Eng3104 lab5

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Eng3104 lab5

Requirements For this assessment item, you must perform hand calculations: Derive the formulae for the slope v'curvature v'' and v''' of the beam from Eq.

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Estimate the value of the slope at the second measurement point using backward, forward and central differences. Validate your answers from Requirement 2 using the appropriate formula from Requirement 1. Estimate the numerical errors in the calculations of Requirement 2 using the appropriate formulae from Requirement 1.

What is the ratio of the numerical error to the deviations from the theoretical values calculated in Requirement 3? Be careful to get the sign consistent between the errors i. Discuss which is the best result out of the backward, forward and central differences and why.

Calculates backward, forward and central differences for the length of the beam. Verifies the results from Requirement 6 using the results of Requirement 2. Calculates the theoretical values at the measurement locations using the appropriate for- mula from Requirement 1.

Calculates the error between the numerical and theoretical values. Estimates the numerical error in the calculations of Requirement 6. Plots the results from Requirements 6 and 8 on the same graph. Plots the results from Requirements 8 and 9 and discusses the results, including which is the best method, reporting to the Command Window1.

Has appropriate comments throughout. Introduction One of the challenges with calculating derivatives is that noise in the data is amplified when the data is differentiated.

However, random noise in data is diminished when the data is integrated. Your task in this question is to compare integration versus differentiation.

Use the trapezoidal method to determine the deflections at the mid-point and end of the beam using the data in ass3q2in. Perform the calculations using the data at 5 mm intervals do not calculate based on all the data. Validate your answers using the theoretical values from Eq. Uses the trapezoidal method to determine the deflections at the mid-point and end of the beam using the same data as Requirement 1.

Verifies the results from Requirement 3 using the results of Requirement 1. Uses the trapezoidal method to determine the deflections at the mid-point and end of the beam using all the data in ass3q2in.

Eng3104 lab5

Reports the values from Requirements 3 and 5 and the theoretical values from Eq. Estimates, reports and discusses the numerical error in the calculations of Requirement 5. Plots the data from from ass3q2in.

Solution-Determine the range of k for stability

Plots the data from from ass3q1in. Discusses the results from the plots. Assume that the properties of water are constant use the values from Table 1 at K. Use Euler's method to estimate the temperature after 10 s using five equal steps.

Eng3104 lab5

Only use the first formula for Q''' even if the temperature goes over K. Given the assumptions of Requirement 1, use Eq. Find the analytical solution of Eq.

Repeats Requirement 1 to verify the method.If you want to become a Professional Environmental Engineer, and have a 3 year engineering degree but no work experience, USQ s Master of Engineering Science (Environmental Engineering) will get you there.

Throughout the degree there is an. JANUARY Process Solutions Issue No. The GUARDIAN newsletter is published for, and proprietary to, customers worldwide wit. 1 3 3 3 3 3 3 3 1 To qualify as a SPaM free elective of three credits, a student taking this course needs to add a 1credit performance course: applied keyboard, applied voice.

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