System Dynamics
3rd Edition
ISBN: 9780073398068
Author: III William J. Palm
Publisher: MCG
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Chapter 1, Problem 1.7P
The speed limit in some countries is 100 kilometers per hour. I-low fast is that in miles per hour?
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1. A simply supported shaft is shown in Figure 1 with wo = 25 N/cm and M = 20 N cm. Use
singularity functions to determine the reactions at the supports. Assume EI = 1000 kN cm².
M
Wo
0 10 20 30 40 50 60 70
80 90
100 110 cm
Figure 1 - Problem 1
2. A support hook was formed from a rectangular bar. Find the stresses at the inner and outer
surfaces at sections just above and just below O-B.
210 mm
A distillation column with a total condenser and a partial reboiler is separating ethanol andwater at 1.0 atm. Feed is 0.32 mol fraction ethanol and it enters as a saturated liquid at 100mol/s on the optimum plate. The distillate product is a saturated liquid with 80 mol% ethanol.The condenser removes 5615 kW. The bottoms product is 0.05 mol fraction ethanol. AssumeCMO is valid.(a) Find the number of equilibrium stages for this separation. [6 + PR](b) Find how much larger the actual reflux ratio, R, used is than Rmin, i.e. R/Rmin. [3]Note: the heats of vaporization of ethanol and water are λe = 38.58 and λw = 40.645
Chapter 1 Solutions
System Dynamics
Ch. 1 - Prob. 1.1PCh. 1 - Folklore has it that Sir Isaac Newton formulated...Ch. 1 - A ball is thrown a distance of 50 feet. 5 inches....Ch. 1 - An American football field is 100 yards long. How...Ch. 1 - How long is a 100-meter dash in feet?Ch. 1 - Convert 50 feet per second to miles per hour.Ch. 1 - The speed limit in some countries is 100...Ch. 1 - How many 60 watt lightbulbs are equivalent to one...Ch. 1 - Convert the temperature of 70°F to °C.Ch. 1 - Convert 30°C to °F.
Ch. 1 - A particular motor rotates at 3000 revolutions per...Ch. 1 - The displacement of a certain object is described...Ch. 1 - Prob. 1.13PCh. 1 - The displacement in meters of a certain vibrating...Ch. 1 - The distance a spring stretches from its “free...Ch. 1 - The following “small angle” approximation for the...Ch. 1 - Prob. 1.17PCh. 1 - Obtain two linear approximations of the function...Ch. 1 - Prob. 1.19PCh. 1 - Obtain two linear approximations of the function...Ch. 1 - Obtain a linear approximation of the function fh=h...Ch. 1 - The flow rate f in m3/s of water through a...Ch. 1 - Prob. 1.23PCh. 1 - The population data for a certain country are...Ch. 1 - Prob. 1.25PCh. 1 - Quenching is the process of immersing a hot metal...Ch. 1 - The useful life of a machine bearing depends on...Ch. 1 - 1.28 A certain electric circuit has a resistor and...Ch. 1 - 1.29 Water (of volume 425 ml) in a glass measuring...Ch. 1 - Consider the milk container of Example 1.4.2...Ch. 1 - Consider the milk container of Example 1.4.2...
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- We have a feed that is a binary mixture of methanol and water (60.0 mol% methanol) that issent to a system of two flash drums hooked together. The vapor from the first drum is cooled,which partially condenses the vapor, and then is fed to the second flash drum. Both drumsoperate at 1.0 atm and are adiabatic. The feed to the first drum is 1000 kmol/hr. We desire aliquid product from the first drum that is 35.0 mol% methanol. The second drum operates at afraction vaporized of (V/F)2 = 0.25.(a) Find the liquid flow rate leaving the first flash drum, L1 (kmol/hr). [286 kmol/hr](b) Find the vapor composition leaving the second flash drum, y2. [0.85]arrow_forward= The steel curved bar shown has rectangular cross-section with a radial height h = 6 mm and thickness b = 4mm. The radius of the centroidal axis is R = 80 mm. A force P = 10 N is applied as shown. Assume the steel modulus of 207,000 MPa and G = 79.3(103) MPa, repectively. elasticity and shear modulus E = Find the vertical deflection at point B. Use Castigliano's method for a curved flexural member and since R/h > 10, neglect the effect of shear and axial load, thereby assuming that deflection is due to merely the bending moment. Note the inner and outer radii of the curves bar are: r = 80 + ½ (6) = 83 mm, r₁ = 80 − ½ (6) = 77 mm 2 2 Sπ/2 sin² 0 d = √π/² cos² 0 d0 = Π 0 4 大 C R B Parrow_forwardThe steel eyebolt shown in the figure is loaded with a force F = 75 lb. The eyebolt is formed from round wire of diameter d = 0.25 in to a radius R₁ = 0.50 in in the eye and at the shank. Estimate the stresses at the inner and outer surfaces at section A-A. Notice at the section A-A: r₁ = 0.5 in, ro = 0.75 in rc = 0.5 + 0.125 = 0.625 in Ri 200 F FAarrow_forward
- I have the fallowing question and solution from a reeds naval arc book. Im just confused as to where this answer came from and the formulas used. Wondering if i could have this answer/ solution broken down and explained in detail. A ship of 7000 tonne displacement has a waterplane areaof 1500 m2. In passing from sea water into river water of1005 kg/m3 there is an increase in draught of 10 cm. Find the Idensity of the sea water. picture of the "answer" is attachedarrow_forwardProblem A2 long steel tube has a rectangular cross-section with outer dimensions of 20 x 20 mm and a uniform wall thickness of 2. The tube is twisted along its length with torque, T. The tube material is 1045 CD steel with shear yield strength of S,, =315 MPa. Assume shear modulus, G = 79.3GPa. (a) Estimate the maximum torque that can be applied without yielding (b) Estimate the torque required to produce 5 degrees total angle of twist over the length of the tube. (c) What is the maximum torque that can be applied without yielding, if a solid rectangular shaft with dimensions of 20 x 20 is used? You may use the exact solution.arrow_forwardA simply supported beam is loaded as shown. Considering symmetry, the reactions at supports A and B are R₁ = R₂ = wa 2 Using the singularity method, determine the shear force V along the length of the beam as a function of distance x from the support A. A B Ir. 2a За W C R₁₂ x 2. Using the singularity method, determine the bending M along the length of the beam as a function of distance x, from the support A. 3. Using the singularity method, determine the beam slope and deflection along the length of the beam as a function of the distance x, from the support A. Assume the material modulus of elasticity, E and the moment of inertia of the beam cross-section, I are given.arrow_forward
- A steel tube, 2 m long, has a rectangular cross-section with outer dimensions of 20 × 30 mm and a uniform wall thickness of 1 mm. The tube is twisted along its length with torque, T. The tube material is 1018 CD steel with shear yield strength of Ssy =185 MPa. Assume shear modulus, G = 79.3GPa. (a) Estimate the maximum torque that can be applied without yielding.- (b) Estimate the torque required to produce 3 degrees total angle of twist over the length of the tube. (c) What is the maximum torque that can be applied without yielding, if a solid rectangular shaft with dimensions of 20 x 30 mm is used? You may use the exact solution:arrow_forward|The typical cruising altitude of a commercial jet airliner is 10,700 m above sea level where the local atmospheric temperature is 219 K, and the pressure is 0.25 bar. The aircraft utilizes a cold air-standard Brayton cycle as shown with a volume flow rate of 1450 m³/s. The compressor pressure ratio is 50, and the maximum cycle temperature is 1700 K. The compressor and turbine isentropic efficiencies are 90%. Neglect kinetic and potential energy effects in this problem. Assume constant specific heats with k=1.4, Ra=0.287 kJ/kg- K, Cp=1.0045 kJ/kg-K, and cv = 0.7175 kJ/kg-K. a) Draw a T-s diagram for this cycle on the diagram provided. b) Fill in the table below with the missing information. T[K] Heat exchanger Heat exchanger State P [bar] 1 0.25 2s 2 3 4s 4 Turbine c) (5pts) Determine the inlet air density in [kg/m³] (at state 1), and the system mass flowrate in [kg/s]. d) (10pts) Determine the net power developed in [MW]. Be sure to draw each component you are analyzing, define the…arrow_forwardOn the axis provide, draw a corresponding T-s diagram for the Brayton cycle shown given the following information: iv. V. vi. Compressor 1 is reversible, but Compressor 2 and the turbine are irreversible. The pressure drops through the regenerator are combustors are negligible. The pressures at state (1) and state (10) are equal to the atmospheric pressure. T 8 Regenerator fmm mmm Qin Combustor Compressor Compressor Turbine W cycle Intercooler mm Courarrow_forward
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