# ME206_Q2 - Surname Name ID number 20.10.2010 ME206 Fall...

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Surname: Name: ID number: 20.10.2010 ME206 - Fall 2010 QUIZ 2 Q. A rigid beam AB rests on two cylindrical posts as shown below. Post AC is made of steel and has a diameter of 20 mm; post BD is made of aluminum and has a diameter of 40 mm. Determine the displacement of point F when a vertical load of 90 kN is applied on this point. SOLUTION: In order to determine the displacement of point F, we need to know the individual deformation of each post . This requires the knowledge of compressive forces acting on the posts. 0 90 kN 0 90 kN 0 600 mm 90 kN 200 mm 0 30 kN F 60 kN y A B A B AB B A F F F F F MF F        Deformation of post AC:        33 6 2 39 60 10 300 10 286 10 m 10 10 200 10 0.286 mm, downwards A AC A AC st FL AE  Deformation of post BD:

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ME206_Q2 - Surname Name ID number 20.10.2010 ME206 Fall...

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