Mechanics of Materials (Custom)
16th Edition
ISBN: 9781323178867
Author: HIBBELER
Publisher: PEARSON
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Chapter 8.1, Problem 8.9P
The steel water pipe has an inner diameter of 12 in. and a wall thickness of 0.25 in. If the valve A is closed and the water pressure is 300 psi, determine the longitudinal and hoop stress developed in the wall of the pipe at point B. Draw the state of stress on a volume element located on the wall.
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Two large tanks, each holding 100 L of liquid, are interconnected by pipes, with the liquid flowing from tank
A into tank B at a rate of 3 L/min and from B into A at a rate of 1 L/min (see Figure Q1). The liquid inside each
tank is kept well stirred. A brine solution with a concentration of 0.2 kg/L of salt flows into tank A at a rate of
6 L/min. The diluted solution flows out of the system from tank A at 4 L/min and from tank B at 2 L/min. If,
initially, tank A contains pure water and tank B contains 20 kg of salt.
A
6 L/min
0.2 kg/L
x(t)
100 L
4 L/min
x(0) = 0 kg
3 L/min
B
y(t)
100 L
y(0) = 20 kg
2 L/min
1 L/min
Figure Q1 - Mixing problem for interconnected tanks
Determine the mass of salt in each tank at time t > 0:
Analytically (hand calculations)
Chapter 8 Solutions
Mechanics of Materials (Custom)
Ch. 8.1 - If it is subjected to an internal pressure of p =...Ch. 8.1 - If it is subjected to an internal pressure of p =...Ch. 8.1 - The thin-walled cylinder can be supported in one...Ch. 8.1 - If the inner diameter of the tank is 22 in., and...Ch. 8.1 - Air pressure in the cylinder is increased by...Ch. 8.1 - Determine the maximum force P that can be exerted...Ch. 8.1 - A boiler is constructed of 8-mm-thick steel plates...Ch. 8.1 - 88. The steel water pipe has an inner diameter of...Ch. 8.1 - The steel water pipe has an inner diameter of 12...Ch. 8.1 - The A-36-steel band is 2 in. wide and is secured...
Ch. 8.1 - The gas pipe line is supported every 20 ft by...Ch. 8.1 - A pressure-vessel head is fabricated by welding...Ch. 8.1 - An A-36-steel hoop has an inner diameter of 23.99...Ch. 8.1 - The ring, having the dimensions shown, is placed...Ch. 8.1 - The inner ring A has an inner radius r1 and outer...Ch. 8.1 - Two hemispheres having an inner radius of 2 ft and...Ch. 8.1 - In order to increase the strength of the pressure...Ch. 8.2 - Show the results on the left segment.Ch. 8.2 - Show the stress that each of these loads produce...Ch. 8.2 - Fundamental Problems F81. Determine the normal...Ch. 8.2 - Show the results in a differential element at the...Ch. 8.2 - Determine the state of stress at point A on the...Ch. 8.2 - Determine the magnitude of the load P that will...Ch. 8.2 - Determine the state of stress at point B. Show the...Ch. 8.2 - Determine the state of stress at point A on the...Ch. 8.2 - Determine the state of stress at point A on the...Ch. 8.2 - Show the results in a differential element at the...Ch. 8.2 - Determine the shortest distance d to the edge of...Ch. 8.2 - The plate has a thickness of 20 mm and P acts...Ch. 8.2 - Plot the distribution of normal stress acting...Ch. 8.2 - Also, plot the normal-stress distribution over the...Ch. 8.2 - If the allowable normal stress for the steel is...Ch. 8.2 - If the applied force P = 1.50 kip, determine the...Ch. 8.2 - Determine the maximum normal stress on the cross...Ch. 8.2 - If the wood has an allowable normal stress of...Ch. 8.2 - Determine the maximum normal stress along section...Ch. 8.2 - Sketch the stress distribution along section aa of...Ch. 8.2 - Sketch the normal-stress distribution acting over...Ch. 8.2 - Determine the state of stress at points A and B,...Ch. 8.2 - If the force of 100 N is applied to the handles,...Ch. 8.2 - Determine the stress components at point A on the...Ch. 8.2 - Determine the stress components at point B on the...Ch. 8.2 - Determine the normal stress developed at points A...Ch. 8.2 - Sketch the normal-stress distribution acting over...Ch. 8.2 - Determine the state of stress at points A and B,...Ch. 8.2 - Determine the state of stress at point A on the...Ch. 8.2 - Determine the state of stress at point B on the...Ch. 8.2 - Determine the state of stress acting at point D....Ch. 8.2 - Determine the state of stress acting at point E....Ch. 8.2 - If it is subjected to the force system shown,...Ch. 8.2 - Solve Prob.840 for point B.Ch. 8.2 - Determine the stress components acting on the...Ch. 8.2 - Determine the stress components acting on the...Ch. 8.2 - Neglect the weight of the block.Ch. 8.2 - Neglect the weight of the block.Ch. 8.2 - He is supported uniformly by two bars, each having...Ch. 8.2 - Determine the state of stress at point A, and show...Ch. 8.2 - Determine the state of stress at point B, and show...Ch. 8.2 - Determine the state of stress at point C, and show...Ch. 8.2 - Determine the maximum radius e at which the load P...Ch. 8.2 - Specify the region to which this load can be...Ch. 8.2 - Determine the smallest force P that can be applied...Ch. 8.2 - The coiled spring is subjected to a force P. If we...Ch. 8.2 - The pins at C and D are at the same location as...Ch. 8.2 - Determine the state of stress at point A, and show...Ch. 8.2 - Determine the state of stress at point B, and show...Ch. 8.2 - Determine the stress components at points A and B...Ch. 8.2 - Determine the stress components at points C and D...Ch. 8.2 - Determine the stress components in the support...Ch. 8.2 - Determine the stress components in the support...Ch. 8.2 - If the force at the ram on the clamp at D is P= 8...Ch. 8.2 - Determine the maximum ram force P that can be...Ch. 8.2 - and an outer radius of 3.00 in. If the face of the...Ch. 8.2 - for points E and F.Ch. 8.2 - Determine the stress components at points A and B...Ch. 8.2 - Solve Prob.8-65 for points C and D.Ch. 8.2 - Due to internal gearing, this causes the block to...Ch. 8.2 - Determine the state of stress at point A and show...Ch. 8.2 - Solve Prob.868 for point B.Ch. 8.2 - Determine the stress components at point A. Sketch...Ch. 8.2 - for the stress components at point B.Ch. 8.2 - Determine the state of stress at point A at...Ch. 8.2 - Determine the state of stress at point B at...Ch. 8 - If it supports a cable loading of 800 lb,...Ch. 8 - Determine the state of stress at point E on the...Ch. 8 - Determine the state of stress at point F on the...Ch. 8 - The suspender arm AE has a square cross-sectional...Ch. 8 - If the cross section of the femur at section aa...Ch. 8 - If it has a mass of 5 kg/m, determine the largest...Ch. 8 - and is used to support the vertical reactions of...Ch. 8 - and is used to support the vertical reactions of...
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