EBK THINKING LIKE AN ENGINEER
4th Edition
ISBN: 8220103633512
Author: OHLAND
Publisher: PEARSON
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Textbook Question
Chapter 19, Problem 15ICA
Write a MATLAB program to implement the algorithm described in ICA 19-6.
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INSTRUCTIONS: Solve the following problem by manually applying the finite element method, following these steps:
Pre-processing:
Geometry identification.
Material properties identification.
Load identification.
Boundary condition identification.
Development of the connectivity matrix for nodes and elements.
Processing:
Calculation of local stiffness matrices.
Assembly of the global stiffness matrix.
Assembly of the global force matrix (if required).
Application of boundary conditions.
Resolution of the system of equations.
Derivation of the complete displacement vector (u).
Post-processing:
Reaction forces calculation.
Stress analysis.
Problem Statement: the truss nodes and elements (in parentheses) are already numbered. The areas (are in cm^2 ) are underlined. members are made of structural steel, modulus of elasticity is (E) of 20×10^6 N/cm^2 . the lengths are given in cm.
We have designed a divide-and-conquer algorithm that runs on an input of size n. This algorithm works by spending O(1) time splitting the problem in half, then does a recursive call on each half, then spends O(n2 ) time combining the solutions to the recursive calls. On small inputs, the algorithm takes a constant amount of time. We want to see how long this algorithm takes, in terms of n to perform the task.
(a) First, write a recurrence relation that corresponds to the time-complexity of the above divide and conquer algorithm.
(b) Then, solve the relation to come with the worst-case time taken for the algorithm.
Please show all work in depth.
Chapter 19 Solutions
EBK THINKING LIKE AN ENGINEER
Ch. 19.1 - Create a written algorithm to multiply all integer...Ch. 19.1 - Create a graphical algorithm to multiply all...Ch. 19.1 - Prob. 3CCCh. 19.2 - Assume a vector v2 has already been defined and...Ch. 19.2 - Prob. 5CCCh. 19.2 - Write a while loop that requires the user to input...Ch. 19.2 - Write a program that asks the user to enter a...Ch. 19.2 - Prob. 8CCCh. 19.2 - Prob. 9CCCh. 19.2 - Write a section of code that will ask the user to...
Ch. 19.3 - Write a for loop to display every even number from...Ch. 19.3 - Write a for loop to display every multiple of 5...Ch. 19.3 - Write a for loop to display every odd number from...Ch. 19.3 - Assume a vector Vals has already been defined....Ch. 19.3 - Consider the following table of values. Determine...Ch. 19.3 - Write two nested for loops to determine how many...Ch. 19.3 - Assume a matrix MZ has already been defined. Write...Ch. 19.3 - Prob. 18CCCh. 19.3 - Determine the output of the following code:Ch. 19 - Prob. 1ICACh. 19 - Create a written algorithm or flowchart as...Ch. 19 - Create a written algorithm or flowchart as...Ch. 19 - Create a written algorithm or flowchart as...Ch. 19 - Create a written algorithm or flowchart as...Ch. 19 - Create a written algorithm or flowchart as...Ch. 19 - Create a written algorithm or flowchart as...Ch. 19 - For each of the following code segments, determine...Ch. 19 - a. Assume CA1 and CA2 are cell arrays that both...Ch. 19 - Fill in the table with the values of k, b, x, and...Ch. 19 - Assume that a simple menu has been created by the...Ch. 19 - Write a MATLAB program to implement the algorithm...Ch. 19 - Write a program that will ask the user to input a...Ch. 19 - Write a MATLAB program to implement the algorithm...Ch. 19 - Write a function named CountDown that accepts a...Ch. 19 - While experimenting with coding sequences, you...Ch. 19 - Answer the question with each of the following...Ch. 19 - For each of the following code segments, determine...Ch. 19 - a.Explain what the following function does,...Ch. 19 - For each of the following code segments, determine...Ch. 19 - Prob. 23ICACh. 19 - Prob. 24ICACh. 19 - Write a MATLAB program to implement the algorithm...Ch. 19 - Prob. 26ICACh. 19 - Write a function named GetArray that will accept...Ch. 19 - Assume the vector AM contains an even number of...Ch. 19 - Write a function named EvenSum that will accept a...Ch. 19 - Prob. 30ICACh. 19 - Write a function named CLASS that will accept a...Ch. 19 - You are assessing the price of various components...Ch. 19 - You are studying the number of defective parts...Ch. 19 - The pascal triangle an amazing number of uses,...Ch. 19 - Write a function named Prodstate that will accept...Ch. 19 - Design a flowchart for a program to help students...Ch. 19 - Create an algorithm to allow the user to enter a...Ch. 19 - Write a program to implement the algorithm...Ch. 19 - A zombie picks up a calculator and starts adding...Ch. 19 - Write a function called Balloon that will accept a...Ch. 19 - Prob. 7RQCh. 19 - Prob. 8RQCh. 19 - You are to program part of the interface for a...Ch. 19 - Prob. 13RQCh. 19 - A matrix names mach contains three columns of data...Ch. 19 - Prob. 15RQCh. 19 - You are programming the control system for a robot...Ch. 19 - Write a program to implement the GPA calculator...Ch. 19 - The Fibonacci sequence is an integer sequence...Ch. 19 - As early as 650 BC, mathematicians have been...Ch. 19 - Write a program to analyze the cooling of a cup of...Ch. 19 - After numerous experiments with a circuit...
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