Option 1 for students enrolled in civil construction

Assignment Help Application Programming

Reference no: EM13380172

Option 1: For students enrolled in Civil, Construction, Mechanical, Coastal, or Environmental Engineering.

A circular shaft has a diameter, d (m), that varies with axial position, x (m), along the shaft (from the support position at x = 0 m). The variation is given by d = 0.02e^-x (1+x² ) where 0 ≤ x ≤ 3 m. An axial load P = 40kN is applied to the end of the shaft, whose Modulus Elasticity E = 2*10¹¹ Nm^-2.

The axial elongation of the ?L (m) of the shaft in the range of values of 0 ≤ x ≤ 3 m is given by: ?L = P/E ∫4dx/(πd²).

2361_MATLAB integration techniques.png

a) Using MATALB, plot the shaft diameter with axial position. Use appropriate labels.

b) Use MATLAB integration techniques to determine the total Axial Elongation.

c) Explain the theory of Simpson 1/3 rule for integration in detail. Use appropriate examples to demonstrate how it works and how the integration result is computed.

Option 2: For students enrolled in Electrical, Electronic, or Mechatronic Engineering.

The effective average DC equivalent value of an alternating current is given by the formula:

IRMS = √(T^-1∫[i(t)]²dt)

where i(t) is the instantaneous current (A) and T is the waveform period (s) and the lower and the upper limits of the integration are 0 and T. The current within a circuit (which replicates every 5 ms) is given by:

i(t) = 10e^-t/5sin(2πt/5) (mA)

a) Using MATALB, plot the circuit current i(t) over four periods. Use appropriate labels.

b) Use MATLAB integration techniques to determine the equivalent DC current (RMS) within the circuit.

c) Explain the theory of Simpson 1/3 rule for integration in detail. Use appropriate examples to demonstrate how it works and how the integration result is computed.

Reference no: EM13380172

Questions Cloud

Design patterns a there is something wrong with the : design patterns a there is something wrong with the following instance of the template method pattern.explain what is

Consider the following class denition this class is : consider the following class denition. this class is considered to be in an inconsistent state if the isconsistent

Questionnbsp the template method pattern and the strategy : questionnbsp the template method pattern and the strategy pattern both abstract some computation in the form of

Your boss calls you into his office and he is extremely : your boss calls you into his office and he is extremely angry. he was embarrassed at a meeting because he put forward a

Option 1 for students enrolled in civil construction : option 1 for students enrolled in civil construction mechanical coastal or environmental engineering.a circular shaft

The figure below is an example profile of a man instead of : the figure below is an example profile of a man. instead of the profile you can also use a unique different to every

Consider the following three sets of equationsa write all : consider the following three sets of equations.a write all of the above sets of equations in the matrix format and

In numerical integration and in many other cases we need a : in numerical integration and in many other cases we need a polynomial named legendre polynomial. often the zeros i.e.

1 five reactors linked by pipes are shown in the following : 1. five reactors linked by pipes are shown in the following figure. the rate of mass flow through each pipe is computed

User Account

All Pages