What is Young's modulus: Definition and 189 Discussions

Young's modulus



E


{\displaystyle E}
, the Young modulus, or the modulus of elasticity in tension, is a mechanical property that measures the tensile stiffness of a solid material. It quantifies the relationship between tensile stress



σ


{\displaystyle \sigma }
(force per unit area) and axial strain



ε


{\displaystyle \varepsilon }
(proportional deformation) in the linear elastic region of a material and is determined using the formula:




E
=


σ
ε




{\displaystyle E={\frac {\sigma }{\varepsilon }}}
Young's moduli are typically so large that they are expressed not in pascals but in gigapascals (GPa).
Although Young's modulus is named after the 19th-century British scientist Thomas Young, the concept was developed in 1727 by Leonhard Euler. The first experiments that used the concept of Young's modulus in its current form were performed by the Italian scientist Giordano Riccati in 1782, pre-dating Young's work by 25 years. The term modulus is derived from the Latin root term modus which means measure.

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  1. B

    Young's modulus and bulk modulus of cooked pasta

    Hi there, I am doing some simulation on the cooking process of pasta. Now I need the viscoelastic parameters of cooked pasta (plane sheet lasagna to :) ). To be more specific, i need the shear modulus and the initial bulk modulus. Right now I found a paper, in which a relaxation test was...
  2. S

    Young's Modulus of Copper Wire: N/m Value

    Homework Statement What is the actual value for the young's modulus of copper wire in N/m?Homework Equations The Attempt at a Solution
  3. Y

    How Much Force Can a Human Femur Withstand Before Fracturing?

    Homework Statement Assume that Young's Modulus for bone is 1.50 X 10^10 N/m2 and that the bone will fracture if more than 1.50 X 10^8 N/m2 is exerted. (a) What is the maximum force that can be exerted on the femur bone in the leg if it has a minimum effective diameter of 2.60 cm? (b)...
  4. A

    Composite beams and young's modulus

    Homework Statement "A polymer, with Young’s modulus 2GPa and yield stress 50MPa, is reinforced by uniaxially aligned glass fibres which have Young’s modulus 70GPa and fracture at 1400MPa. The volume fraction of fibres is 40%. (a) Calculate Young’s modulus for the composite in the...
  5. P

    Young's modulus times second moment of area

    Good day, Im am wondering what you get when you determine the following of a bar during a bending experiment: (E x I) / y E = the Young's Modulus [kgf/mm^2] I = Second moment of area [mm^4] y = half of the bar height [mm] Is there a name for this term? And what does this term...
  6. A

    Help with Calculating Young's Modulus Using Data

    can anyone help me with this question...i am stuck data for steal wire 1.72 m long and 0.4 mm diameter load 10 20 30 40 50 60 extension 0.7 1.5 2.1 2.9 3.6 4.3 find youngs modulus? i have this formula E=F/A*L/AL but don't know how to use it...
  7. M

    What is the Young's modulus of this iron alloy wire?

    Homework Statement A hanging wire made of an alloy of iron with diameter 0.09 cm is initially 2.2 m long. When a 66 kg mass is hung from it, the wire stretches an amount 1.12 cm. A mole of iron has a mass of 56 grams, and its density is 7.87 g/cm3. Based on these experimental measurements...
  8. P

    Why do we call the constant of proportionality in hook's law as Young's Modulus?

    Why do we call the constant of proportionality in hook's law as Young's Modulus and not as Young's coefficient? Is there any difference in Modulus and coefficient in engineering context?
  9. S

    How Much Does a Brass Wire Stretch Under a 5 kN Load?

    Homework Statement "A brass wire with Young's modulus of 9.1 1010 Pa is 2.1 m long and has a cross-sectional area of 4.6 mm2. If a weight of 5.0 kN is hung from the wire, by how much does it stretch?" The answer is to be given in cm. Homework Equations I used the equation for...
  10. M

    Young's Modulus: maximum depth of mine

    Homework Statement Although human beings have been able to fly hundreds of thousands of miles into outer space, getting inside the Earth has proven much more difficult. The deepest mines ever drilled are only about 10 miles deep. To illustrate the difficulties associated with such drilling...
  11. G

    AS Level Physics: Young's Modulus

    Homework Statement I was not in for the Young's Modulus of copper wire experiment, so a friend gave me their data. It seems very wrong and the graph will in no way give proportionality. The Attempt at a Solution Does anyone have data or results from old school days or anything at all...
  12. R

    Calculating Young's Modulus for Iron Wire Experiment

    Homework Statement I had to do an experiment and create a graph with the data. We attached one end of the Iron wire to a clamp and then tied on weights of 100g at a time to the other end so that a force can be applied to the Iron wire and so it stretches. (as pizza1512 did but in copper)...
  13. A

    Calculating Young's Modulus with Force and Extension Measurements

    hi i have been given these results in order to work out the young's modulus can any 1 tell me how i go about doing this Force (kN) Extension (mm) 0.5 0.003 1 0.011 1.5 0.019 2 0.021 2.5 0.024 3 0.032 3.5 0.040 4 0.043 4.5 0.050 5 0.060 5.5 0.064 6 0.070 6.5 0.076 7 0.081...
  14. B

    What is Young's modulus for this alloy of titanium?

    Homework Statement A hanging wire made of an alloy of titanium with diameter 0.15 cm is initially 2.8 m long. When a 109 kg mass is hung from it, the wire stretches an amount 1.41 cm. A mole of titanium has a mass of 48 grams, and its density is 4.54 g/cm^3. Based on these experimental...
  15. B

    Calculate Maximum Force & Shortening of Femur Bone | Young's Modulus Help

    Assume that Young's Modulus for bone is 1.50x10^10 N/m^2 and that the bone will fracture if more than 1.50x10^8 N/m^2 is exerted. (a) What is the maximum force that can be exerted on the femur bone in the leg if it has a minimum effective diameter of 2.60 cm? (b) If a force of this...
  16. H

    Calculating Compression of Aquarium Support Posts

    Homework Statement A large 3.00×10^4 L aquarium is supported by four wood posts (Douglas fir) at the corners. Each post has a square 3.80 cm x 3.80 cm cross section and is 80.0 cm tall. By how much is each post compressed by the weight of the aquarium? Homework Equations deltaL =...
  17. C

    How Do You Calculate Young's Modulus from Wire Stretching Data?

    Homework Statement A wire of length 4.97 m with a cross-sectional area of 0.104 cm2 stretches by 6.52 mm when a load of 0.92 kN is hung from it. What is the Young's modulus for this wire? Answer in Pa Homework Equations F/A = Y(Change in L / L) where F is the magnitude of force A =...
  18. R

    What are the units for Young's Modulus in GPa?

    I seem to be going a bit brain dead here, but in youngs modulus, how are the units in GPa as they are in one of my product specs I've just received? Lets say we have stress in kN/m^2 and strain has no units, then surely E should be in kN/m^2?
  19. F

    Young's modulus of spider thread

    Homework Statement Q 1. A spider with a mass of 0.26 g hangs vertically by one of its threads. The thread has a Young’s modulus of 4.7 x 10^9 N/m2 and a radius of 9.8 x 10^- ^6 m. a) What is the fractional increase in the thread’s length caused by the spider? b) Suppose a 76 kg person...
  20. K

    Elasticity and young's modulus

    Homework Statement The strain in a rubber ring on a rim of a wheel of radius 0.40m is 3*10^-3 when the wheel is stationary. The normal push of the rim on the ring just becomes zero when the wheel is rotating at angular speed 'omega'. Calculate the value of 'omega' if Young's Modulus for the...
  21. P

    Young's modulus of a copper wire

    Hi there! Can anyone help me with a problem. I did an experiment at school trying to measure the Young's modulus of a copper wire. We attached one end of the copper wire to a clamp and then tied on weights of 100g at a time to the other end so that a force can be applied to the copper wire...
  22. I

    What is the spring constant if a 0.25 kg rock stretches a spring by 0.25 m?

    Homework Statement Hang a 0.25 kg rock from the end of a spring. If the spring stretches 0.25 m, what is the spring constant? Homework Equations i'd assume F/A=Y(Change in L/Lo) The Attempt at a Solution I can do it if there was Area, but there isn't. there's probably another...
  23. U

    How Does Ceres' Gravity Affect Copper Wire Elongation?

    Homework Statement The asteriod Ceres has a mass of 1.11x10^21 kg and a diamter 772km. Ceres orbits the sun at an average distance of 414 million kilometers. Estimate the change in length of a 2m length of thin copper wire caused by hanging a 1.5kg mass on the wire on the asteriod Ceres. ...
  24. A

    Is it possible to accurately measure the Young's modulus of wood?

    Hello, I am currently carrying out an dynamic investigation of young's modulus for various linear materials such as copper, steel, and nylon but I am unsure how to find the modulus for wood. I have several ideas including fixing one end of a sample length of wood to bench while placing a...
  25. S

    How can I calculate the elongation of a steel rod in an amusement park ride?

    An amusement park ride consists of airplane-shaped cars attached to steel rods. Each rod has a length of 14.5 m and a cross-sectional area of 8.25 {\rm cm}^{2}. When operating, the ride has a maximum angular speed of 8.50 rev/min. How much is the rod stretched then? Take the Young's...
  26. M

    Young's Modulus of Wire with 0.94 kN Load

    A wire of length 4.95 m with a cross-sectional area of 0.103 cm^2 stretches by 6.55 mm when a load of 0.94 kN is hung from it. What is the Young's modulus for this wire? FA = Y (delta L/L) 0.103 (cm^2) = 1.03 × 10-5 m^2 6.55 millimeters = 0.00655 meters = 9221.4 N x 1.03 × 10-5 m^2 =...
  27. H

    Calculate Young's Modulus and Change in Diameter of Nylon Rope

    A piece of nylon rope used by a mountaineer extended by 1.5 m when carrying the load of the 80 kg mountaineer. If the total length of the rope is 50 m and its diameter is 10 mm, determine the Young’s of this material. If the Poisson’s ratio of nylon is 0.1, determine the change in the diameter...
  28. A

    Young's Modulus and the strain on a sphere due to a uniform pressure

    If I have thin shell like a beach ball inflated with air how would I calculate the change in radius and resistance there of due to the pressure inside the sphere? I have calculated the strain on the sphere to be Pr/2h where P=pressure r=radius h= thickness by cutting the sphere in half and...
  29. S

    What is the Young's Modulus of Panzani Spaghetti?

    I am working on my extended essay in IB Physics and would like to have some experimental data. More specifically I need Young's modulus of spaghetti (Panzani -- if possible :). In case you've done a lab or some other research where you calculated this value, please send me a link (or just any...
  30. L

    Young's modulus for aluminum

    "2 rods of equal length (0.45m) and diameter (1.5cm) are placed end to end. one rod is aluminium, the other is brass. if a compressive force of 8400N is applied to the rods, how much does their combined length decrease?" [ans: 0.55mm) with this question, I am not sure whether its ok to find...
  31. T

    Young's Modulus for Two Materials connected

    If Aluminum and steel are connected as one rod, and are attached to the wall and is pulled upon. How would the change in length for each material of the rod be calculated? I'm given that the Aluminum section is twice as long as the steel section, and the total change in length of the whole rod...
  32. K

    What Is the Correct Calculation for Young's Modulus in This Problem?

    Youngs Modulus Hey guys, i tried this problem on youngs modulas and got the wrong answer So i was wondering if anyone could tell me where i went wrong here or tell me how to do it properly. Problem: A 20cm brass wire of radius 1.0mm experiences an elongation of 0.49mm when a...
  33. U

    How Much Force Can a Human Femur Withstand Before Breaking?

    Young's modulus for bone is 1.5x10^10 N/m^2 and that bone will fracture if more than 1.5X10^8 N/m^2 is exerted. What is the max force that can be exerted on the femur if the effective diameter is 2.5cm? Y=F/A 1.50x10^8N/m^2 =\frac{F}{\pi (0.0125m^2)^2} F=73631N is that correct? if...
  34. J

    Alternate to standard tensile for determining young's modulus & yield

    Hi All, I have been working on a product development project and have run into a snag that I was hoping I could get some advice on. We need to determine the mechanical properties of a thin-walled nickel tube. Specifically young's modulus and yield strength. The current wall thickness...
  35. B

    Short definition of young's modulus?

    Can somebody give me a short defination of youngs modulus? I think its the way a material acts under pressure, is this correct?
  36. Z

    Capacitance, Charge Density, and Young's Modulus

    I've done a search for some help on my problem, but I haven't seen anything resemble it. Anyway my question is the following: Not all dielectrics that separate the plates of a capacitor are rigid. For example, the membrane of a nerve axon is a bilipid layer that has a finite compressibility...
  37. F

    Young's modulus of the material

    Hello again, I don't understand how to derive equations. #1 C = YI / r Y = Young's modulus of the material r = radius of curvature of the neutral surface I = geometrical moment of inertia of the cross section of the beam C = bending moment #2 I = wt^3 / 12 I = moment of inertia...
  38. R

    Young's modulus problem - need a hint

    Young's modulus problem -- need a hint There are two wires, one brass the other copper, both 50 cm long and 1.0 mm diameter. They are somehow connected to form a 1m length. A force is applied to both ends, resulting in a total length change of 0.5 mm. Given the respective young's moduluses of...
  39. M

    Young's Modulus of wood and glass

    Hello, I was wondering if anyone could tell me the young's modulus of: Graphite, Wood, Steel, Glass, Titanium, and Aluminium... I know this is a strange thing to ask, but it would really help me understand more fully the way Graphite compares with other materials. Search engines...
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