#young's modulus

[er-cryptid]

[navedextraclass-blog]

When an object is in either tension or compression, the net force acting on it is zero, but the object deforms by changing its original length

[ijtsrd]

A Case Study on Elastic Oscillationsand its Applications in Bungee Jumping by Differential Equations

By Gowri. P | Glory Bebina. E"A Case Study on Elastic Oscillationsand its Applications in Bungee Jumping by Differential Equations"

Published in International Journal of Trend in Scientific Research and Development (ijtsrd), ISSN: 2456-6470, Volume-2 | Issue-2 , February 2018,

URL: http://www.ijtsrd.com/papers/ijtsrd9499.pdf

Direct URL- http://www.ijtsrd.com/mathemetics/other/9499/a-case-study-on-elastic-oscillationsand-its-applications-in-bungee-jumping-by-differential-equations/gowri-p

submit paper online, call for paper papers in journals, ugc approved journals for social science

The aim of this project is to develop an understanding of the mathematics and physics involved in a bungee jump, in order to gain a better understanding of the concepts involved. We will use Newton's law and utilize techniques needed to solve second order differential equations. For simplicity; we will regard the jumper as a point mass in one dimension and we will make the assumption that wind resistance has a linear relationship to speed. We will also assume that the bungee cord obeys Hooke's laws and doesn't break.

[notthemighty-blog]

Have you ever found, on the side of the street, a giant spring made from a curled up rebar?

Physics instructor, on Young's modulus

[lespromessesdors]

Researching Online

Me: I have a science report due tomorrow. Time to research.

Clock: four hours later

Me: Hmm. This website looks interesting?

Website: "The Young's Modulus..."

Me: AHAHAHAHA. No. *closes out of website*

[nottinghamengineeringstude-blog1]

Stiffness: Part 9 Stiffness in Different Materials

Elastic Modulus increases as Bond stiffness increases. Eg, when equilibrium bond length decreases = strong bonding. And small atoms and closer packed structures.

Ceramics = very strong bonding and high stiffness

Metals = strong bonding and close packed structures, intermediate stiffness

Polymers = weak bonding and open structures, lowest stiffness.

Can we make materials stiffer?

Yes, but only through producing composite materials

We can't change the bond strength or spacing by alloying

Can mix together materials of a different stiffness to give varying results

Eg, fibre glass in a polymer matrix, or ceramic fibres in a metal matrix

Application of the Elastic Modulus

Allows the behaviour of a material under load to be predicted - only applicable when the load produces reversible elastic deformation.

Can predict elastic extension of a cable in tension, and the deflection of a beam in bending

Materials with a higher stiffness will extend or deflect less - steel < aluminium < wood

Determine the energy stored in a structure that has been elastically deformed - such as a spring

In the case of loading to a given stress, a low stiffness is more desirable.