Fundamentals of Engineering Thermodynamics
8th Edition
ISBN: 9781118412930
Author: Michael J. Moran, Howard N. Shapiro, Daisie D. Boettner, Margaret B. Bailey
Publisher: WILEY
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Chapter 6.13, Problem 17P
To determine
The final volume in
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2. Express the following complex numbers in rectangular form.
(a) z₁ = 2еjл/6
(b) Z2=-3e-jπ/4
(c) Z3 =
√√√3e-j³/4
(d) z4 = − j³
A prismatic beam is built into a structure. You can consider the boundary conditions at A and B to be
fixed supports. The beam was originally designed to withstand a triangular distributed load, however,
the loading condition has been revised and can be approximated by a cosine function as shown in the
figure below. You have been tasked with analysing the structure. As the beam is prismatic, you can
assume that the bending rigidity (El) is constant.
wwo cos
2L
x
A
B
Figure 3: Built in beam with a varying distributed load
In order to do this, you will:
a. Solve the reaction forces and moments at point A and B.
Hint: you may find it convenient to use the principal of superposition.
(2%)
b. Plot the shear force and bending moment diagrams and identify the maximum shear force
and bending moment.
(2%)
c. Develop an expression for the vertical deflection. Clearly state your expression in terms of x.
(1%)
Question 1: Beam Analysis
Two beams (ABC and CD) are connected using a pin immediately to the left of Point C. The pin acts
as a moment release, i.e. no moments are transferred through this pinned connection. Shear forces
can be transferred through the pinned connection. Beam ABC has a pinned support at point A and a
roller support at Point C. Beam CD has a roller support at Point D. A concentrated load, P, is applied
to the mid span of beam CD, and acts at an angle as shown below. Two concentrated moments, MB
and Mc act in the directions shown at Point B and Point C respectively. The magnitude of these
moments is PL.
Moment Release
A
B
с
°
MB = PL
Mc=
= PL
-L/2-
-L/2-
→
P
D
Figure 1: Two beam arrangement for question 1.
To analyse this structure, you will:
a) Construct the free body diagrams for the structure shown above. When constructing your
FBD's you must make section cuts at point B and C. You can represent the structure as three
separate beams. Following this, construct the…
Chapter 6 Solutions
Fundamentals of Engineering Thermodynamics
Ch. 6.13 - Prob. 1ECh. 6.13 - Prob. 2ECh. 6.13 - Prob. 3ECh. 6.13 - Prob. 4ECh. 6.13 - Prob. 5ECh. 6.13 - 6. Is entropy produced within a system undergoing...Ch. 6.13 - 7. When a mixture of olive oil and vinegar...Ch. 6.13 - Prob. 8ECh. 6.13 - Prob. 9ECh. 6.13 - 10. Is Eq. 6.51a restricted to adiabatic processes...
Ch. 6.13 - Prob. 11ECh. 6.13 - 12. What is the ENERGY STAR® program?
Ch. 6.13 - Prob. 1CUCh. 6.13 - Prob. 2CUCh. 6.13 - Prob. 3CUCh. 6.13 - Prob. 4CUCh. 6.13 - Prob. 5CUCh. 6.13 - For Problems 1–6, a closed system undergoes a...Ch. 6.13 - For Problems 7–10, a gas flows through a...Ch. 6.13 - Prob. 8CUCh. 6.13 - Prob. 9CUCh. 6.13 - For Problems 7–10, a gas flows through a...Ch. 6.13 - Prob. 11CUCh. 6.13 - Prob. 12CUCh. 6.13 - Prob. 13CUCh. 6.13 - 14. A closed system undergoes a process for which...Ch. 6.13 - 15. Show that for phase change of water from...Ch. 6.13 - Prob. 16CUCh. 6.13 - Prob. 17CUCh. 6.13 - Prob. 18CUCh. 6.13 - Prob. 19CUCh. 6.13 - Prob. 20CUCh. 6.13 - Prob. 21CUCh. 6.13 - Prob. 22CUCh. 6.13 - Prob. 23CUCh. 6.13 - Prob. 24CUCh. 6.13 - Prob. 25CUCh. 6.13 - Prob. 26CUCh. 6.13 - Prob. 27CUCh. 6.13 - 28. Briefly explain the notion of microscopic...Ch. 6.13 - Prob. 29CUCh. 6.13 - Prob. 30CUCh. 6.13 - Prob. 31CUCh. 6.13 - Prob. 32CUCh. 6.13 - Prob. 33CUCh. 6.13 - Prob. 34CUCh. 6.13 - Prob. 35CUCh. 6.13 - 36. A closed system can experience a decrease in...Ch. 6.13 - 37. Entropy is produced in every internally...Ch. 6.13 - Prob. 38CUCh. 6.13 - Prob. 39CUCh. 6.13 - Prob. 40CUCh. 6.13 - Prob. 41CUCh. 6.13 - Prob. 42CUCh. 6.13 - Prob. 43CUCh. 6.13 - Prob. 44CUCh. 6.13 - Prob. 45CUCh. 6.13 - Prob. 46CUCh. 6.13 - Prob. 47CUCh. 6.13 - Prob. 48CUCh. 6.13 - Prob. 49CUCh. 6.13 - Prob. 50CUCh. 6.13 - 51. The increase of entropy principle states that...Ch. 6.13 - Prob. 52CUCh. 6.13 - Prob. 53CUCh. 6.13 - Prob. 54CUCh. 6.13 - 55. When a system undergoes a Carnot cycle, no...Ch. 6.13 - Prob. 1PCh. 6.13 - Prob. 2PCh. 6.13 - Prob. 3PCh. 6.13 - 6.4 Using the appropriate tables, determine the...Ch. 6.13 -
6.7 Using steam table data, determine the...Ch. 6.13 - 6.8 Using the appropriate table, determine the...Ch. 6.13 - Prob. 10PCh. 6.13 - 6.11 Air in a piston–cylinder assembly undergoes a...Ch. 6.13 - 6.12 Water contained in a closed, rigid tank,...Ch. 6.13 - Prob. 13PCh. 6.13 - 6.14 Five kg of nitrogen (N2) undergoes a process...Ch. 6.13 - Prob. 15PCh. 6.13 - Prob. 16PCh. 6.13 - Prob. 17PCh. 6.13 - 6.18 Steam enters a turbine operating at steady...Ch. 6.13 - Prob. 19PCh. 6.13 - 6.20 One kg of water in a piston–cylinder assembly...Ch. 6.13 - Prob. 21PCh. 6.13 - 6.22 A system consisting of 2 kg of water...Ch. 6.13 - Prob. 23PCh. 6.13 - 6.24 A gas within a piston–cylinder assembly...Ch. 6.13 - Prob. 25PCh. 6.13 - 6.26 A gas initially at 2.8 bar and 60°C is...Ch. 6.13 - Prob. 27PCh. 6.13 - Prob. 28PCh. 6.13 - Prob. 29PCh. 6.13 - Prob. 30PCh. 6.13 - Prob. 31PCh. 6.13 - Prob. 32PCh. 6.13 - 6.33 Air in a piston–cylinder assembly undergoes a...Ch. 6.13 - Prob. 34PCh. 6.13 - Prob. 35PCh. 6.13 - Prob. 36PCh. 6.13 - 6.37 Two m3 of air in a rigid, insulated container...Ch. 6.13 - Prob. 38PCh. 6.13 - 6.39 Air contained in a rigid, insulated tank...Ch. 6.13 - 6.40 Air contained in a rigid, insulated tank...Ch. 6.13 - 6.41 Air contained in a rigid, insulated tank...Ch. 6.13 - Prob. 42PCh. 6.13 - Prob. 43PCh. 6.13 - Prob. 44PCh. 6.13 - 6.45 Steam undergoes an adiabatic expansion in a...Ch. 6.13 - 6.46 Two kg of air contained in a piston-cylinder...Ch. 6.13 - Prob. 47PCh. 6.13 - Prob. 48PCh. 6.13 - 6.49 One kg of air contained in a piston-cylinder...Ch. 6.13 - Prob. 50PCh. 6.13 - Prob. 51PCh. 6.13 - Prob. 52PCh. 6.13 - Prob. 53PCh. 6.13 - Prob. 54PCh. 6.13 - 6.55 For the silicon chip of Example 2.5....Ch. 6.13 - Prob. 56PCh. 6.13 - Prob. 57PCh. 6.13 - Prob. 58PCh. 6.13 - Prob. 59PCh. 6.13 - Prob. 60PCh. 6.13 - 6.61 A 2.64-kg copper part, initially at 400 K, is...Ch. 6.13 - Prob. 62PCh. 6.13 - Prob. 63PCh. 6.13 - 6.64 As shown in Fig. P6.64, an insulated box is...Ch. 6.13 - Prob. 68PCh. 6.13 - Prob. 69PCh. 6.13 - Prob. 70PCh. 6.13 - Prob. 71PCh. 6.13 - Prob. 72PCh. 6.13 - Prob. 73PCh. 6.13 - Prob. 74PCh. 6.13 - Prob. 75PCh. 6.13 - Prob. 76PCh. 6.13 - Prob. 77PCh. 6.13 - Prob. 79PCh. 6.13 - 6.80 Water at 20 bar, 400°C enters a turbine...Ch. 6.13 - Prob. 81PCh. 6.13 - Prob. 82PCh. 6.13 - Prob. 83PCh. 6.13 - Prob. 84PCh. 6.13 - Prob. 85PCh. 6.13 - 6.86 Steam enters a well-insulated nozzle...Ch. 6.13 - Prob. 87PCh. 6.13 - 6.88 An open feedwater heater is a direct-contact...Ch. 6.13 - Prob. 89PCh. 6.13 - 6.90 Air at 600 kPa, 330 K enters a...Ch. 6.13 - Prob. 91PCh. 6.13 - Prob. 92PCh. 6.13 - Prob. 93PCh. 6.13 - Prob. 94PCh. 6.13 - Prob. 95PCh. 6.13 - Prob. 96PCh. 6.13 - Prob. 97PCh. 6.13 - Prob. 98PCh. 6.13 - 6.99 Ammonia enters the compressor of an...Ch. 6.13 - Prob. 100PCh. 6.13 - Prob. 101PCh. 6.13 - 6.102 Steam enters a turbine operating at steady...Ch. 6.13 - 6.103 Refrigerant 134a is compressed from 2 bar,...Ch. 6.13 - Prob. 104PCh. 6.13 - Prob. 105PCh. 6.13 - Prob. 106PCh. 6.13 - Prob. 107PCh. 6.13 - Prob. 108PCh. 6.13 - 6.109 Determine the rates of entropy production,...Ch. 6.13 - Prob. 110PCh. 6.13 - Prob. 111PCh. 6.13 - 6.112 Air as an ideal gas flows through the...Ch. 6.13 - 6.113 A rigid, insulated tank whose volume is 10 L...Ch. 6.13 - Prob. 114PCh. 6.13 - Prob. 115PCh. 6.13 - Prob. 116PCh. 6.13 - Prob. 117PCh. 6.13 - 6.118 Air in a piston–cylinder assembly expands...Ch. 6.13 - Prob. 119PCh. 6.13 - 6.120 Steam undergoes an isentropic compression in...Ch. 6.13 - Prob. 121PCh. 6.13 - Prob. 122PCh. 6.13 - Prob. 123PCh. 6.13 - 6.124 Air within a piston–cylinder assembly,...Ch. 6.13 - Prob. 125PCh. 6.13 - Prob. 127PCh. 6.13 - 6.128 A rigid, insulated tank with a volume of 20...Ch. 6.13 - 6.129 A rigid, insulated tank with a volume of...Ch. 6.13 - Prob. 130PCh. 6.13 - Prob. 131PCh. 6.13 - Prob. 132PCh. 6.13 - 6.133 Figure P6.133 shows a simple vapor power...Ch. 6.13 - Prob. 134PCh. 6.13 - Prob. 135PCh. 6.13 - Prob. 136PCh. 6.13 - 6.137 Air at 1600 K, 30 bar enters a turbine...Ch. 6.13 - Prob. 138PCh. 6.13 - Prob. 139PCh. 6.13 - Prob. 140PCh. 6.13 - Prob. 141PCh. 6.13 - Prob. 142PCh. 6.13 - Prob. 143PCh. 6.13 - Prob. 144PCh. 6.13 - Prob. 145PCh. 6.13 - Prob. 146PCh. 6.13 - Prob. 147PCh. 6.13 - Prob. 148PCh. 6.13 - Prob. 149PCh. 6.13 - Prob. 150PCh. 6.13 - Prob. 151PCh. 6.13 - Prob. 152PCh. 6.13 - Prob. 153PCh. 6.13 - Prob. 154PCh. 6.13 - Prob. 155PCh. 6.13 - Prob. 156PCh. 6.13 - Prob. 157PCh. 6.13 - Prob. 158PCh. 6.13 - Prob. 159PCh. 6.13 - Prob. 160PCh. 6.13 - Prob. 161PCh. 6.13 - Prob. 162PCh. 6.13 - Prob. 163PCh. 6.13 - Prob. 164PCh. 6.13 - 6.165. Steam enters a two-stage turbine with...Ch. 6.13 - Prob. 166PCh. 6.13 - Prob. 167PCh. 6.13 - Prob. 168PCh. 6.13 - Prob. 169PCh. 6.13 - Prob. 170PCh. 6.13 - 6.171. Carbon dioxide (CO2) expands isothermally...Ch. 6.13 - 6.172 Steam at 12.0 MPa, 480°C expands through a...Ch. 6.13 - Prob. 173PCh. 6.13 - Prob. 174PCh. 6.13 - Prob. 175PCh. 6.13 - Prob. 176PCh. 6.13 - Prob. 177PCh. 6.13 - Prob. 178PCh. 6.13 - Prob. 179PCh. 6.13 - Prob. 180PCh. 6.13 - Prob. 181PCh. 6.13 - 6.182 An electrically driven pump operating at...Ch. 6.13 - 6.183 As shown in Fig. P6.183, water behind a dam...Ch. 6.13 - Prob. 184PCh. 6.13 - Prob. 185PCh. 6.13 - Prob. 186P
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