A circular tank of 3.91m in diameter is uniformly loaded with 100 kPa. Compute: a) The stresses under the center of the tank at a depth of 2m below the tank and compute the stresses under the edge of the tank, also at a depth of 2m. b) Compare the stress computed only under the center of the tank at a depth of 2m from previous numeral, but now using the solution of "uniformly loaded rectangular area." This is done after converting the circle into an equivalent square. Discuss the results.

A circular tank of 3.91m in diameter is uniformly loaded with 100 kPa. Compute: a) The stresses under the center of the tank at a depth of 2m below the tank and compute the stresses under the edge of the tank, also at a depth of 2m. b) Compare the stress computed only under the center of the tank at a depth of 2m from previous numeral, but now using the solution of "uniformly loaded rectangular area." This is done after converting the circle into an equivalent square. Discuss the results.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

During heavy lifting, a disk between spinal vertebrae is subjected to a 4750-N compression force. What pressure is created on the disk, in pascals, assuming that the disk has a uniform cross section 1.9cm in radius P? What deformation is produced, in centimeters, if the disk is 0.95 cm thick and has a Young's modulus of 1.45x10^9 N/m^2?
Problem 4: For the bar and loading condition shown below, determine (a) the radius of curvature, p (b) the radius of curvature, p' of a transverse cross- section, (c) the angle between the sides of the bar that were originally vertical. Use, Young's Modulus, E = 200 kPa and Poisson's Ratio, v = 0.29. %3D 1.6 m M' N. A.
(a) A man weighing 742 N lies on a bed of nails. Find the average pressure exerted by a nail on his skin if there are 1110 nails and the flattened point on each nail has a radius of 0.500 mm.(b) Calculate the pressure exerted on the skin by an acupuncture needle of radius 0.100 mm applied with a force of 4.20 N.
A certain hydraulic system is designed to exert a force 405 times as large as the one put into it. (a) What must be the ratio of the area of the slave cylinder to the area of the master cylinder? (b) What must be the ratio of their diameters? (c) By what factor is the distance through which the output force moves reduced relative to the distance through which the input force moves? Assume no losses to friction.
What outward force (in N) is needed on the outside of a lung to create the pressure P noted in the figure below, where P = -5.00 mm Hg? -2.0 mm Hg Take the area affected to be 280 cm2. (This force is easily created by the diaphragm and chest muscles, as we breathe many times a day.)
Review: A soild sphere of brass (bulk modulus of 14.0 x 1010N/m2) with a diameter of 3.00m is thrown into the ocean by how much does the diameter of the sphere decrese as it sinks to a depth of 1.00km?
The maximum depth recorded for a deep-sea dive is 308 m. Assuming that (i) the density of seawater is constant at 1.03 x 103 kg/m3 and (ii) the atmospheric pressure is 101 kPa, calculate the gauge pressure at this depth (in Pa and kPa).
A cube of wood floating in water supports a 200-g mass resting on the center of its top face. When the mass is removed, the cube rises 2.00cm. Determine the volume of the cube.
Assuming bicycle tires are perfectly flexible and support the weight of bicycle and rider by pressure alone, calculate the total area (in m2) of the tires in contact with the ground. The bicycle plus rider has a mass of 80.0 kg, and the gauge pressure in the tires is 3.50×105 Pa.
A reservoir has the shape of a sphere with radius 6 m. It is filled up to 10 m with water. (i) Let z be the height in meters measured from the base of the reservoir. The weight in Newtons of a thin layer of water between zand z+Az is approximately P (1) Az. What is P (1) ? P (2) = Express the answer using a formula. Recall that the density of water is p = 1000 Kg/m³ and the acceleration due to gravity on the earth's surface is g = 9.8 m (ii) The work in Joules required to pump the thin water layer to 2 meters above the reservoir is approximately w (1) Az. What is w (1) ? w (x) = Express the answer as a formula. (iii) Using pro Answer: TYMINUCI Joules m
it’s a lovely day and you decide to launch a giant helium balloon. Once filled, your balloon is a perfect sphere with a radius of 6.90 m. You consider having the balloon lift a crate of water balloons. What is the maximum weight the filled helium balloon can just lift (solve for the equilibrium condition where upward force equals downward force)? Assume that the membrane of the helium balloon has a mass of 920 kg (this does not include the mass of the helium within nor the mass of the crate). Neglect the buoyant force on the crate of water balloons. Density of He is 0.179 kg/m3. Density of air is 1.29 kg/m3. Volume of a sphere is 4/3 π r3. Weight is in N (not kg)
The total cross-sectional area of the load-bearing calcified portion of the two forearm bones (radius and ulna) is approximately 2.3 cm2. During a car crash, the forearm is slammed against the dashboard. The arm comes to rest from an initial speed of 80 km/h in 5.1 ms. If the arm has an effective mass of 3.0 kg, what is the compressional stress that the arm withstands during the crash? Pa