Final Exam - Reactions of indeterminant beam. Shear force, bending moment diagrams. Maximum PDF

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Reactions of indeterminant beam. Shear force, bending moment diagrams. Maximum and minimum moments. Preliminary compatibility equations, force method...

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Pennsylvania State University Department of Civil and Environmental Engineering C E 340: Structural Analysis Spring 2020 Final Exam NAME: ________________________________

Instructions: 1. Write first and last name 2. Provide an organized, neat and legible solution for each problem 3. Write your solutions on the space provided after each question 4. Closed notes and books 5. There are 3 questions overall

1

1. Use the force method to calculate reactions of the indeterminate beam. Then, calculate and draw in full detail the shear force and bending moment diagrams. Indicate the magnitude and location of the maximum and minimum moments. (45 points – Suggested time 45 minutes)

2

Question 1 – Continued

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Question 1 – Continued

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Question 1 – Continued

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2. Use the force method to calculate reactions of the indeterminate frame. Then, calculate and draw in full detail the axial force, shear force and bending moment diagrams. Indicate the magnitude and location of the maximum and minimum moments for all members. E is constant. (45 points – Suggested time 55 minutes)

2.4k/ft

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Question 2 – Continued

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Question 2 – Continued

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Question 2 – Continued

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Question 2 – Continued

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3. Provide the preliminary compatibility equations that you would use in order to analyze these indeterminate structures based on the force method. Do not calculate the needed coefficients, just provide the compatibility equation expressions for the following cases. (5 points each – Suggested time 10 minutes)

(a)

(b)

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Question 3 – Continued

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