HEAT+MASS TRANSFER:FUND.+APPL.
6th Edition
ISBN: 9780073398198
Author: CENGEL
Publisher: RENT MCG
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Chapter 2, Problem 126CP
To determine
The reason for utilizing simplifiedassumptions while deriving differential equations.
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I have figured out the support reactions, Ay = 240 kN, Ax = 0 kN, Ma = 639.2 kN*m and the constant term for V(x) is 240. I am not figuring out the function of x part right. Show how to derive V(x) and M(x) for this distributed load.
2.4 (A). A 75 mm diameter compound bar is constructed by shrinking a circular brass bush onto the outside of a
50 mm diameter solid steel rod. If the compound bar is then subjected to an axial compressive load of 160 kN
determine the load carried by the steel rod and the brass bush and the compressive stress set up in each material.
For steel, E 210 GN/m²; for brass, E = 100 GN/m². [I. Struct. E.] [100.3, 59.7 kN; 51.1, 24.3 MN/m².]
1.7 (A). A bar ABCD consists of three
sections: AB is 25 mm square and 50
mm long, BC is of 20 mm diameter and
40 mm long and CD is of 12 mm
diameter and 50 mm long. Determine
the stress set up in each section of the
bar when
it is subjected to an axial tensile load
of 20 kN. What will be the total
extension of the bar under this load?
For the bar
material, E = 210GN/m2. [32,63.7,
176.8 MN/mZ, 0.062mrn.l
10:41 م
Chapter 2 Solutions
HEAT+MASS TRANSFER:FUND.+APPL.
Ch. 2 - How does transient heat transfer from steady heat...Ch. 2 - Is heat transfer a scalar or a vector quantity?...Ch. 2 - Does a hear flux vector at a point P on an...Ch. 2 - From a heat transfer point of view, what is the...Ch. 2 - What is heat generation in a solid? Give examples.Ch. 2 - Heat generation is also referred to as energy...Ch. 2 - In order to size the compressor of a new...Ch. 2 - In order to determine the size of the heating...Ch. 2 - Consider a round potato being baked in an oven....Ch. 2 - Consider an egg being cooked in boiling water in a...
Ch. 2 - Prob. 11CPCh. 2 - Consider the cooking process of a roast beef in an...Ch. 2 - Consider heat loss from a 200-L cylindrical hot...Ch. 2 - Consider a cold canned drink left on a dinner...Ch. 2 - Heat flux meters use a very sensitive device know...Ch. 2 - Prob. 16PCh. 2 - Consider a large 3-cm-thick stainless steel plate...Ch. 2 - In a nuclear reactor, heat is generated uniformly...Ch. 2 - Prob. 19PCh. 2 - Prob. 20EPCh. 2 - Writer down the one-dimensional transient heat...Ch. 2 - Writer down the one-dimensional transient heat...Ch. 2 - Starting with an energy balance on rectangular...Ch. 2 - Prob. 24PCh. 2 - Prob. 25PCh. 2 - Consider a medium in which the heat conduction...Ch. 2 - Consider a medium in which the heat conduction...Ch. 2 - Consider a medium in which the heat conduction...Ch. 2 - Consider a medium in which the heat conduction...Ch. 2 - Consider a medium in which the heat conduction...Ch. 2 - Consider a medium in which the heat conduction...Ch. 2 - Consider a medium in which the heat conduction...Ch. 2 - Starting with an energy balance on a volume...Ch. 2 - Prob. 34PCh. 2 - Prob. 35PCh. 2 - What is a boundary condition? How many boundary...Ch. 2 - What is an initial condition? How many initial...Ch. 2 - What is a thermal symmetry boundary condition? How...Ch. 2 - How is the boundary condition on an insulated...Ch. 2 - It is claimed that the temperature profile in a...Ch. 2 - Why do we try to avoid the radiation boundary...Ch. 2 - Consider an aluminum pan used to cook stew on top...Ch. 2 - Prob. 43PCh. 2 - Prob. 44PCh. 2 - Heat is generated in a long wire of radius ro at a...Ch. 2 - Consider a long pipe of inner radius r1, Outer...Ch. 2 - A 2-kW resistance heater wire whose thermal...Ch. 2 - Prob. 48PCh. 2 - Prob. 49PCh. 2 - Consider a spherical shell of inner radius r1,...Ch. 2 - A container consists of two spherical layers, A...Ch. 2 - A spherical metal ball of radius ro is heated in...Ch. 2 - Prob. 53PCh. 2 - It is stated that the temperature in a plane wall...Ch. 2 - Consider one-dimensional heat conduction through a...Ch. 2 - Consider a solid cylindrical rod whose side...Ch. 2 - Consider a solid cylindrical rod whose ends are...Ch. 2 - Prob. 58PCh. 2 - Prob. 59PCh. 2 - Prob. 60PCh. 2 - Prob. 61PCh. 2 - Consider a 20-cm-thick concrete plane wall...Ch. 2 - Prob. 63PCh. 2 - Prob. 64PCh. 2 - Prob. 65PCh. 2 - Prob. 66PCh. 2 - Prob. 67PCh. 2 - Prob. 68EPCh. 2 - Prob. 69PCh. 2 - Consider a chilled-water pipe of length L, inner...Ch. 2 - Prob. 71EPCh. 2 - Prob. 72PCh. 2 - Prob. 73PCh. 2 - Prob. 74PCh. 2 - Prob. 75PCh. 2 - Prob. 76PCh. 2 - Prob. 77PCh. 2 - Prob. 78PCh. 2 - Prob. 79PCh. 2 - Prob. 80PCh. 2 - Prob. 81PCh. 2 - Prob. 82CPCh. 2 - Does heat generation in a solid violate the first...Ch. 2 - Prob. 84CPCh. 2 - Prob. 85CPCh. 2 - Prob. 86CPCh. 2 - Prob. 87PCh. 2 - Prob. 88PCh. 2 - Consider a large 3-cm thick stainless steel plate...Ch. 2 - Prob. 90PCh. 2 - Prob. 91EPCh. 2 - Prob. 92PCh. 2 - Prob. 93PCh. 2 - Prob. 94PCh. 2 - Heat is generated uniformly at a rate of 3 kW per...Ch. 2 - Prob. 96PCh. 2 - Prob. 97PCh. 2 - Prob. 98PCh. 2 - Prob. 99PCh. 2 - Prob. 100PCh. 2 - Prob. 101PCh. 2 - Prob. 102PCh. 2 - Prob. 103PCh. 2 - Prob. 104PCh. 2 - Prob. 105PCh. 2 - Prob. 106PCh. 2 - Prob. 107PCh. 2 - Prob. 108PCh. 2 - Prob. 109CPCh. 2 - When the thermal conductivity of a medium varies...Ch. 2 - The temperature of a plane wall during steady...Ch. 2 - Consider steady one-dimensional heat conduction in...Ch. 2 - Prob. 113CPCh. 2 - Prob. 114PCh. 2 - Prob. 115PCh. 2 - Prob. 116PCh. 2 - Consider a plane wall of thickness L whose thermal...Ch. 2 - Prob. 118PCh. 2 - Prob. 119PCh. 2 - A pipe is used for transporting boiling water in...Ch. 2 - Prob. 121PCh. 2 - Prob. 122PCh. 2 - Consider a spherical shell of inner radius r1 and...Ch. 2 - Prob. 124PCh. 2 - A spherical tank is filled with ice slurry, where...Ch. 2 - Prob. 126CPCh. 2 - Prob. 127CPCh. 2 - Can a differential equation involve more than one...Ch. 2 - Prob. 129CPCh. 2 - Prob. 130CPCh. 2 - Prob. 131CPCh. 2 - Prob. 132CPCh. 2 - How is integation related to derivation?Ch. 2 - Prob. 134CPCh. 2 - Prob. 135CPCh. 2 - How is the order of a differential equation...Ch. 2 - How do you distinguish a linear differential...Ch. 2 - How do you recognize a linear homogeneous...Ch. 2 - How do differential equations with constant...Ch. 2 - What kinds of differential equations can be solved...Ch. 2 - Consider a third-order linear and homogeneous...Ch. 2 - A large plane wall, with a thickness L and a...Ch. 2 - Prob. 143PCh. 2 - Prob. 144EPCh. 2 - A spherical vessel has an inner radius r1 and an...Ch. 2 - Consider a short cylinder of radius r0 and height...Ch. 2 - Prob. 147PCh. 2 - Consider a 20-cm-thick large concrete plane wall...Ch. 2 - Prob. 149PCh. 2 - Prob. 150PCh. 2 - Prob. 151PCh. 2 - Prob. 152PCh. 2 - Prob. 153PCh. 2 - Prob. 154EPCh. 2 - Prob. 155PCh. 2 - Consider a water pipe of length L=17m, inner...Ch. 2 - Prob. 157PCh. 2 - In a manufacturing plant, a quench hardening...Ch. 2 - Consider a spherical reactor of 5-cm diameter...Ch. 2 - Consider a cylindrical sheel of length L, inner...Ch. 2 - A pipe is used for transporting boiling water in...Ch. 2 - A metal spherical tank is filled with chemicals...Ch. 2 - The heat conduction equation in a medium is given...Ch. 2 - Consider a medium in which the heat conduction...Ch. 2 - Consider a large plane wall of thicness L, thermal...Ch. 2 - A solar heat flux qs is incident on a sidewalk...Ch. 2 - A plane wall of thickness L is subjected to...Ch. 2 - Consider steady one-dimensional heat conduction...Ch. 2 - The conduction eqution boundary condition for an...Ch. 2 - Prob. 170PCh. 2 - Prob. 171PCh. 2 - The temperatures at the inner and outer surfaces...Ch. 2 - The thermal conductivity of a solid depends upon...Ch. 2 - Prob. 174PCh. 2 - Prob. 175PCh. 2 - Prob. 176PCh. 2 - Prob. 177PCh. 2 - Prob. 178PCh. 2 - Write essay on heat generation in nuc1e e1 rods....Ch. 2 - Write an interactive computer program to calculate...Ch. 2 - Prob. 181P
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- 2.2 (A). If the maximum stress allowed in the copper of the cable of problem 2.1 is 60 MN/m2, determine the maximum tension which C3.75 kN.1 10:41 مarrow_forward1.1 (A). A 25mm squarecross-section bar of length 300mm carries an axial compressive load of 50kN. Determine the stress set up ip the bar and its change of length when the load is applied. For the bar material E = 200 GN/m2. [80 MN/m2; 0.12mm.larrow_forward2.1 (A). A power transmission cable consists of ten copper wires each of 1.6 mm diameter surrounding three steel wires each of 3 mm diameter. Determine the combined E for the compound cable and hence determine the extension of a 30 m length of the cable when it is being laid with a tension of 2 kN. For steel, E200 GN/mZ; for copper, E = 100 GN/mZ. C151.3 GN/mZ; 9.6 mm.] 10:41 مarrow_forward
- question 662 thank youarrow_forward1.5 (A). A simple turnbuckle arrangement is constructed from a 40 mm outside diameter tube threaded internally at each end to take two rods of 25 mm outside diameter with threaded ends. What will be the nominal stresses set up in the tube and the rods, ignoring thread depth, when the turnbuckle cames an axial load of 30 kN? Assuming a sufficient strength of thread, what maximum load can be transmitted by the turnbuckle if the maximum stress is limited to 180 MN/mz? C39.2, 61.1 MN/m2, 88.4 kN.1arrow_forward1.3 (A). Define the terms shear stress and shear strain, illustrating your answer by means of a simple sketch. Two circular bars, one of brass and the other of steel, are to be loaded by a shear load of 30 kN. Determine the necessary diameter of the bars (a) in single shear, (b) in double shear, if the shear stress in the two materials must not exceed 50 MN/m2 and 100 MN/ mZ respectively. C27.6, 19.5, 19.5, 13.8mm.l 11arrow_forward
- 1.4 (A). Two forkend pieces are to be joined together by a single steel pin of 25mm diameter and they are required to transmit 50 kN. Determine the minimum cross-sectional area of material required in one branch of either fork if the stress in the fork material is not to exceed 180 MN/m2. What will be the maximum shear stress in the pin? C1.39 x 10e4mZ; 50.9MN/mZ.] 10:41arrow_forward1.2 (A). A steel tube, 25 mm outside diameter and 12mm inside diameter, cames an axial tensile load of 40 kN. What will be the stress in the bar? What further increase in load is possible if the stress in the bar is limited to 225 MN/mZ? [lo6 MN/m3; 45 kN.1arrow_forward1.11 (a) A test piece is cut from a brass bar and subjected to a tensile test. With a load of 6.4 kN the test piece, of diameter 11.28 mm, extends by 0.04 mm over a gauge length of 50 mm. Determine: (i) the stress, (ii) the strain, (hi) the modulus of elasticity. (b) A spacer is turned from the same bar. The spacer has a diameter of 28 mm and a length of 250mm. both measurements being made at 20°C. The temperature of the spacer is then increased to 100°C, the natural expansion being entirely prevented. Taking the coefficient of linear expansion to be 18 x 10-6/"C determine: (i) the stress in the spacer, (ii) the compressive load on the spacer. [C.G.] [64MN/m2, 0.0008, 80GN/m2, 115.2 MN/m2, 71 KN.] 10:41arrow_forward
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