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Mechanical Engineering

Tire Explosion Prediction Math Model

You witnessed the failure of a nylon rim which exploded injuring the person filling the tire with air. Develop a documented mathematical model that predicts the time required to reach a specific pressure. Your results are to be tabulated and plotted. Specifically predict the time to change from 100 kPa to 800 kPa. Assume the pro

Matlab Functions: Two Row Vectors as Inputs

Write a Matlab function that will accept two row vectors (A and B) as inputs. The function computes the row vector C that is the term-by- term product of A and B (that is, C1= A1*B1, C2=A2*B2, and so on), and that then computes the values of the function sin(x) for each value of C and stores these values in the row vector D. The

Determine the Radius of Curvature

For the composite bar indicated (see attachment), determine the radius of curvature caused by the couple of moment 70 Nm. a) 9.16 mm b) 12.73 mm c) 11.87 mm d) 10.41 mm

Determine Stress on a Given Beam

For the beam in the attachment, determine the stress at point D located 32mm below point A. a) 18.6 MPa b) -15.8 MPa c) 19.2 MPa d) 18.1 MPa

Spherical Hankel Functions

Please see attached file. Show that spherical Hankel functions of the first and second kind represent, respectively, radial traveling waves in the -r and +r directions. Assume time variations of and large argument asymptotic expansions for the spherical Hankel functions.

Maximum Normal Stress Due to Bending

For the beam illustrated (see attachment), determine the dimension b for which the maximum normal stress due to bending is 40 MPa. a) 7.45 mm b) 8.95 mm c) 8.33 mm d) 9.36 mm

Largest Allowable Square Cross Section

Determine the largest allowable square cross section of a steel shaft of length 6 m if the maximum shearing stress is not to exceed 135 MPa when the shaft is twisted through one complete revolution. Use G = 77.2 GPa.

Determine the maximum allowable stress

Knowing that, for the plate shown (see attachment), the allowable stress is 24 ksi, determine the maximum allowable value of P when r = 3/4 in. a) 35.42 kips b) 12.89 kips c) 43.27 kips d) 25.71 kips

tensile force and corresponding normal stress of a wire

A 28-ft length of 0.25-in.-diameter steel wire is to be used in a hanger. It is noted that the wire stretches 0.55 in. when a tensile force P is applied Knowing that E = 29 X 10 (to the 6th power) psi, determine (a) the magnitude of the force P, (b) the corresponding normal stress in the wire. a) 1.19 kips; 51.68 ksi b) 2.

Kinetics of Particles and Newton's Second Law

Determine the maximum theoretical speed that may be achieved over a distance of 50 m by a car starting from rest, knowing that the coefficient of static friction is 0.80 between the tires and the pavement. Assume four-wheel drive. In answering this problem, how can you use the coefficient of friction without mass?

Simple Vapor Power Plant

Steam enters the turbine of a simple vapor power plant with a pressure of 160 bar and a temp of 560 C and expands adiabatically to 0.08 bar. The isentropic turbine efficiency is 85%. Saturated liquid exits the condenser at 0.08 bar and the isentropic pump efficiency is 85%. Determine a) enthalpy of steam leaving the turbine

Mechanical Vibration and Springs

The machine shown in the figure is rigidly anchored on a rigid concrete block and the mass of both is 3000 kg. The block has height h = 1 m and square horizontal section with a = 1.2 m and is supported at the corners by 12 springs of stiffness k = 2000 N/m. i) Derive the equations of motion of the system using both Newton's

Mechanical Vibration

The machine shown in the figure is rigidly anchored on a rigid concrete block and the mass of both is 3000 kg. The block has height h = 1 m and square horizontal section with a = 1.2 m and is supported at the corners by 12 springs of stiffness k = 2000 N/m. Solve only the second part: (see attachment for diagram) ii) Find t

Range of Velocity for the pitching wedge

A pitching wedge a golfer is using gives the ball an initial angle of 50 degrees, what range of velocities (Vo) will cause the ball to land within 3 ft. of the hole? (the hole is 30 ft. from golfer). Assume that the hole lies on the plane of the ball's trajectory. I need help setting this problem up to start.

Determine Stress

Knowing that the couple shown acts in a vertical plane, determine the stress at (a)point A. (b) point B.

Rate of Heat Generation

A fillet weld is used to join two medium carbon steel plates each having a thickness of 5.0mm. The plates are joined at a 90 degree angle using an inside fillet corner joint. The velocity of the welding head is 6mm/sec. Assume that the cross section of the weld bead approximates a right isosceles triangle with a leg length of 4.

Finding Metal Removal Rate

In an electrochemical machining operation, the frontal working area of the electrode is 2.5in squared. The applied current=1500amps, and the voltage=12volts. The material being cut is pure aluminum, whose specific removal rate is 1.26 x 10^-4 in^3/amp-min. If the electrochemical machining process is 90 percent efficent, det

DB - Find the capacity of a cylindrical tank

1. Find the capacity of a cylindrical tank that is 250 feet in diameter and 30 feet high? 2. In the above problem, what is the capacity if the tank is 75% full, and what is the capacity in gallons? 3. If 50 pounds of chlorine are mix with 100 pounds of water, what is per cent chlorine solution that is made? 4. Find

Calculating Modulus of Rupture

Please help with the following problem. See the attached wood block diagrams. If a break load of 250 lbs. is applied to the first wood specimen, how do I determine the Moment of Inertia and calculate the Modulus of Rupture? The only difference between the specimens per the attached diagram is that a 1/4" x 1/4" key-way is

Future Value of sums of money over eight years

Your rich godfather has offered you a choice of one of the three following alternatives: $10,000 now; $2,000 a year for eight yeaers; or $24,000 at the end of eight years. assuming you could earn 11 percent annually, which alterantive should you coose? If you could earn 12 percent annually, would you still choose the same altera

Saturated vapor at pressure in rigid tank

A 1.8m^3 rigid tank contains steam at 220C. One third of the volume is in the liquid phase and the rest is in the vapor form. Determine: A) The pressure of the steam B) The quality of the saturated mixture C) the density of the mixture

Oblique Pictoral Sketches

Using the front view and side view of an object sketch the pictorials or 3-D pictures of the objects in the attached file.

Freebody Diagrams Problem

Draw a freebody diagram of a bar AB as well as the forces that are acting upon that bar. Use the attached file.

Finding tangent and cosine

Find the expressions (in terms of a and b) for cosine theta and tangent theta. Use the picture attached. See attached file for full problem description.

Pre-heating of combustion air?

250 psi saturated steam at approximately 400 degrees F is used to pre-heat ambient air at 60 degrees F through a 100% theoretically efficient heat exchanger. The desire is to raise the temperature of the ambient air from 60 degree F to 350 degrees F ---- I need to calculate the amount of steam energy in BTU's per minutes and

Entropy Generation in a Steam Turbine

Steam at a rate of 15lbm/s enters a turbine at 500 Psia, 800f and exits at 5 Psia. For a reversible, adiabatic process (iseentropic), what is the work out of the turbine in Btu/s and what is the entropy generation?

Design Air Mass Flow Required

Water enter a cooling tower at 400C and drops 150C of temperature before exit. The tower receives atmospheric air at 200C and 40% relative humidity. The air leaves the tower at 350C and 95% relative humidity. If the atmospheric pressure is 1.01325 bar determine the design air mass flow required to handle 12,000 litres/min of co