Sign up for free to view: Nix, and Thomas W. Silicon, the most common single material used in microelectromechanical systems MEMSis an anisotropic crystalline material whose material properties depend on orientation relative to the crystal lattice.
A cube of copper with mm sides is subjected to a shear force of N. Find a the shear stress on the cube, b the shear strain on the cube, c the shear displacement of the upper face, and d the angle in degrees the side makes with the normal. Answer S3 Example S4 A solid sphere is immersed in a liquid so that the hydrostatic pressure is 6.
Find the bulk modulus.
Answer S4 From the table, this material could be iron or steel. Example S5 A cube of isotropic material experiences a uniform hydrostatic pressure, P. Answer S5 The total strain the x direction is due to stress in the x, y and z directions.
Take the x direction first: Now consider the y stress: The total strain in the x direction, due to stresses in the x, y and z directions is: Example S6 Starting from a uniform hydrostatic pressure on a cube of side: For a uniform hydrostatic pressure on a cube of side.
From example S5, there is a strain in each direction given by: The new length of each side is given from the definition of strain. The new lengths are each The new volume is: The fractional change in volume is: From the definition of the bulk modulus: Example S7 Poisson's ratio example with a single Tensile stress Find the value of Poisson's ratio, for no volume change to occur under a small tensile stress in the x direction.
The new x length is: The new volume is: For no change in volume: It has Young's modulus of GPa, Poisson's ratio of 0. Answer S8 a For the volume change. The volume change comes from the definition of Bulk Modulus.
The total Bulk Stress is needed and comes from the stresses in the three directions. The Bulk Modulus is needed and comes from Young's modulus and Poisson's ratio.
Combining these results gives the ratio: The volume change is: The total stress must equal zero The compressive stress and force for this is:No.
Young's modulus is a property that's inherent to the material, so the load applied to the material won't change its value.
From a more mathematical perspective, Young’s modulus is the slope of the stress-strain curve where only elastic deformation occurs, or the part of . The elastic coefficients for an arbitrary rectangular coordinate system are calculated as a function of direction cosines in the crystal.
Young's modulus, shear modulus, and Poisson's ratio are defined in general and values tabulated for some of the more important directions in the crystal. Nov 02, · Relation Between Young's Modulus and Density Showing of 15 messages.
Of course, they also care about whether or not it breaks, but how far it bends matters as well.
Re: Relation Between Young's Modulus and Density The relevent elastic modulus is Young's modulus. From Y and the geometry, you get the stiffness.
A-level Physics (Advancing Physics)/Stress, Strain & Young's Modulus/Worked Solutions From Wikibooks, open books for an open world Physics (Advancing Physics) | Stress, Strain & Young's Modulus. The Young's modulus is a measure of how stiff a bar of material is along its axis.
It is equal to the stress applied divided by the resulting elastic strain. It is equal to the stress applied divided by the resulting elastic . Jul 24, · Engineering Physics _ Young's Modulus?
A steel cable with cross-sectional area cm2 has an elastic limit of × N/m2. Assuming the cable is not stretched, find the maximum upward acceleration that can be given an elevator of mass kg supported by the cable if the stress is not to exceed one-third of the elastic lausannecongress2018.com: Open.