Fundamentals of Thermal-Fluid Sciences
5th Edition
ISBN: 9780078027680
Author: Yunus A. Cengel Dr., Robert H. Turner, John M. Cimbala
Publisher: McGraw-Hill Education
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Chapter 18, Problem 83P
To determine
Define the product solution method. State how it is used to find the transient temperature distribution in a two-dimensional system.
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(10) A regular cross-section XXY mm beam, where X=84 m and Y=77 m and 1800 mm long, is loaded from above in the middle with a load of Z=2 kN causing a compressive Bending Stress at the top of the beam and tensile Bending Stress at
the bottom of the beam. The beam in addition experiences a tensile end loading in order to reduce the compressive stress in the beam to a near zero value. The configuration of the beam is illustrated in Figure Q10.
Calculate the end loading force required in order to reduce total compressive stress experienced in the beam to be near zero?
State your answer to the nearest 1 decimal place in terms of kilo-Newtons.
X mm
Y mm
? KN
Z KN
Figure Q10
1800 mm
? KN
(13) A cylindrical beam of length 2 m and diameter of 120 mm, is arranged with a loading in the middle and two supports either end, as
shown in Figure Q13.
Given the shaft is made of metal which has a tensile strength of 350 MPa.
Select the safest Factor of Safety (FOS) to 1 decimal place that the design engineer should work to.
100 kN
○ A. 1.2
○ B. No Valid Answer
○ c. 1.1
O
D.3.7
E. 0.8
2 m
Figure Q13
120 mm
The pin-connected assembly consists of bronze rods (1) and (2) and steel rod (3). The
bronze rods each have a diameter of 12mm and an elastic modulus of E=120GPa. The
steel rod has a diameter of 18mm and an elastic modulus of E 210 GPa. Assume a=
2.0 m, b=1.5 m, and c = 2.0 m. What is the magnitude of load P that is necessary to
displace point A 5mm to the left?
a
5.52kN
17.05kN
5.05kN
d 6.75kN
Right answer need, no
chatgpt,only handwritten
Chapter 18 Solutions
Fundamentals of Thermal-Fluid Sciences
Ch. 18 - Prob. 1PCh. 18 - Prob. 2PCh. 18 - In what medium is the lumped system analysis more...Ch. 18 - Prob. 4PCh. 18 - Prob. 5PCh. 18 - Prob. 6PCh. 18 - Prob. 7PCh. 18 - Consider a hot baked potato on a plate. The...Ch. 18 - Prob. 9PCh. 18 - Prob. 10P
Ch. 18 - Prob. 11PCh. 18 - Prob. 12PCh. 18 - Prob. 13PCh. 18 - Prob. 14PCh. 18 - Consider a 1000-W iron whose base plate is made of...Ch. 18 - Metal plates (k = 180 W/m·K, ρ = 2800 kg/m3, and...Ch. 18 - A 5-mm-thick stainless steel strip (k = 21 W/m·K,...Ch. 18 - A long copper rod of diameter 2.0 cm is initially...Ch. 18 - Prob. 21PCh. 18 - Steel rods (ρ = 7832 kg/m3, cp = 434 J/kg·K, and k...Ch. 18 - Prob. 23PCh. 18 - The temperature of a gas stream is to be measured...Ch. 18 - Prob. 25PCh. 18 - A thermocouple, with a spherical junction diameter...Ch. 18 - Prob. 27PCh. 18 - Prob. 28PCh. 18 - Carbon steel balls (ρ = 7833 kg/m3, k = 54 W/m·K,...Ch. 18 - Prob. 31PCh. 18 - Prob. 32PCh. 18 - Prob. 33PCh. 18 - Prob. 34PCh. 18 - Prob. 35PCh. 18 - Prob. 36PCh. 18 - Prob. 37PCh. 18 - Prob. 38PCh. 18 - Prob. 39PCh. 18 - A body at an initial temperature of Ti is brought...Ch. 18 - In a meat processing plant, 2-cm-thick steaks (k =...Ch. 18 - Prob. 42PCh. 18 - Prob. 43PCh. 18 - Prob. 45PCh. 18 - Prob. 46PCh. 18 - Prob. 47PCh. 18 - Prob. 48PCh. 18 - Prob. 49PCh. 18 - A long iron rod (ρ = 7870 kg/m3, cp = 447 J/kg·K,...Ch. 18 - Prob. 51PCh. 18 - A long 35-cm-diameter cylindrical shaft made of...Ch. 18 - Prob. 54PCh. 18 - Prob. 55PCh. 18 - Prob. 56PCh. 18 - A father and son conducted the following simple...Ch. 18 - Prob. 58PCh. 18 - Prob. 59PCh. 18 - Citrus fruits are very susceptible to cold...Ch. 18 - Prob. 61PCh. 18 - Prob. 63PCh. 18 - Prob. 64PCh. 18 - Prob. 65PCh. 18 - White potatoes (k = 0.50 W/m·K and α = 0.13 × 10−6...Ch. 18 - Prob. 67PCh. 18 - Prob. 68PCh. 18 - Prob. 69PCh. 18 - Consider a hot semi-infinite solid at an initial...Ch. 18 - Prob. 71PCh. 18 - Prob. 72PCh. 18 - Prob. 73PCh. 18 - Prob. 74PCh. 18 - Prob. 75PCh. 18 - Prob. 76PCh. 18 - Prob. 77PCh. 18 - Prob. 78PCh. 18 - Prob. 79PCh. 18 - Prob. 81PCh. 18 - Prob. 82PCh. 18 - Prob. 83PCh. 18 - Prob. 84PCh. 18 - Prob. 85PCh. 18 - Prob. 86PCh. 18 - Prob. 88PCh. 18 - Prob. 89PCh. 18 - A 2-cm-high cylindrical ice block (k = 2.22 W/m·K...Ch. 18 - Prob. 91PCh. 18 - Prob. 93PCh. 18 - Prob. 94RQCh. 18 - Large steel plates 1.0-cm in thickness are...Ch. 18 - Prob. 96RQCh. 18 - Prob. 97RQCh. 18 - Prob. 98RQCh. 18 - Prob. 99RQCh. 18 - Prob. 100RQCh. 18 - Prob. 101RQCh. 18 - Prob. 102RQCh. 18 - The water main in the cities must be placed at...Ch. 18 - Prob. 104RQCh. 18 - Prob. 105RQCh. 18 - Prob. 106RQCh. 18 - Prob. 107RQ
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- The pin-connected assembly consists of bronze rods (1) and (2) and steel rod (3). The bronze rods each have a diameter of 12mm and an elastic modulus of E=120GPa. The steel rod has a diameter of 18mm and an elastic modulus of E 210 GPa. Assume a= 2.0 m. b = 1.5 m, and c = 2.0 m. What is the magnitude of load P that is necessary to displace point A 5 mm to the left? Solution must be in handwritten format,No Chatgpt 10 5.52kN b 17.05kN 5.05kN 6.75kN (3)arrow_forwardWater at 27°C flows with a velocity of 3m/s along a 200mm diameter tube which is maintained at uniform temperature of 100 °C. What is the local heat flux at x = 4 m from the leading edge of the tube? Assume fully developed flow, for water: K=0.655 W/mK, =5.93×10 Ns/m², Pr=3.785 Must be handwritten a 596.44kW/m2 b 1192.88kW/m2 C 492.86kW/m2 648.96kW/m²arrow_forwardWater at 27°C flows with a velocity of 3m/s along a 200mm diameter tube which is maintained at uniform temperature of 100 °C. What is the local heat flux at x=4 m from* the leading edge of the tube? Assume fully developed flow, for water: K=0.655 W/mK, =5.93×10 Ns/m², Pr=3.785 No Chatgpt a 596.44kW/m2 b 1192.88kW/m2 492.86kW/m² d 648.96kW/m²arrow_forward
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- PLEASE SOLVE STEP BY STEP WITHOUT ARTIFICIAL INTELLIGENCE OR CHATGPT SOLVE BY HAND STEP BY STEParrow_forwardConsider the bar, shown in Figure 1 that undergoes axial displacement due to both a distributed load and a point force. The bar is of cross-sectional area A = 1.10-3 m², and has a modulus of elasticity E = 100 GPa. 1(x) = 5 kN/m x=0.0 x=2.0 2.0m 10 kN Figure 1: Bar domain with varying distributed forces. a) The general form of the governing equations describing the bar's displacement, u(x), is given by, d (AE du(x)) -) +1(x) = 0. d.x dx What are the accompanying boundary conditions for this bar? b) Using the mesh in Figure 2, form the basis functions associated with element 2 and write the FEM approximation over the element. 1 2 3 1 2 1m 1m Figure 2: Mesh of 2 elements. Elements are numbered with underlines. c) The general form of the element stiffness matrix system, with nodes indexed by i and j, is, AE Uj N;(x)l(x)dx – Ng(0)f(0) ¥ [4]}]{{}}={{{}\(\\+} + {N(2)f(2) = N (0)5() }, (1) 0, respectively. L = (2) where f(2) and f(0) denote the boundary forces at positions x 2 and x Evaluate…arrow_forwardanswer pleasearrow_forward
- amination) Question 1 Consider the bar, shown in Figure 1, that undergoes axial displacement due to both a distributed load and a point force. The bar is of cross-sectional area A = 1.103 m2, and has a modulus of elasticity E = 100 GPa. 1(x) = 5 kN/m 10 kN X x=0.0 x=2.0 2.0m Figure 1: Bar domain with varying distributed forces. a) The general form of the governing equations describing the bar's displacement, u(x), is given by, d (AE du(x)) + 1(x) = 0. dx dx What are the accompanying boundary conditions for this bar? MacBook Air a 会 DII F5 F6 F7 F8 80 F3 F4 0/ 20 [8 marksl 8 FOarrow_forwardAnswer Barrow_forwardfem helpUsing the mesh in Figure 2, form the basis functions associated with element 2 and write the FEMapproximation over the element.arrow_forward
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