A compression spring is made of a music wireof 2 mm diameter having a shear strength andshear modulus of 800 MPa and 80 GParespectively. The mean coil diameter is 20 mm,the free length is 40 mm and the number ofactive coils is 10. If the mean coil diameter isreduced to 10 mm, the stiffness of the spring isapproximately

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Answered: n coil diameter is 20 mm, nm and the…

Engineering

Civil Engineering

n coil diameter is 20 mm, nm and the number of e mean coil diameter is e stiffness of the spring is

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

FEA for Dynamic Problems

Finite element analysis or FEA is a computational tool that evaluates the approximate solution for a particular engineering problem. The tools provided by FEA help to evaluate the solutions of partial differential equations (PDEs) computationally following a numerical approach. Solutions of the PDEs can also be performed by following traditional algebraic approaches, but when the problem gets towards the complex side, it becomes very tedious and almost impossible to arrive at the solutions. In such cases, the FEA fulfills the purpose by evaluating the equations following multiple time steps and iterations. The more the time steps and iterations, the more accurate the solution. The solution plotted by FEA analysis and mathematical approaches varies asymptotically.

Question

A compression spring is made of a music wire
of 2 mm diameter having a shear strength and
shear modulus of 800 MPa and 80 GPa
respectively. The mean coil diameter is 20 mm,
the free length is 40 mm and the number of
active coils is 10. If the mean coil diameter is
reduced to 10 mm, the stiffness of the spring is
approximately

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