An aluminium ball with Bulk Modulus of 70 x 10° N/M2 with radius of 0.5m falls...
Problem 4. Consider a spherical aluminium ball with radius a at initial temperature To. When the temperature is raised to T such as the temperature variation is denoted AT=T- To, the ball will expand in the same way for all directions. The related eigenstrain tensor et, is the thermal strain. The coefficient of thermal expansion of AL is denoted aa. Isotropic elasticiy is assumed with Ea and Va the Young's modulus and the Poisson's ratio of aluminium, respectively. (a) Find...
Steel Young's Modulus (Y) 20 X 1010 N/m2 Shear Modulus (S) 8.1 X 1010 N/m2 Bulk Modulus (B) 16 X 1010 N/m2 The table to the above represents various properties of steel. You have steel wire 4.4 meters in length that stretches 0.12 cm when subjected to a force of 300 N. 1)What is the diameter of the wire? d1 =__________ cm 3)What would the diameter of the wire be if you wanted the wire to stretch 0.06 cm less...
The bulk modulus of water is 8 - 2.2 x 10' N/m". What change in pressure AP (in atmospheres) is required to keep water from expanding when it is heated from 18.6 °C to 33.0°C? Number Units atm the tolerance is +/-29
The pressure increases by 1.0 x 104 N/m2 for every meter of depth beneath the surface of the ocean. At what depth does the volume of a Pyrex (bulk modulus 2.6 x 1010 N/m2) glass cube, 8.7 x 10-2 m on an edge at the ocean's surface, decrease by 3.7 x 10-10 m3?
An 9.15-kg stone at the end of a steel (Young's modulus 2.0 x 10^11 N/m2) wire is being whirled in a circle at a constant tangential speed of 13.9 m/s. The stone is moving on the surface of a frictionless horizontal table. The wire is 4.40 m long and has a radius of 3.25 x 10^-3 m. Find the strain in the wire.
The pressure increases by 1.0 x 104 N/m2 for every meter of depth beneath the surface of the ocean. At what depth does the volume of a Pyrex (bulk modulus 2.6 x 1010 N/m2) glass cube, 1.2 x 10-2 m on an edge at the ocean's surface, decrease by 9.3 x 10-10 m3
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a) Calculate the modulus of a cross-ply HS-carbon/epoxy laminate. Longitudinal fibre modulus (En)-230 GPa; transverse fibre modulus (E122)-20 GPa; matrix modulus (En)-3 GPa; fibre volume fraction (V) : 60%. [5 marks] b)(1) Explain the difference in failure of a single fibre in air and a single fibre embedded [5 marks] in a matrix. (2) How can a test that involves the fracture...
8. Young's modulus Y of aluminum is 7 x 101°N/m2 , If you apply 10' N force to end of a wire radius 1 cm, length 1 m) hanging from ceiling, how much will the length increase (a) 7cm (b) 0.00007m (c)2.29m (d) none of them solution : (d) (F/A) = Y(AL/L), thus AL = (FL)/(YA) = (104 x 1)/(7 x 1010 X7X (0.01)2) = 10-2/(77) = 0.045 x 10-?m
The shear modulus of steel is 8.1 × 1010 N/m2. A steel nail of radius 7.5 × 10–4 m projects 0.040 m horizontally outward from a wall. A man hangs a wet raincoat ofweight 28.5 N from the end of the nail. Assuming the wall holds its end of the nail, what is the vertical deflection of the other end of the nail?
A small spherical ball of density p and radius a is released from rest and falls under gravity in a viscous liquid of density pf and viscosity u. Its vertical position is denoted by z(t), and we choose the origin such that z(0) = 0. The ball is subjected to two forces: its weight corrected for buoyancy F, = (p-p Vg, where g is the acceleration of gravity pointing in the - z direction and V = 47a/3 is the...