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Determine the resultant couple moment of the two couples that act on the assembly. Specify its magnitude and coordinate direction angles. 60 Ib 2 in. -2 in. 80 lb 30 4 in. 80 lb 3 in.. 60 lb A 1.5 m wide square footing is placed at 1 m depth within the ground where c' = 10 kN/m 2 , ' = 258, and = 18 kN/m 3 . Determine the ultimate bearing capacity of the footing using Terzaghis bearing... Replace the force system acting on the post by a resultant force and couple moment at point O. 300 lb 30 150 lb 2 ft 2 ft 200 lb 2 ft in Replace the force system acting on the frame by an equivalent resultant force and couple moment acting at point A. A 300 N 0.5 m 30/ 1 m 500 N 0.5 m 0.3 m - - 400 N A continuous foundation on a deposit of sand layer is shown in Figure P9.10 along with the variation of the cone penetration resistance q c . Assuming = 18 kN/m 3 and creep is at the end of ten... Replace the loading by an equivalent resultant force and couple moment acting at point O. 50 Ib/ft -9 ft 9 ft 50 Ib/ft Replace the loading by an equivalent resultant force and specify its location on the beam, measured from point A. 5 kN/m 2 kN/m 4 m- 2 m Solve Problem 9.10 using Eqs. (9.39), (9.40), and (9.41). Problem 9.10 A continuous foundation on a deposit of sand layer is shown in Figure P9.10 along with the variation of the cone penetration... Determine the maximum load that can be allowed on a 450 mm diameter driven pile shown in Figure P12.6, allowing a factor of safety of 3. Use K = 1.5 K o and ' = 0.65' in computing the shaft load. Use... Replace this loading by an equivalent resultant force and specify its location, measured from point O. 6 kN/m 4 kN/m 2 m 15 m. Replace the distributed loading by an equivalent resultant force and couple moment acting at point A. 6 kN/m 6 kN/m 3 kN/m B -3 m 3 m Determine the maximum load that can be allowed on the 450 mm diameter pile shown in Figure P12.9, with a factor of safety of 3. Use the a method and Table 12.11 for determining the skin friction and... Replace the loading by an equivalent resultant force and couple moment acting at point A. 400 N/m B 3 m 3 m Determine the length b of the triangular load and its position a on the beam such that the equivalent resultant force is zero and the resultant couple moment is 8 kNm clockwise. 6 kN/m 2 kN/m 4 m Determine the magnitude of the equivalent resultant force and its location, measured from point O. w = (4 + 2V) Ib/ft | 8.90 lb/ft 4 lb/ft -6 ft- Replace the loading by an equivalent resultant force and couple moment acting at point O. w = wo cos (x) Determine the components of the support reactions at the fixed support A on the cantilevered beam. 6 kN 30 130 1.5 m tiso 4 kN -1.5 m- 1.5 m- A concrete pile 406 mm 406 mm in cross section is shown in Figure P12.13. Calculate the ultimate skin friction resistance by using the a. method [use Eq. (12.61) and Table 12.11] b. method c. ... Solve Problem 12.23 using the method of Broms. Assume that the pile is flexible and free-headed. Let the soil unit weight, = 16 kN/m 3 ; the soil friction angle, ' = 30; and the yield stress of the... Determine the force in members BC, HC, and HG. State if these members are in tension or compression. 12 kN 6 kN 9 kN G 4 kN 6 kN 2 m 1 m 1 m A E B D 1.5 m 1.5 m 1.5 m 1.5 m Determine the force that the jaws J of the metal cutters exert on the smooth cable C if 100-N forces are applied to the handles. The jaws are pinned at E and A, and D and B. There is also a pin at F.... If y B = 1.5 ft, determine the largest weight of the crate and its placement x so that neither cable segment AB, BC, or CD is subjected to a tension that exceeds 200 lb. -2 ft -3 ft 3 ft YR 3 ft B The automobile has a mass of 2 Mg and center of mass at G. Determine the towing force F required to move the car if the back brakes are locked, and the front wheels are free to roll. Take s = 0.3.... In Problem 18.1, determine the maximum moment and its location. Assuming an allowable stress of 170 MN/m 2 , select a sheet-pile section from Table 18.1. Table 18.1. Section H L. Section modulus... Determine the maximum horizontal force P that can be applied to the 30-lb hoop without causing it to rotate. The coefficient of static friction between the hoop and the surfaces A and B is s = 0.2.... If the coefficient of static friction between all the surfaces of contact is s , determine the force P that must be applied to the wedge in order to lift the block having a weight W. B The vehicle has a weight of 2600 lb and center of gravity at G. Determine the horizontal force P that must be applied to overcome the rolling resistance of the wheels. The coefficient of rolling... The bulk head AD is subjected to both water and soilbackfill pressures. Assuming AD is pinned to the ground at A, determine the horizontal and vertical reactions there and also the required tension... The uniform crate has a mass of 150 kg. If the coefficient of static friction between the crate and the floor is s = 0.2, determine the smallest mass of the man so he can move the crate. The... It is the last semester of your senior year and you are anxious to get an exciting electrical engineering position in a major company. You accept a position from Company A early in the recruiting... You are testing motorcycle helmets manufactured by a variety of your competitors. Your company has developed an inexpensive helmet with a liner that will withstand multiple impacts, but is less... Locate the centroid y of the shaded area. Solve the problem by evaluating the integrals using Simpsons rule. y = 0.5e? I m The tank is used to store a liquid having a density of 80 lb/ft 3 . If it is filled to the top, determine the magnitude of force the liquid exerts on each of its two sides ABDC and BDFE. D 4 ft B 6... Paul Ledbetter is employed at Bluestone Ltd. as a manufacturing engineer. He regularly meets with vendors who offer to supply Bluestone with needed services and parts. Paul discovers that one of the... Derek Evans used to work for a small computer firm that specializes in developing software for management tasks. Derek was a primary contributor in designing an innovative software system for... Determine the moment of inertia about the x axis. y = a A company purchased an expensive computer program for your summer job with them. The license agreement states that you can make a backup copy, but you can use the program on only one computer at a... Name a product or group of products that does not fit the generalization you made in exercise 22 and add and label the point on the graph in exercise 21. To get a better perspective use a log scale... Locate the centroid x of the circular sector. y C An electric cart can accelerate from 0 to 60. mph in 15. sec. The Olympic champion sprinter Usain Bolt can run 100.0 m in 9.69 s. Who would win a 100.0 m race between this cart and the world champion... Determine the location y of the centroid C of the beam having the cross-sectional area shown. 150 mm 15 mm IT B C 150 mm -15 mm 15 mm 100 mm Determine the moment of inertia for the shaded area about the y axis. y h h Determine the moment of inertia about the y axis. y 150 mm --150 mm- 20 mim 200 mm C 20 mm 200 mm 20 mim Locate the centroid y of the cross section and determine the moment of inertia of the section about the x' axis. 0.4 m y 0.05 m 0.3 m- 0.2 m 0.2 m 0.2 m'0.2 m Two machines are used for filling plastic bottles with a net volume of 16.0 ounces. The filling processes can be assumed to be normal, with standard deviations of 1 = 0.015 and 2 = 0.018. The... Consider a p p Latin square with rows ( i ), columns ( k ), and treatments ( j ) fixed. Obtain least squares estimates of the model parameters i k , and j . Select an organization listed in Sec. 16, go to the Internet, and list what information is available on the organization. Estimate how many times more expensive it is to grind a steel part to a tolerance of 0.0005 in versus turning it to a tolerance of 0.003 in. A steel member has a Brinell of H B = 275. Estimate the ultimate strength of the steel in MPa. Some commonly used plain carbon steels are AISI 1010, 1018, and 1040. Research these steels and provide a comparative summary of their characteristics, focusing on aspects that make each one unique... Search the website noted in Sec. 220 (http://composite.about.com/cs/software/) and report your findings. Your instructor may wish to elaborate on the level of this report. The website contains a... Two popular pain medications are being compared on the basis of the speed of absorption by the body. Specifically, tablet 1 is claimed to be absorbed twice as fast as tablet 2. Assume that 2 1 and ... Repeat Prob. 51 for a bar of AISI 1030 hot-rolled steel and: (a) x = 25 kpsi, y = 15 kpsi (b) x = 15 kpsi, y = -15 kpsi (c) x = 20 kpsi, y = 10 kpsi (d) x = -12 kpsi , y = 15 kpsi , xy = -9... An article in Environment International (Vol. 18, No. 4, 1992) describes an experiment in which the amount of radon released in showers was investigated. Radon-enriched water was used in the... Four catalysts that may affect the concentration of one component in a three-component liquid mixture are being investigated. The following concentrations are obtained: (a) Do the four catalysts have... A 1020 CD steel shaft is to transmit 20 hp while rotating at 1750 rpm. Determine the minimum diameter for the shaft to provide a minimum factor of safety of 3 based on the maximum-shear-stress theory. For the case study problem, design the input shaft, including complete specification of the gear, bearings, key, retaining rings, and shaft. For the case study problem, design the output shaft, including complete specification of the gear, bearings, key, retaining rings, and shaft. A chemist wishes to test the effect of four chemical agents on the strength of a particular type of cloth. Because there might be variability from one bolt to another, the chemist decides to use a... The effect of five different ingredients (A, B, C, D, E) on the reaction time of a chemical process is being studied. Each batch of new material is only large enough to permit five runs to be made.... For Fig. A155, let D = 3 in, d = 2 in, r = 0.25 in, and estimate Kt. Use 1/2 symmetry and 1/8-in-thick 2-D elements. 3.0 Dld = 1.50 2.6 F F 1.10 2.2 K, 1.05 1.8 1.02 1.4 1.0 0.05 0.10 0.15 0.20 0.25... The hydraulic lift in a car repair shop has an output diameter of 30 cm and is to lift cars up to 2500 kg. Determine the fluid gage pressure that must be maintained in the reservoir. Consider a 2100-kg car cruising at constant speed of 70 km/h. Now the car starts to pass another car by accelerating to 110 km/h in 5 s. Determine the additional power needed to achieve this... The quality control department of a fabric finishing plant is studying the effect of several factors on the dyeing of cottonsynthetic cloth used to manufacture men's shirts. Three operators, three... A router is used to cut locating notches on a printed circuit board. The vibration level at the surface of the board as it is cut is considered to be a major source of dimensional variation in the... Calculate the total work, in kJ, for process 13 shown in Fig. P44 when the system consists of 2 kg of nitrogen. 500 400 100 0.5 1 U, m/kg P, kPa Neon is compressed from 100 kPa and 20C to 500 kPa in an isothermal compressor. Determine the change in the specific volume and specific enthalpy of neon caused by this compression. Consider the single replicate of the 2 4 design in Example 6-2. Suppose that we ran five points at the center (0, 0, 0, 0) and observed the following responses: 73, 75, 71, 69, and 76. Test for... Calculate approximate 95 percent confidence limits for the factor effects in Problem 6-10. Do the results of this analysis agree with the analysis of variance performed in Problem 6-10? Problem 6-10... An article in the AT&T Technical Journal (March/April 1986, Vol. 65, pp. 39-50) describes the application of two-level factorial designs to integrated circuit manufacturing. A basic processing step... An open feedwater heater heats the feedwater by mixing it with hot steam. Consider an electric power plant with an open feedwater heater that mixes 0.1 lbm/s of steam at 10 psia and 200F with 2.0... Water at 80F and 20 psia is heated in a chamber by mixing it with saturated water vapor at 20 psia. If both streams enter the mixing chamber at the same mass flow rate, determine the temperature and... A pistoncylinder device containing carbon-dioxide gas undergoes an isobaric process from 15 psia and 80F to 200F. Determine the work and the heat transfer associated with this process, in Btu/lbm. Water is boiling at 1 atm pressure in a stainless steel pan on an electric range. It is observed that 1.25 kg of liquid water evaporates in 30 min. The rate of heat transfer to the water is (a) 1.57... Suppose you have made the eight runs in the 2 5-2 design in Problem 8-4. What additional runs would be required to identify the factor effects that are of interest? What are the alias relationships... A 16-run experiment was performed in a semiconductor manufacturing plant to study the effects of six factors on the curvature or camber of the substrate devices produced. The six variables and their... One kilogram of water fills a 150-L rigid container at an initial pressure of 2 MPa. The container is then cooled to 40C. Determine the initial temperature and the final pressure of the water. H,0 1... A completely reversible air conditioner provides 36,000 Btu/h of cooling for a space maintained at 70F while rejecting heat to the environmental air at 110F. Calculate the rate at which the entropies... In an article in Quality Engineering ("An Application of Fractional Factorial Experimental Designs," 1988, Vol. 1, pp. 19-23) M. B. Kilgo describes an experiment to determine the effect of CO 2... Heat treating is often used to carbonize metal parts, such as gears. The thickness of the carbonized layer is a critical output variable from this process, and it is usually measured by performing a... An aluminum pan has a flat bottom whose diameter is 30 cm. Heat is transferred steadily to boiling water in the pan through its bottom at a rate of 1100 W. If the temperatures of the inner and outer... An article by W. D. Baten in the 1956 volume of Industrial Quality Control described an experiment to study the effect of three factors on the lengths of steel bars. Each bar was subjected to one of... Can any ideal gas power cycle have a thermal efficiency greater than 55 percent when using thermal energy reservoirs at 627C and 17C? A 16-run fractional factorial experiment in nine factors was conducted by Chrysler Motors Engineering and described in the article "Sheet Molded Compound Process Improvement," by P. I. Hsieh and D.... The hexagon design that follows is used in an experiment that has the objective of fitting a second-order model: (a) Fit the second-order model. (b) Perform the canonical analysis. What type of... A simple ideal Rankine cycle with water as the working fluid operates between the pressure limits of 4 MPa in the boiler and 20 kPa in the condenser and a turbine inlet temperature of 700C. The... Consider a function f(x) and its derivative df/dx. Can this derivative be determined by evaluating dx/df and taking its inverse? Go to the Internet and connect to the NSPE website (www.nspe.org/ethics). Go to Ethics Resources and review one or more of the topics given. A sample of some of the topics may be: (a) Education... Atmospheric air at 1 atm, 30C, and 80 percent relative humidity is cooled to 20C while the mixture pressure remains constant. Calculate the amount of water, in kg/kg dry air, removed from the air and... A steam power plant operates on the simple ideal Rankine cycle between the pressure limits of 10 kPa and 5 MPa, with a turbine inlet temperature of 600C. The rate of heat transfer in the boiler is... Repeat Prob. 218 for the commonly used alloy steels, AISI 4130 and 4340. Prob. 218 Some commonly used plain carbon steels are AISI 1010, 1018, and 1040. Research these steels and provide a... The table lists the maximum and minimum hole and shaft dimensions for a variety of standard press and shrink fits. The materials are both hot-rolled steel. Find the maximum and minimum values of the... Air enters a convergingdiverging nozzle with low velocity at 2.4 MPa and 120C. If the exit area of the nozzle is 3.5 times the throat area, what must the back pressure be to produce a normal shock at... Repeat Prob. 51 for a bar of AISI 1015 cold-drawn steel with the following principal stresses obtained from Eq. (313 ): (a) A = 30 kpsi , B = 30 kpsi (b) A = 30 kpsi , B = -30 kpsi (c) A = 30... An AISI 1018 steel has a yield strength, S y = 295 MPa. Using the distortion-energy theory for the given state of plane stress, (a) Determine the factor of safety, (b) Plot the failure locus, the... An AISI 1018 steel has a yield strength, S y = 295 MPa. Using the distortion-energy theory for the given state of plane stress, (a) Determine the factor of safety, (b) Plot the failure locus, the... Air flows through a convergingdiverging nozzle in which the exit area is 2.896 times the throat area. Upstream of the nozzle entrance, the velocity is negligibly small and the pressure and... Air is flowing in a wind tunnel at 12C and 66 kPa at a velocity of 190 m/s. The Mach number of the flow is (a) 0.56 (b) 0.65 (c) 0.73 (d) 0.87 (e) 1.7 Assuming you have a thermometer and a device to measure the speed of sound in a gas, explain how you can determine the mole fraction of helium in a mixture of helium gas and air. A mixture of 1 mol of H 2 and 1 mol of Ar is heated at a constant pressure of 1 atm until 10 percent of H 2 dissociates into monatomic hydrogen (H). Determine the final temperature of the mixture.
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