What is Shear modulus: Definition and 27 Discussions
In materials science, shear modulus or modulus of rigidity, denoted by G, or sometimes S or μ, is a measure of the elastic shear stiffness of a material and is defined as the ratio of shear stress to the shear strain:
{\displaystyle \Delta x}
is the transverse displacement
l
{\displaystyle l}
is the initial length of the area.The derived SI unit of shear modulus is the pascal (Pa), although it is usually expressed in gigapascals (GPa) or in thousand pounds per square inch (ksi). Its dimensional form is M1L−1T−2, replacing force by mass times acceleration.
Hello,
I am trying and failing to derive that the shear modulus ##G## is equal to the Lame parameter ##\mu##. I start with the linear, symmetric, isotropic stress-strain formula: $$\sigma = \lambda \mathrm{tr}(\epsilon) \mathrm{I} + 2\mu \epsilon$$ I then substitute a simple (symmetric) shear...
How did Voigt derive the average shear modulus of an anisotropic material, G=1/5 (A-B+3C), where 3A=c11+c22+c33, 3B=c12+c13+c23, 3C=c44+c55+c66?
The original text is published in German about 100 years ago. I looked for other papers explaining this, but none has explained the derivation. They...
Homework Statement
A diver stands (80kg) at the end of a diving board, causing the board to dip 10cm. The board has a width of 34cm and a height of 6cm. If the shear modulus of the board is 2x10^6pa, what is the length of the board? (Ans: 5.2m)
Homework Equations
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F/A=S⋅Δx/h
The...
I'm designing a 'thing' for my masters project, which has to be 3D printed. I've designed this in Inventor, but it doesn't have PLA (Polylactic Acid), so I've been using Inventor's PMMA (Perspex) thus far. I want to get more accurate figures, so I've had a 1 cm3 block printed to get an exact...
Hi. I am trying to determine the size of a shaft for a motor I am designing. The thing is, I can't seem to find shear stress alone for steel. I can find shear modulus easy though... But I don't really know the angle of twist. I know torque and I am trying to figure out radius.
Should I just...
After completing two experiments to find the shear modulus of a beam, I found two very different results. For test 1, we twisted the beam slowly at very small angles (0.005 - 0.03 rad), only in its elastic form. The torque was found using a torsiometer . In test two a replica of the beam was...
Hi Can any please help:
My course work is asking for me to calculate the Bulk modulus and shear modulus for a material that has a Young's modulus of elasticity of 250GN m-2 and a Poisson's ratio of 0.32?
Any help will be great thanks
Simon
i am new to rubber components , now i am developing a bladder for pulsation dampener, so for that i need to check the spring rate or elasticity of viton material and to determine the thickness for the bladder, I am struggling a lot to find the shear modulus of rubber, if have this valve i have...
Hello lol first post . so I've done an experiment in determining the modulus of rigidity for a bar of an unknown material (torsion experiment). I have been asked to analyse the results, which I still have no idea what that means and find the material with the G value that i have. I've been...
Homework Statement
A material which has a Young’s modulus of elasticity of 250 GN m–2 and
a poisons ratio of 0.32, calculate:
(a) the bulk modulus of the material
(b) the shear modulus of the material.
Homework Equations
E=3(1−2ν)K
3. The Attempt at a Solution
a)
E = 3(1−2ν)K
K = E /...
I have a screw that is used in our plant that is rated to break at 39 ft/lbs of torque.
The diameter of the shaft is .130 inches.
What is the shear modulus of the material that is being used.
Thanks
If a shear force is acting on a rectangular beam, how do I use the value of the shear modulus to calculate if the force applied will fracture the beam? Below I've submitted the data involved.
The shear force applied is 1000 N and the cross section area is 28 mm.
So the shear force applied is...
I am looking for shear modulus (G) for Nitronic 50 or XM-19 High strength hot rolled condition
UNS - S20910 and ASTM A276-10
it is surprising for me that material standards like ASME or ASTM does not provide shear modulus data..?
even checked "http://www.keytometals.com" and...
While doing an assignment on building with spaghetti I have come across the shear modulus. I need to find the shear modulus in order to use the torsion equation. Does anyone have a value for it by any chance?
Homework Statement
A rod with a diameter of 1.00 in and length of 6.0 ft undergoes an axial deformation of 0.150 in when subjected to an axial force of 52.0 kip. The diameter of the rod decreases by 0.0007 in at this load. Determine the modulus of elasticity, Poisson's ratio and the shear...
Hi, i just did a unaxial tensile test for a done specimen.
What i got is the stress-strain curve, and poison ratio.
May i know how can i determine the shear modulus G12 ?
I gt E1, E2 and V12 and V21.
I am reading through some calculations in a book that refer to an average shear modulus of steel (19700)...
they give no units and it has completely thrown me off track while following through the calcs can anybody help?
I know the unit is imperial and if i convert some of the other units...
Hi,
I'm trying to more understand the theory behind the shear modulus for various materials and have come across this text: http://www.scribd.com/doc/49116294/Electronic-Basis-of-the-Strength-of-Materials-Gilman-J-CUP-2003
The chapter on shear modulus starts on page 153 and there is a part...
Homework Statement
A student bumps into a tray of jello. The lime jello is jiggling side to side faster than the orange jello. Both jellos have the same spatial dimensions. Which statement is true?
Answer: Lime jello has a higher shear modulus than orange jello
Homework Equations...
I was wondering if anyone could please point me in the direction of some background info on who (and why) someone defined the equations definition of the shear modulus, I've searched in google and wiki and havnt found anything useful. Just a link or something would be great
hi there, I am completely stuck on this question and was wondering if anyone could help me out here;
''a metal wire has a diameter of 1mm. when subjected to a tensile load of 200N the diameter is 0.99925. if the youngs modulus of the titanium is 110GPa, determine the shear modulus of the...
Why does the shear modulus of a metal decrease with increasing temperature, on an atomic scale?
Is it something to do with electrons gaining more energy allowing "layers" to slide around more easily??
Homework Statement
I'm doing some preliminary research for a potential IB extended essay topic. It involves thermal stresses in fused glass; details aren't that important right now.
But I need to find a table, equation, or SOME sort of reference that gives me the relationship between the...
I have a question in an assignment and am using the Θ = LT/JG equation to find the angle of twist in an I section beam to be used in a monorail. I have all other figures to put in the equation but am not sure where i get G value from
Help :o)
Thank you
A child slides across a floor in a pair of rubber-soled shoes. The friction force acting on each foot is 25 N, the cross-sectional area of each foot is 20 cm2, and the height of the soles is 5.0 mm. Find the horizontal distance traveled by the sheared face of the sole. The shear modulus of the...
A large sponge has forces of magnitude 17 N applied in opposite directions to two opposite faces of area 43 cm2 (see the figure below ). The thickness of the sponge (L is ")3 cm. The deformation angle (g is ")8.4°. (a) What is delta x? (b) What is the shear modulus of the sponge?
delta x =...