Midterm 2 - Axial force, shear force, bending moment diagrams, vertical displacement, qualitative PDF

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Axial force, shear force, bending moment diagrams, vertical displacement, qualitative sketch of deformed shape,...

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Pennsylvania State University Department of Civil and Environmental Engineering C E 340: Structural Analysis Spring 2020 Midterm # 2 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. The integration tables and a notecard are allowed 5. There are 2 questions overall

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1. Calculate and draw in full detail the axial force, shear force and bending moment diagrams for the following frame. Indicate the magnitude and location of the maximum and minimum moments for all members. (40 points)

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Question 1 – Continued

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Question 1 – Continued

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2. The following beam has a fixed support at A, a roller at C and an internal hinge at B. Use the method of virtual work to determine: (a) the vertical displacement at point D of the beam. (50 points) (b) Qualitatively sketch the deformed shape of the structure based on the support conditions, the signs of the moment diagram, and the calculated value from (a). Justify your answer. (10 points)

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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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