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Week_5_HW_and_Solutions

Week_5_HW_and_Solutions - Homework Assignment Beams and...

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Homework Assignment Beams and Columns 02/21/07 1. The results of a tensile test on a round specimen of given material are shown. a) What is the modulus of elasticity of the material? b) What is the force on the specimen when the strain is 0.2 cm/cm? c) What is the yield stress? d) What is the elastic limit of the material? 2. A cantilever T-shaped beam is loaded by a uniformly distributed load of 200 N/m. a) What is the vertical distance from the bottom of the beam to the centroid of the area? b) What is the maximum bending moment?
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3. A simple truss mechanism is loaded as shown. All joints are pin-connected. a) What are the reactions at pin A? b) What are the forces in members AD and ED? c) What additional horizontal force applied at D will reduce the value of the reaction at roller E to zero? 4. Find the magnitude of the force in the member marked with an “X”. All members are pin- connected.
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5. What is the maximum flexural stress at a distance x from the free end of a cantilever beam supporting a tip load, P?
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