HEAT+MASS TRANSFER:FUND.+APPL.
6th Edition
ISBN: 9780073398198
Author: CENGEL
Publisher: RENT MCG
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Chapter 2, Problem 131CP
To determine
The condition in which partial derivative is equal to the ordinary derivative.
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CORRECT AND DETAILED HANDWRITTEN SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED.
20: A 2022 Porsche 911 (992) GT3 is crossing a 20 ft bridge. The specification of the car is shown below.Determine the maximum shear (in lb) and moment (in lb-ft) on the bridge.
ANS: Vmax = 2,680.850 lb ; Mmax = 11,233.13 lb-ft
CORRECT AND DETAILED HANDWRITTEN SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED.
Answers:
P1 = 208.625 KN/M
P2 = 281.310 KN/M
P = 15.491 KN/M
FB = 463.402 MPA
FV = 55.034 MPA
CORRECT AND DETAILED HANDWRITTEN SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED.
18: Determine the maximum shear and moment that would be experienced by a 10 m beam if a three-wheelmoving load of 10 kN, 30 kN, and 5 kN respectively will pass it by. The distance between the 1st and 2nd load is 1 m and the distance between the 2nd and 3rd load is 3 m.ANS: Vmax = 40 kN ; Mmax = 100.014 kN-m
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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- CORRECT AND DETAILED HANDWRITTEN SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. 5: A 12-m simply supported bridge is constructed with 100-mm concrete slab deck supported by precastconcrete stringers spaced 800 mm on center. Analyze the stringers when subjected to a moving load consisting of 3 evenly spaced axle loads at 3 m and equivalent to 20 kN, 30 kN and 40 kN respectively. The self-weight of the stringers is 8.5 kN/m and the concrete deck has a unit weight of 24 kN/m3 . Neglect all other superimposed loads. Calculate: (a) the maximum shear force in the stringers; (b) the maximum bending moment in the stringers. Answer: Vmax = 135.020 KN, Mmax = 477.388 KN-Marrow_forwardCORRECT AND DETAILED HANDWRITTEN SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. 19: A 22-wheeler truck is crossing over 25 m bridge. The dimensions between the axles of the truck are shownin the figure below. Axles 1 to 3 carry a 90 kN load each, axles 4 and 5 carry a 65 kN load each, and the axle directly below the cab of the truck has a load of 100 kN. Determine the maximum shear and moment on the bridge.ANS: Vmax = 374.92 kN ; Mmax = 1,702.229 kN-marrow_forwardCORRECT AND DETAILED HANDWRITTEN SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. 1. A H = 6 m cantilever retaining wall is subjected to a soil pressurelinearly varying from zero at the top to 90 kPa at the bottom. As an additionalsupport, it is anchored at depth y = 2 m. with maximum tension equal to 25kN. Assume that the stem provides fully retrained support. Draw the shearand moment diagram of the wall to calculate the following: (a) Maximumpositive bending moment per linear meter; (b) maximum negative bendingmoment per linear meter; (c) maximum shear force per linear meter. answer: +MMax = 440 kn-m, -Mmax = 0kn-M, Vmax = 245 KNarrow_forward
- CORRECT AND DETAILED HANDWRITTEN SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. 17: A simply supported beam with the section shown below has an allowableflexural shearing stress of 43 MPa. (a) Determine the maximum allowable shearing force onthe section. And (b) what is the minimum thickness of plate that should be welded at theflanges if the section is to withstand a total shearing force of 200 kN. The additional plate willhave its base dimension equal to the flange dimension.ANS: V = 179.333 kN ; t = 23.181 mmarrow_forwardCORRECT AND DETAILED HANDWRITTEN SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. Answer: A = 0.207 L(M)arrow_forwardQu 4 The 12-kg slender rod is attached to a spring, which has an unstretched length of 2 m. If the rod is released from rest when 0 = 30°, determine its angular velocity at the instant 0 = 90°. 2 m B k = 40 N/m 2 marrow_forward
- CORRECT AND DETAILED HANDWRITTEN SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. 13: A cantilever beam is of length 1.5 m,loaded by a concentrated load P at its tip as shown inFig. 8-18(a), and is of circular cross section (R = 100 mm),having two symmetrically placed longitudinal holes asindicated. The material is titanium alloy, having anallowable working stress in bending of 600 MPa.Determine the maximum allowable value of the verticalforce P. ANS: P = 236,589.076 N = 236.589 kNarrow_forwardCORRECT AND DETAILED HANDWRITTEN SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. 15: Consider a beam having an I-type cross section as shown in Fig. 8-45. Ashearing force V of 150 kN acts over the section. Determine the maximum and minimumvalues of the shearing stress in the vertical web of the section.ANS: fv(max) = 44.048 MPa ; fv(min) = 33.202 MPaarrow_forwardCORRECT AND DETAILED HANDWRITTEN SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. 12: A steel cantilever beam 16 ft 8 in in length is subjected to a concentrated load of 320 lb acting at the freeend of the bar. A commercially available rolled steel section, designated as W12x32, is used for the beam. Assume that the total depth of the beam is 12 in, and the neutral axis of the section is in the middle. Determine the maximum tensile and compressive stresses. (Properties of commercially available rolled steel section provided in the table. Z = section modulus). ANS: σT = σC = 1,572.482 lb/in2arrow_forward
- CORRECT AND DETAILED HANDWRITTEN SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. 14: Two ½-in x 8-in cover plates are welded to two channels 10 in high to formthe cross section of the beam shown in Fig. 8-59. Loads are in a vertical plane and bendingtakes place about a horizontal axis. The moment of inertia of each channel about ahorizontal axis through the centroid is 78.5 in4. If the maximum allowable elastic bendingstress is 18,000 lb/in2, determine the maximum bending moment that may be developedin the beam.ANS: 1,236,000 lb-in.arrow_forwardCORRECT AND DETAILED HANDWRITTEN SOLUTION WITH FBD ONLY. I WILL UPVOTE THANK YOU. CORRECT ANSWER IS ALREADY PROVIDED. 11: A beam of circular cross section is 7 in in diameter. It is simply supported at each end and loaded by twoconcentrated loads of 20,000 lb each, applied 12 in from the ends of the beam. Determine the maximum bending stressin the beam. ANS: σ = 7,127.172 lb/in2arrow_forwardusing the theorem of three moments, find all the reactions and supportsarrow_forward
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