Engineering - Introduction Mechanical Engineering,

Compound lever shears cut through a piece of wire at A (Figure P5.32). (a) By using the free body diagram of handle CD, determine the magnitude of the force at rivet D. (b) Referring to the magnifi...

(a) A 1.5-mm-diameter steel sphere (7830 kg/m 3 ) is dropped into a tank of SAE 30 oil. What is its terminal velocity? (b) If the sphere is instead dropped into a different oil of the same density...

A fenced enclosure consists of a rectangle of length L and width 2R, and a semicircle of radius R, as shown in Figure P20. The enclosure is to be built to have an area A of 1600 ft 2 . The cost of...

A fence around a field is shaped as shown in Figure P12. It consists of a rectangle of length L and width W, and a right triangle that is symmetrical about the central horizontal axis of the...

A granular soil with G s = 2.65, e max = 0.870, and e min = 0.515 is compacted to a moist unit weight of 17.36 kN/m 3 at moisture content of 10.5%. What is the relative density of this compacted sand?

The equation of motion for a pendulum whose base is accelerating horizontally with an acceleration a(t) is Suppose that g = 9.81 m/s 2 , L " 1 m, and (0) = 0. Plot ,(t) for 0 t 10 s for the...

Force F acts on the frame such that its component acting along member AB is 650 lb, directed from B towards A, and the component acting along member BC is 500 lb, directed from B towards C. Determine...

If FB = 3kN and = 45, determine the magnitude of the resultant force of the two tugboats and its direction measured clockwise from the positive x axis. F= 2 kN 30 FB B.

Determine the x and y components of each force acting on the gusset plate of a bridge truss. Show that the resultant force is zero. F = 6 kN F = 8 kN 888 F = 4 kN F, = 6 kN 888 888

Determine the magnitude of the resultant force and its direction measured counterclockwise from the positive x axis. F2 = 26 kN 1213 5 30 F, = 30 kN

Following is the variation of the field standard penetration number (N 60 ) in a sand deposit: Depth (m) .............. N 60 1.5 ............................. 6 3 ................................ 8...

Refer to Problem 3.5. Using Eq. (3.22), determine the average relative density of the sand. Problem 3.5 Following is the variation of the field standard penetration number (N 60 ) in a sand deposit:...

The tower crane is used to hoist the 2-Mg load upward at constant velocity. The 1.5-Mg jib BD, 0.5-Mg jib BC, and 6-Mg counterweight C have centers of mass at G1 , G2 , and G3 , respectively....

If the 1500-lb boom AB, the 200-lb cage BCD, and the 175-lb man have centers of gravity located at points G 1 , G 2 and G 3 , respectively, determine the resultant moment produced by each weight...

If the resultant couple of the three couples acting on the triangular block is to be zero, determine the magnitude of forces F and P. -F F 150 N B 300 mm 500 mm 600 mm 150 N -P -400 mm

Determine the magnitude of F so that the resultant couple moment is 12 kNm, counterclockwise. Where on the beam does the resultant couple moment act? -F F 30 30 8 kN 0.3 m 1.2 m 0.4 m- 8 kN

Two couples act on the beam as shown.If F = 150 lb, determine the resultant couple moment. 200 Ib 1.5 ft 200 lb F 4 ft

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

If the soil exerts a trapezoidal distribution of load on the bottom of the footing, determine the intensities w 1 and w2 of this distribution needed to support the column loadings. 80 kN 60 kN 50 kN...

Replace the loading by a single resultant force, and specify its location on the beam measured from point A. 400 N/m B 3 m 3 m

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...

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-

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...

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 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...

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....

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....

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....

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...

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...

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...

Determine the moment of inertia about the x axis. y = a

Locate the centroid x of the circular sector. y C

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

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 moment of inertia for the shaded area about the y axis. y h h

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...

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

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 ...

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...

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...

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...

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...

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.

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

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...

An AISI 4142 steel Q&T at 800F exhibits S yt = 235 kpsi, S yc = 285 kpsi, and f = 0.07. For the given state of plane stress, (a) Determine the factor of safety, (b) Plot the failure locus and the...

Determine the total heat transfer for the reversible process 1-3 shown in Fig. P758. 3 360 55 1 2 S, kJ/K T, C

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 AISI 4142 steel Q&T at 800F exhibits S yt = 235 kpsi, S yc = 285 kpsi, and f = 0.07. For the given state of plane stress, (a) Determine the factor of safety, (b) Plot the failure locus and the...

Repeat Prob. 519 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) x =...

For an ASTM 30 cast iron, (a) Find the factors of safety using the BCM and MM theories, (b) Plot the failure diagrams in the A , B plane to scale and locate the coordinates of the stress state, (c)...

Can any ideal gas power cycle have a thermal efficiency greater than 55 percent when using thermal energy reservoirs at 627C and 17C?

For an ASTM 30 cast iron, (a) Find the factors of safety using the BCM and MM theories, (b) Plot the failure diagrams in the A , B plane to scale and locate the coordinates of the stress state, (c)...

A cast aluminum 195-T6 exhibits S ut = 36 kpsi, S uc 5 35 kpsi, and f = 0.045. For the given state of plane stress, (a) Using the Coulomb-Mohr theory, determine the factor of safety, (b) Plot the...

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?

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 cast aluminum 195-T6 exhibits S ut = 36 kpsi, S uc 5 35 kpsi, and f = 0.045. For the given state of plane stress, (a) Using the Coulomb-Mohr theory, determine the factor of safety, (b) Plot the...

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