For a LEHI material, the principal plane stresses and associated strains in a plane at a point are o,=36 ksi, 02=16 ksi, ɛ1=1.02 x 103, and E2=0.18 x 103. Determine the Young's modulus and Poisson ratio of the material. Hint: use the equations for principal stress for 2D plane stress for LEHI, and consider 02/01.

For a LEHI material, the principal plane stresses and associated strains in a plane at a point are o,=36 ksi, 02=16 ksi, ɛ1=1.02 x 103, and E2=0.18 x 103. Determine the Young's modulus and Poisson ratio of the material. Hint: use the equations for principal stress for 2D plane stress for LEHI, and consider 02/01.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter15: Oscillations

Section: Chapter Questions

Problem 70CP: Parcels of air (small volumes of air) in a stable atmosphere (where the temperature increases with...

See similar textbooks

Similar questions

Parcels of air (small volumes of air) in a stable atmosphere (where the temperature increases with height) can oscillate up and down, due to the restoring force provided by the buoyancy of the air parcel. The frequency of the oscillations are a measure of the stability of the atmosphere. Assuming that the acceleration of an air parcel can be modeled as 2zt2=g(z)0zz , prove that z=z0etN2 is a solution, where N is known as the Brunt-Väisälä frequency. Note that in a stable atmosphere, the density decreases with height and parcel oscillates up and down.
A specimen of oil having an initial volume of 600 cm3 is subjected to a pressure increase of 3.6 * 106 Pa, and the volume is found to decrease by 0.45 cm3. What is the bulk modulus of the material? The compressibility?
How large a pressure must be applied to water if it is to be compressed by 0.1 percent? What is the ratio of this present to atmsopheric pressure (101kPa) ? The bulk modulus of water is 2100M Pa.
The face of an aluminum plate, which is fixed in place, measures 90 cm by 90 cm. The thickness of the plate is 6 cm. A force parallel to it, produces a shear strain of 0.0060. The shear modulus of aluminum is 3.0 × 10^10 Pa. Find the displacement of the upper force.
The modulus of elasticity of a certain steel material is 200 GPa (Giga Pascal). What is the strain if the stress is limited to 6.5 x 107 Pa (Pascal)?
In the Challenger Deep of the Marianas Trench, the depth of seawater is 10.9 km and the pressure is 1.16×10^8 Pa, (about 1150 atmospheres). If a cubic meter of water is taken to this depth from the surface (where the normal atmospheric pressure is about 1.0×10^5 Pa), what is the change in its volume? Assume that the bulk modulus for seawater is the same as for freshwater 2.2×10^9 Pa. Report in cubic meters.
What is the poisson's ratio if the ratio of the shear modulus to the young's modulus is 0.4? a. 0.5 b. 0.75 c. 0.25 d. 0
The pressure in an explosion chamber is 345M Pa. What would be the per cent change in volume of piece of copper subjected to this pressure? The bulk modulus for copper is 138 G Pa.
In this limit, what is the effective spring constant k for the pendulum in the limit of small angles? In this limit, what is the effective angular frequency ω of a pendulum in the limit of small angles?
if Vf=0.8 (volume fraction fiber) longitudinal modulus=? poisson's ratio=? in-plane shear stress=?
A 100-kg mass suspended from a wire whose unstretched length is 4.00 m is found to stretch the wire by 7.00 mm. The wire has a uniform cross-sectional area of 0.100 cm^2. (A) If the load is pulled down a small additional distance and released, find the frequency at which it vibrates. Express your answer in hertz. (B) Compute Young's modulus for the wire. Express your answer pascals.
A 195-kg load is hung on a wire of length of 3.80 m, cross-sectional area 2.00 10-5 m2, and Young's modulus 8.00 1010 N/m2. What is its increase in length? ______mm