their values; otherwise it is non-proportional. Non-proportional loadings are especially important in the design and analysis of automotive components such as crankshafts and connecting rods. It is important to understand how external bending and torsion loads combine to form various mixes of normal and shear stresses. In particular, the principal stresses play an important role in predicting material failure under static and dynamic loads. Mohr's circle is an invaluable tool in its ability to determine the principal stresses and the associated principal directions. The features of proportional and nonproportional loadings have been exemplified in this paper by studying the stresses in a shaft under combined bending and torsion using Mohr's circle.

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Applied Strength of Materials, Sixth Edition SI Units Version

Cited by 9 publications

References 0 publications

Some Applications of Cubic Equations in Engineering

Some Applications of Cubic Equations in Engineering

An Improved Electrical Submersible Pump Performance Testing System

Investigation of Proportional and Non-proportional Loadings Using Mohr’s Circle

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