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.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter15: Fluids

Section: Chapter Questions

Problem 9PQ

See similar textbooks

Similar questions

An aluminium (=2.7g/cm3) wire is suspended from the ceiling and hangs vertically. How long must the wire be before the stress at its upper end reaches the proportionality limit, which is 8.0107N/m2 ?
Review the relationship between stress and strain. Can you find any similarities between the two quantities?
Two thin rods, one made of steel and the other of aluminium, are joined end to end. Each rod is 2.0m long and has cross-sectional area 9.1mm2 . If a 10,000N tensile force is applied at each end of the combination, find: (a) stress in each rod; (b) strain in each rod; and, (c) elongation of each rod.
Check Your Understanding Explain why the concepts of Young’s modulus and shear modulus do not apply to fluids.
Check Your Understanding If the normal force acting on each face of a cubical 1.0m3 piece of steel is changed by 1.0107 N. find the resulting change in the volume of the piece of steel.
Normal forces of magnitude 1.0106N are applied uniformly to a spherical surface enclosing a volume of a liquid. This causes the radius of the surface to decrease from 50.000 cm to 49.995 cm. What is the bulk modulus of the liquid?
A 100-N weight is attached to a free end of a metallic wire that hangs from the ceiling. When a second 100-N weight is added to the wire, it stretches 3.0 mm. The diameter and the length of the wire are 1.0 mm and2.0 m, respectively. What is Young’s modulus of the metal used to manufacture the wire?
Assume Youngs modulus for bone is 1.50 1010 N/m2. The bone breaks if stress greater than 1.50 108 N/m2 is imposed on it. (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 2.50 cm? (b) If this much force is applied compressively, by how much does the 25.0-cm-long bone shorten?
One end of a vertical metallic wire of length 2.0m and diameter 1.0mm is attached to a ceiling, and the other end is attached to a 5.0N weight pan, as shown below. The position of the pointer before the pan is 4.000cm . Different weights are then added to the pan area, and the position of the pointer is recorded in the table shown. Plot stess versus strain for this wire, then the use the resulting curve to determine Young’s modulus and the proportionality limit of the metal. What metal is this most likely to be?
Two rods, one made of copper and the other of steel, have the same dimensions. If the copper rod stretches by 0.15mm under some stress, how much does the steel rod stretch under the same stress?
Can compress stress be applied to a rubber band?
By how much does a 65.0kg mountain climber stretch her 0.800cm diameter nylon rope when she hangs 35.0m below a rock outcropping? (For nylon, Y=1.35109Pa. )