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Mechanical Engineering

Applied Loads, Young's Modulus, Poisson's Ratio

The Young's modulus and the Poisson's ratio for copper are 124.8 GPA and 0.36 respectively. When a tensile load is applied to a 1.5cm diameter copper rod, the diameter is reduced to 1.498cm. What is the correct applied load? a) 81,640N b) 73,500N c) 82,550N

Tension and Force Exerted

A 1 kg collar C slides without friction along the rod OA and is attached to rod BC by a frictionless pn. The rods rotate in the horizontal plane. At the instant shown BC is rotating counterclockwise and the speed of C is 1m/s, increasing at a rate of 1.2m/s^2. Determine at this instant, a) the tension n rod BC, b) the force exer

Newton Laws, conveyer belt

1. A package is at rest on a conveyer belt which is initially at rest. The belt is started and moves to the right for 1.5s with a constant acceleration of 3.2m/s^2. The belt then moves with a constant deceleration a_2 and comes to a stop after a total displacement of 4.6m. Knowing that the coefficients of friction between the pa

Working Speed in RPM

A transmission shaft is fitted with a coupling that is secured by eight 20 mm diameter bolts pitched on a circle with a diameter of 225 mm. The bolt material has an ultimate shear stress of 280 MN/m2 and a factor of safety of 4.0 is to be used. If the power being transmitted is 1.8 MW, determine the working speed of the shaft in

Shear Stress Calculations

Aluminium alloy blanks are produced from sheet metal by a punching machine that generates a punching force of 30 kN. For sheet metal with a thickness of 3 mm the maximum diameter of the blanks is 13.0 mm. Determine. (a) The ultimate shear stress of the aluminium alloy. (b) The stress on the punch face. Please show work

Shear stress calculation

The butt riveted joint shown below consists of two cover plates and three 8 mm diameter rivets in each main plate. (a) During testing, a tensile load is applied to the main plates. The load is increased until the joint fails at a load of 57.3 kN. Determine the ultimate shear stress of the rivet material. (see attachment fo

Stress and Strain Calculations

A mild steel shaft (modulus of elasticity = 210 GN/m2) has a stepped circular cross-section. Part A has a diameter of 75 mm and a length of 425 mm. Part B has a diameter of 60 mm and has a length of 375 mm. The shaft carries an axial tensile load of 65.0 kN. Determine: (a) The stress in Part A (b) The stress in Part B (c

Process Design - Assembly Line

#1.) An assembly line is to operate 8 hours per day with a desired output of 240 units pr day. The following table contains information on this product's task, task time, and precedence relationship. (see attachment) a.) Design an assembly line that is capable of achieving the desired output rate with the fewest number

Francis turbine rotation

1. Water flows at a rate of 19.8m^3/s through a Francis turbine rotating at 228rpm. At the inlet to the runner, the runner diameter is 1.8m, the blade length is 30cm, and the relative flow angle is 29 degrees, measured from the radial direction. The fluid leaves the runner without swirl, and the hub and tip diameters at runner e

Stress and Rotation Angle of Two Steel Shafts

Two solid steel shafts (G = 11.2 x 106 psi) are connected by the gears shown. Ends B and D are fixed. Assume points A and C are where the gears meets the shafts. What is the maximum shear stress in shaft CD under the loading shown? Choose One: 7.832ksi 6.987ksi 6.443ksi 5.844ksi What is the angle through which end C r

Direct Stress and Strain on Steel Rod

A steel rod having a cross-sectional area of 0.005m2 and length 3m is attached to supports. Find (a) the force exerted by the rod on the supports if the temperature falls 60 degrees and the supports are unyielding. and (b) the force exerted by the rod on the supports if they yield 0.0002m while the temperature raises 50 degrees.

Equation of an Elastic Curve

Given the equation of the elastic curve for a simply supported beam, how would you obtain the slope in the beam, since the equations are related? I was confident that I had to differentiate the elastic curve twice however that answer was wrong!!! My other options are... a) Differentiate the elastic curve b) Integrate the

Mechanics of Materials and Critical Loads

A hollow brass rod is pin jointed and loaded in compression as shown. Knowing that the length L = 3 m, outside diameter D = 60 mm, and the wall thickness t = 10 mm Determine the critical load P. Use E = 105 GPa Choose One: 84.8kN 72.4kN 58.8kN 45.2kN Determine the normal stress at the critical load. Choose One: 32.1

Mechanics of Materials and Reaction Force

For the beam and loading shown, determine the reaction force at end A Choose One: 12kN 40kN 36kN 8kN For the beam and loading shown, determine the reaction force at end B Choose One: 12kN 40kN 36kN 8kN (See attached file for full problem description and diagram)

Mechanics of Materials: Slope & Deflection

A) For the cantilever beam and loading shown, determine the slope at point B. Use E = 29,000,000 psi Choose One: .0021rad .0051rad .0175rad .0196rad b) Determine the deflection at point B Choose One: .113in .285in .424in .625in

Deflection Mechanics of Materials

The rod ABC is made of steel (E = 29 x 106 psi). Determine the deflection at point B. Choose One: .002in .004in .006in .008in Determine the deflection at point C. Choose One: .013in .017in .024in .029in Determine the normal stress in section BC Choose One: 10.47ksi 14.38ksi 16.75ksi 18.31ksi

Bending of Beams

Determine the maximum tensile and compressive bending stresses (together with the positions at which they occur) in the beam shown in the file. (Figure 1). The beams cross sectional area is also shown in the file. (See Figure 2 in attachment).

Complex Loading - Bending and Compression

A steel chimney is 28m high, 1.4m external diameter, and 20mm thick. It is rigidly fixed at the base and is acted upon by a horizontal wind pressure of intensity 1.1KN/m2 on the projected area. The steel weighs 74KN/m length. Calculate the maximum stress in the chimney at the base.

Vector integral - stokes therom

Evaluate the line integral by stokes theorem (clock wise as seen by a person standing at the origin). Calculate this integral by stoke's theorem for the following C and F (referred to right-handed cartesian coordinates). F=[y, 1/2 z, 3/2 y] C the circle x^2 + y^2 +z^2 = 6z, z=x+3

Midpoint of a Bezier Curve and Arc

Determine the Bezier curve of order 3 that approximates a quarter circle centered at (0,0), (1,0), (0,1). a) Calculate the coordinate of the middle point on the Bezier curve and on the arc and compare them (I have already calculated the midpoint of the arc which is 0.5, 0.5 and the Bezier curve is supposed to be about the sam

B-Spline Curve

Answer the following questions for a nonperiodic B-spline curve of order 3 defined by the control points P0,P1,P2,P3. a- What are the knot values? b- How many different curves is the B-spline curve composed of? c- Expand the B-spline curve equation to get the separate equations of the curves in b.

Centrifugal pump analysis performance

A centrifugal pump is run under test at 1500 rev/min and returns the following performance figures... The pump is required to transfer water from a lake to a reservoir with a water level... See attached file for full problem description

Find the isobars (curves of constant pressure)

Consider the scalar field (pressure field) given by the function f(x,y)=9x2 + 4y2 Q: Find the isobars (curves of constant pressure) and sketch some of them. Complete problem in attached file...

Resistance of Copper Wire

See the attached file. a) What is the resistance of the wire? (see attachment for diagram and full questions) b) If a voltage of 1mV=10^-3volts is applied across the wire, what is the current (I) and current density (J) along the wire? c) Taking 1 electron per atom as conducting (we will justify later, why most of the C

Psychometry Problem for a Precision Gauge Laboratory

In the attached problem, there is a solution to part a attached. Please solve part b completely. In an air conditioning system for a precision gauge laboratory, atmospheric air at 32 C, 101.3 kPa and 80% relative humidity is first chilled to 10 C to remove moisture.

Block Stopping on an Incline with Spring

The package slides down a ramp and contacts the spring at a velocity of 20 ft/s. The spring has a mass that can be considered negligible. The spring constant is 1800 lb/ft. How many inches does the spring compress in order to stop the package? (150 lb package) (See attached file for full problem description)

Rotation bars and slider

Rod AB is rotating 4rad/s clockwise. The speed in m/s of the slider is what in m/s? (See attached file for full problem description)