Mechanics of Materials (10th Edition)
10th Edition
ISBN: 9780134319650
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 8.2, Problem 8.50P
Determine the maximum radius e at which the load P can be applied so that no part of the post experiences a tensile stress. Neglect the weight of the post.
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A viscoelastic column is made of a material with a creep compliance of
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A group of 23 power transistors, dissipating 2 W each, are to be cooled by attaching them to a black-anodized square aluminum plate and mounting the plate on the wall of a room at 30°C. The emissivity of the transistor and the plate surfaces is 0.9. Assuming the heat transfer from the back side of the plate to be negligible and the temperature of the surrounding surfaces to be the same as the air temperature of the room, determine the length of the square plate if the average surface temperature of the plate is not to exceed 50°C. Start the iteration process with an initial guess of the size of the plate as 43 cm.
The properties of air at 1 atm and the film temperature of (Ts + T)/2 = (50 + 30)/2 = 40°C are k = 0.02662 W/m·°C, ν = 1.702 × 10–5 m2 /s, Pr = 0.7255, and β = 0.003195 K–1.
Multiple Choice
0.473 m
0.284 m
0.513 m
0.671 m
A 40-cm-diameter, 127-cm-high cylindrical hot water tank is located in the bathroom of a house maintained at 20°C. The surface
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determine the rate of heat loss from all surfaces of the tank by natural convection and radiation.
The properties of air at 32°C are k=0.02603 W/m-K, v=1.627 x 10-5 m²/s, Pr = 0.7276, and ẞ = 0.003279 K-1
The rate of heat loss from all surfaces of the tank by natural convection is
The rate of heat loss from all surfaces of the tank by radiation is
W.
W.
Chapter 8 Solutions
Mechanics of Materials (10th Edition)
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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- A 2.5-m-long thin vertical plate is subjected to uniform heat flux on one side, while the other side is exposed to cool air at 5°C. The plate surface has an emissivity of 0.73, and its midpoint temperature is 55°C. Determine the heat flux subjected on the plate surface. Uniform heat flux -Plate, € = 0.73 Cool air 5°C 7 TSUIT Given: The properties of water at Tf,c= 30°C. k=0.02588 W/m.K, v=1.608 x 10-5 m²/s Pr = 0.7282 The heat flux subjected on the plate surface is W/m²arrow_forwardHot water is flowing at an average velocity of 5.82 ft/s through a cast iron pipe (k=30 Btu/h-ft-°F) whose inner and outer diameters are 1.0 in and 1.2 in, respectively. The pipe passes through a 50-ft-long section of a basement whose temperature is 60°F. The emissivity of the outer surface of the pipe is 0.5, and the walls of the basement are also at about 60°F. If the inlet temperature of the water is 150°F and the heat transfer coefficient on the inner surface of the pipe is 30 Btu/h-ft².°F, determine the temperature drop of water as it passes through the basement. Evaluate air properties at a film temperature of 105°C and 1 atm pressure. The properties of air at 1 atm and the film temperature of (Ts+ T∞)/2 = (150+60)/2 = 105°F are k=0.01541 Btu/h-ft-°F. v=0.1838 × 10-3 ft2/s, Pr = 0.7253, and ẞ = 0.00177R-1arrow_forwardhand-written solutions only, please. correct answers upvoted!arrow_forward
- hand-written solutions only, please. correct answers upvoted!arrow_forward! Required information Consider a flat-plate solar collector placed horizontally on the flat roof of a house. The collector is 1.3 m wide and 2.8 m long, and the average temperature of the exposed surface of the collector is 42°C. The properties of air at 1 atm and the film temperature are k=0.02551 W/m-°C, v = 1.562 × 10-5 m²/s, Pr = 0.7286, and ẞ= 0.003356 K-1 Determine the rate of heat loss from the collector by natural convection during a calm day when the ambient air temperature is 8°C. The rate of heat loss from the collector by natural convection is W.arrow_forwardhand-written solutions only, please. correct answers upvoted!arrow_forward
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