Consider the slipper-pad bearing of Prob. 1023. (a) Generate a characteristic scale for v, the y-component of velocity. (b) Perform an order-of-magnitude analysis to compare the inertial terms to the...
Analyze the frame in Figure P11.30 by moment distribution. Determine all reactions and draw the shear and moment curves. Sketch the deflected shape. \(E\) is constant and equals 30,000 kips/in. \({...
A heated 6-mm-thick Pyroceram plate ( = 2600 kg/m 3 , c p = 808 J/kg K, k = 3.98 W/m K, and a = 1.89 10 6 m 2 /s) is being cooled in a room with air temperature of 25C and convection heat transfer...
Suppose the pump of Fig. P1419C is situated between two large water tanks with their free surfaces open to the atmosphere. Explain qualitatively what would happen to the pump performance curve if a...
From experimental data it is known that at moderate pressures the volumetric equation of state may be written as PV = RT + B P, where the second virial coefficient B is a function of temperature...
Assume that the flow of air through a given duct is isentropic. At one point in the duct, the pressure and temperature are \(p_{1}=1800 \mathrm{lb} / \mathrm{ft}^{2}\) and \(T_{1}=500^{\circ}...
An iceberg (specific gravity 0.917) floats in the ocean (specific gravity 1.025). What percent of the volume of the iceberg is under water?
An element of a balanced orthotropic carbon/epoxy lamina is under the state of stress shown in Figure 2.20. If the properties of the woven carbon fabric/ epoxy material are \(E_{1}=70 \mathrm{GPa},...
The last section of this chapter describes the sizing of a heat exchanger to cool the neutralized acid stream from 49.9C to 27C using cooling water available at 15C. That calculation assumed an...
Using the data on equipment costs given in this chapter or commercial cost-estimating software, estimate the cost of the following equipment: 1. A shell and tube heat exchanger, heat transfer area 50...
Using Fig. 15.5, without performing additional calculations, sketch the P-x-y diagram at 400 K showing the two-phase region. Make the sketch semi-quantitative to show the values where the phase...
A support cable in a structure must be 5 m long and must withstand a tensile load of 5 kN with a safety factor of 2.0 against tensile failure. Assuming a solid cylindrical cross section for the cable...
Compare the total surface area of a group of N small-diameter spherical particles with that of a single large-diameter spherical particle having the same volume.
Every May 22 I plant one watermelon seed. I water it, I fight slugs, I pray, I watch my beauty grow, and finally the day comes when the melon ripens. I then harvest and feast. Of course, some years...
The kinetics of a particular catalytic reaction A R are studied at temperature T in a basket reactor (batch-solids and mixed flow of gas) in which the gas composition is kept unchanged, despite...
Draw the shear and moment diagrams for the compound beam. It is supported by a smooth plate at A which slides within the groove and so it cannot support a vertical force, although it can support a...
Draw the shear and moment diagrams for the beam. The 20-kip load must be replaced by equivalent loadings at point C on the axis of the beam. A 15 kip 11 ft 20 kip 4 ft 4 ft 4 ft B
In the mid-nineteenth century the entomologist Henri Fabre noted that French ants (garden variety) busily bustled about their business on hot days but were rather sluggish on cool days. Checking his...
The data in Table P5.28 have been obtained on the decomposition of gaseous reactant A in a constant volume batch reactor at 100C. The stoichiometry of the reaction is 2A R + S. What size plug flow...
The aqueous decomposition of A is studied in an experimental mixed flow reactor. The results in Table P5.25 are obtained in steady-state runs. To obtain 75% conversion of reactant in a feed, C A0 =...
A steel cantilever beam, possessing a mass of \(0.04 \mathrm{~kg}\) at the free end, is used as a frequency meter. \({ }^{7}\) The beam has a length of \(0.3 \mathrm{~m}\), width of \(6...
A divergent-convergent nozzle has the proportions shown in Table 6.1. Air (= 1.40, M= 29.0) enters the nozzle from a reservoir in which the pressure is 20 atm abs and the temperature is 550 K. Plot...
A petroleum oil having the properties given in Table 15.3 is to be heated in a horizontal multipass heater with steam at 60 lb /in. 2 gauge. The tubes are to be steel, 3 / 4 -in. OD by BWG 16, and...
A vertical tubular condenser is to be used to condense 2,100 kg/h of ethyl alcohol. which enters at atmospheric pressure. Cooling water is to flow through the tubes at an average temperature of 30C....
The spreader beam \(A B\) is used to slowly lift the 3000 -lb pipe that is centrally located on the straps at \(C\) and \(D\). If the beam is a W12 \(\times 45\), determine if it can safely support...
The plate is made of material having a modulus of elasticity \(E=200 \mathrm{GPa}\) and Poisson's ratio \(u=\frac{1}{3}\). Determine the change in width \(a\), height \(b\), and thickness \(t\) when...
An absorption column is fed at the bottom with a gas containing 5 percent benzene and 95 percent air. At the top of the column a nonvolatile absorption oil is introduced, which contains 0.2 percent...
Select the lightest-weight wide-flange overhanging beam from Appendix B that will safely support the loading. Assume the support at \(A\) is a pin and the support at \(B\) is a roller. The allowable...
The 200-kg block \(D\) is dropped from rest at a height \(h=1 \mathrm{~m}\) onto end \(C\) of the A992 steel W200 \(\times 36\) overhang beam. If the spring at \(B\) has a stiffness \(k=200...
A continuous countercurrent dryer is to be designed to dry 800 lb of wet porous solid per hour from 140 percent moisture to 20 percent, both on the dry basis. Air at 120F dry-bulb and 70F wet-bulb...
Design the plumbing drainage for the apartment building in Appendix B. Use acrylonitrile-butadiene-styrene copolymer (ABS) pipe and tubing for this design problem. Appendix B EAT BEDROOM BEDROOM EAT...
Given the Monod equation to represent a microbial fermentation Which of the contacting patterns of Fig. P29.17 could be optimum, and which can never be? By optimum we mean minimizing reactor volume...
Can you do better and produce more cells (if so, find C c ) by proper bypass or recycle of fluid from the reactor for the system of problem 2? Data from problem 2 E. coli lives and grows on mannitol...
The reversible liquid-phase reaction A B is carried out in a 12-dm 3 CSTR with heat exchange. Both the entering temperature, T 0 , and the heat exchange fluid, Ta, are at 330 K. An equal molar...
The United States produces about 2700 megawatts (MW) of electricity from geothermal energy, which is comparable to burning 60 million barrels of oil each year. Worldwide about 7000 MW of geothermal...
Find v 2 in the leaky integrator of Fig. 5-24 with R 1 = R f = 1 k, C = 1 F, and Data from figure 5-24 V: = [1V t> 0 o t <0
The network of Problem 4.18 has been redrawn in Fig. 4-35 for solution by the node voltage method. Obtain node voltages V 1 and V 2 and verify the currents obtained in Problem 4.18. Data from problem...
A very proprietary industrial waste reaction, which well code as A B + S, is to be carried out in a 10-dm 3 CSTR followed by a 10-dm 3 PFR. The reaction is elementary, but A, which enters at a...
Determine the horizontal and vertical deflection of the hinge at point C C of the arch in Figure P8.16 for a single concentrated load of 60 kips applied at joint B B in the vertical direction. 39...
A two-story building frame is modeled as shown in Fig. 5.32. The girders are assumed to be rigid, and the columns have flexural rigidities \(E I_{1}\) and \(E I_{2}\), with negligible masses. The...
What is the formal concentration (expressed as mol/L = M) of NaCl when 32.0 g are dissolved in water and diluted to 0.500 L?
What is the purpose of the trap in Figure 2-17 and the watchglass in Figure 2-20? Figure 2-17 Figure 2-20 Gooch filter crucible To air -Rubber adaptor -Glass funnel To house vacuum Porous glass Gooch...
A 25.00-mL sample containing Fe3 [1] and Cu 2+ required 16.06 mL of 0.050 83 M EDTA for complete titration. A 50.00-mL sample of the unknown was treated with NH4F to protect the Fe 3+ . Then Cu 2+...
When 22.63 mL of aqueous NaOH were added to 1.214 g of cyclohexylaminoethanesulfonic acid (FM 207.29, structure in Table 8-2) dissolved in 41.37 mL of water, the pH was 9.24. Calculate the molarity...
Convert the following potentials. The Ag | AgCl and calomel reference electrodes are saturated with KCl. (a) 0.523 V versus S.H.E. = ? versus Ag | AgCl (b) -0.111 V versus Ag | AgCl = ? versus S.H.E....
If a sample for spectrophotometric analysis is placed in a 10-cm cell, the absorbance will be 10 times greater than the absorbance in a 1-cm cell. Will the absorbance of the reagent-blank solution...
For each of the following systems, give two examples of how a mechanical engineer would be involved in its design. (a) Passenger automobile engine (b) Escalator (c) Computer hard disk drive (d)...
The wind power output per unit area swept by the rotor is 2.4 kW/m 2 . Convert this quantity to the dimensions of hp/ft 2 .
When a 120-lb woman stands on a snow-covered trail, she sinks slightly into the snow because the compressive stress between her ski boots and the snow is larger than the snow can support without...
An engineer determines that a 40-cm-long rod of 1020 grade steel will be subjected to a tension of 20 kN. The following two design requirements must be met: The stress must remain below 145 MPa, and...
Convert the viscosity of mercury (1.5 x 10 -3 kg/(m s)) to the dimensions of slug/(ft s) and centipoise.
The fuel tank on a sport-utility wagon holds 14 gal of gasoline. How much heavier is the automobile when the tank is full compared to when it is empty?
(a) By using either the vector algebra or polygon methods for finding a resultant, determine the magnitude of F that will cause the net effect of the three forces to act vertically. (b) For that...
Water flows through a 5-cm-diameter pipe at the average velocity of 1.25 m/s. (a) In the dimensions of L/s, what is the volumetric flow rate? (b) If the diameter of the pipe is reduced by 20% at a...
The steel bolt and anchor assembly is used to reinforce the roof of a passageway in an underground coal mine (Figure P5.13). In installation, the bolt is tensioned to 5000 lb. Calculate the stress,...
In a pipeline that connects a production oilfield to a tanker terminal, oil having density 1.85 slug/ft 3 and viscosity 6 x 10 3 slug/(ft s) flows through a 48-in.-diameter pipeline at 6 mph. What...
The tie-down mount in Figure P5.23 is bolted to the deck of a cargo truck and restrains the steel cable under 1.2 kN of tension. Determine the shear stress in the 6-mm-diameter bolt. Neglect the...
A 3/8 -in.-diameter bolt connects the marine propeller to a boats 1 1/4 -in. driveshaft (Figure P5.30). To protect the engine and transmission if the propeller accidentally strikes an underwater...
(a) A luxury sports car has a frontal area of 22.4 ft 2 and a 0.29 coefficient of drag at 60 mph. What is the drag force on the vehicle at this speed? (b) A sport-utility vehicle has C D = 0.45 at 60...
A certain parachute has a drag coefficient of C D = 1.5. If the parachute and skydiver together weigh 225 lb, what should the frontal area of the parachute be so that the skydivers terminal velocity...
A thin-walled sampling tube must be fabricated to obtain good-quality undisturbed clay samples of 75 mm diameter. What is the maximum possible wall thickness?
If a mass-spring system has Coulomb friction on the surface rather than viscous friction, its equation of motion is where is the coefficient of friction. Develop a Simulink model for the case where...
Force F acts on the frame such that its component acting along member AB is 650 lb, directed from B towards A. Determine the required angle (0 45) and the component acting along member BC. Set F =...
Refer to Figure P3.3. Use Eqs. (3.10) and (3.11) to determine the variation of OCR and preconsolidation pressure 'c. Figure P3.3 Eqs. (3.10) Eqs. (3.11) Dry sand y = 16.5 kN/m3 1.5 m Groundwater...
A 1.5 m 2.0 m rectangular foundation is placed at 1.0 m depth in sand where ' = 40 and = 18.5 kN/m 3 . Bedrock is present at 1.0 m below the foundation. Using Eq. (7.3), determine the ultimate...
A 2.0 m wide continuous foundation is placed at 1.5 m depth in a saturated clay where c u = 40 kN/m 2 and = 18.5 kN/m 3 . At 2.0 m below the ground level, this clay layer is underlain by a stiffer...
Replace the loading system acting on the post by an equivalent resultant force and couple moment at point B. 650 N 500 N 30 300 N 1500 N - m 60 A -3 m -5 m- m
A 2 m wide continuous foundation is placed at 1 m depth within a 1.5 m thick sand layer that is underlain by a weaker clay layer. The soil properties are as follows: Upper sand layer: unit weight =...
A 2.0 m 4.0 m flexible loaded area shown in Figure P9.6 applies a uniform pressure of 150 kN/m 2 to the underlying silty sand. Estimate the elastic settlement below the center of the foundation....
A 400 mm 400 mm square precast concrete pile of 15 m length is driven into a sand where = 18.0 kN/m 3 and ' = 33. Assuming ' = 0.7' and K = 1.4 K o , determine the load-carrying capacity of the...
A concrete pile 15.24 m long having a cross section of 406 mm 406 mm is fully embedded in a saturated clay layer for which g sat = 19.02 kN/m 3 , = 0, and c u = 76.7 kN/m 2 . Determine the...
Figure P12.36 shows a 3 5 pile group consisting of 15 concrete piles of 400 mm diameter and 12 m in length. What would be the maximum load that can be allowed on the mat with a factor of safety of...
A 1 m diameter straight drilled shaft is shown in Figure P13.7. Determine the load-carrying capacity of the drilled shaft with FS = 3. Take '/' as 0.8 for the sand. Figure P13.7. Sand y = 18 kN/m3 o'...
Refer to Figure P13.9. Assume the botton 8 m to be hard rock and the following values. Spacing of discontinuity in rock = 500 mm Thickness of individual discontinuity in rock = 3 mm Estimate the...
Figure P17.1 shows a gravity retaining wall retaining a granular (c' = 0) backfill. The same soil is present at the bottom of the wall and on the left. The unit weight and the friction angle of the...
Determine the factor of safety of the retaining wall shown in Figure P17.3 with respect to overturning, sliding, and bearing capacity failure. Given: unit weight of concrete = 24.0 kN/m 3 , ' = 2/3',...
Determine the area and the centroid x of the parabolic area. h
Determine the moment of inertia for the shaded area about the y axis. y -y? = 1 - x 1m 1 m -1m -
Determine the moment of inertia I x of the shaded area about the x axis. y -100 mm-100 mm- - 150 mm - 150 mm 75 mm 150 mm
An industrial engineer is investigating the effect of four assembly methods (A, B, C, D) on the assembly time for a color television component. Four operators are selected for the study. Furthermore,...
Which geometric characteristics never reference datums? Why?
What is the difference between pound-mass and pound-force?
Reconsider Prob. 323E. Using appropriate software, determine the missing properties of water. Repeat the solution for refrigerant-134a, refrigerant-22, and ammonia.
A spin coater is used to apply photoresist to a bare silicon wafer. This operation usually occurs early in the semiconductor manufacturing process, and the average coating thickness and the...
Repeat Prob. 51 with the following principal stresses obtained from Eq. (313) : (a) A = 100 MPa, B = 100 MPa (b) A = 100 MPa, B = -100 MPa (c) A = 100 MPa, B = 50 MPa (d) A = 100 MPa, B = -50...
A rigid, adiabatic container is filled through a single opening from a source of working fluid whose properties remain fixed. How does the final specific entropy of the single-phase contents of this...
A ductile material has the properties S yt = 60 kpsi and S yc = 75 kpsi. Using the ductile Coulomb-Mohr theory, determine the factor of safety for the states of plane stress given in Prob. 53 . For a...
Repeat Prob. 512 by first plotting the failure loci in the A , B plane to scale; then for each stress state, plot the load line and by graphical measurement estimate the factor of safety A ductile...
The maximum safe air pressure of a tire is typically written on the tire itself. The label on a tire indicates that the maximum pressure is 35 psi (gage). Express this maximum pressure in kPa. FIGURE...
Reconsider Prob. 2103. Using appropriate software, investigate the effect of the convection heat transfer coefficient on the surface temperature of the plate. Let the heat transfer coefficient vary...
A Segway Personal Transporter (PT) is a two-wheeled vehicle in which the human operator stands vertically on a platform. As the driver leans left, right, forward, or backward, a set of sensitive...
Repeat Problem 19 using nodal equations. Data From Problem 19: Find the transfer function, G(s) = V o (s)/V i (s), for each network shown in Figure P2.5. Solve the problem using mesh analysis. +...
Experience has shown that a manufacturer of rewritable CDs produces, on the average, only 1 defective CD in 100. Suppose that of the next 4 CDs manufactured, at least 1 is defective. What would you...
Given the following system represented in state space, solve for Y(s) using the Laplace transform method for solution of the state equation: -2 -4 1 x+ |0 0 e- 0 -6 y = [0 0 1]x; x(0) =
Given the following state-space representation of a system, find Y(s): 1 x + sin 3t -3 3. y = [1 2]x; x(0) = %3D
Two uniform spheres are positioned as shown. Determine the gravitational force which the titanium sphere exerts on the copper sphere. The value of R is 40 mm. y opper 2R 6R 35 R Titanium Problem 1/6
Figure P4.16 shows the step response of an electric vehicles mechanical brakes when the input is the drive torque (N-m) and the output is the hydraulic brake pressure (bar) (Ringdorfer, 2011). a....
A train which is traveling at 80 mi/hr applies its brakes as it reaches point A and slows down with a constant deceleration. Its decreased velocity is observed to be 60 mi/hr as it passes a point 1/2...
The 300-Mg jet airliner has three engines, each of which produces a nearly constant thrust of 240 kN during the takeoff roll. Determine the length s of runway required if the takeoff speed is 220 km...
The drive system of the 350-ton tugboat causes an external thrust P = 7000 lb to be applied as indicated in the figure. If the tugboat pushes an 800-ton coal barge starting from rest, what is the...