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PSE219 Exam 1 September 22

# PSE219 Exam 1 September 22 - 3(25 points The structure...

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PSE219 Exam 1 September 22, 2006 NAME:_____________________________ 1. (25 points) The cross-section of a hexagonal cylinder is shown below. All sides have equal length. The cylinder is subjected to the forces shown on the figure. a. Show an example of a “line of action” on the figure. b. Is there any thing special about the forces shown in the figure. (Explain) c. Show whether this structure is in static equilibrium or not? What is the implication of your answer. x y 25 N 31.16 N 15 N 5 N 5 N 5 N 5 N 5 N

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2. (25 points) a. Draw a properly labeled stress-strain curve for a material. Mark the following: ultimate stress, stretch, elastic modulus, and tensile energy absorption. b. Draw a stress-strain curve for a material that is linear elastic up to a given stress and then displays yielding. Show by way of arrows on a stress- strain curve for the case where a sample is first loaded above the yield stress, and then unloaded back to zero stress. c. Explain or show the difference between normal and shear strains.

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Unformatted text preview: 3. (25 points) The structure shown below is in static equilibrium. It shows a wheel with a diameter of d, and a mass of m. It is held in place by a wire attached to an anchor block at the top of the hill. The wire is parallel to the ground. The contact between the wheel and the wire is smooth. a. Develop and equation for the tension in the wire as a function of the angle of the hill. wheel wire anchor block θ 4. (25 points) The rod (circular cylinders) assembly shown is made of two different diameter bars. It is also subjected to the two loads shown in the Figure. Assume the material follows Hooke’s law. Determine the following. a. The maximum axial and shear stresses in the assembly. b. The overall change in length of the rod due to the applied loads. Young’s modulus is 10x10 6 psi. (Label the various types of equations used in your solution) 100 lb 200 lb 50 in 50 in 0.1 inch dia. 0.2 inch dia. 50 in...
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