# Midterm A - 1 The beam ABC is under uniform distributed...

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1. The beam ABC is under uniform distributed loads and a concentrated moment as shown. (10 marks) a) Draw the Free Body Diagram of the beam. b) Calculate the Reactions. c) Draw the Shear Force Diagram for the beam ABC. e) Draw the Bending Moment Diagram for the beam ABC. B A C 3 m 3 m 9 kN/m 9 kN/m 30 kN·m · x

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2. All supports and joints are pin connections (free rotation). Links BC and DE are of rectangular cross-section 12 mm x 6 mm and are made of steel with E = 200 GPa. Rod AF can be considered rigid. (10 marks) a) Determine the forces in link BC and link DE. b) Determine the reactions at F. c) Determine the displacement at A. E C F D B P = 2.5 kN 100 mm 50 mm 50 mm 100 mm 125 mm A pin rigid bar
3. A nylon cylinder having a diameter d1 = 69.8 mm is placed inside a steel tube having an inner diameter d2 = 70 mm and outer diameter = 74 mm. Both the tube and the cylinder are then compressed by an axial force P. (10 marks) Assume the following material properties: for steel tube: E = 200 GPa, ν = 0.3; for nylon cylinder: E = 5 GPa, ν = 0.4.

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Midterm A - 1 The beam ABC is under uniform distributed...

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