Question

In order for the flamingo to get exercise the zookeepers have constructed an aluminum perch with a cable that attaches to the flamingo's legs. In order for the flamingo to get exercise the keepers attach the cable to her legs while she is sitting on the perch. Then she leaps off the perch and flies in place while attached to the cable. For some reason known only to the flamingo, she ALWAYS flies in a direction is horizontal to the ground and perpendicular to arm of the perch. Arm (parallel to ground) Cable NOTE: Force from the cable is applied at the end of the arm and is ALWAYS directed parallel to the ground and perpendicular to the arm of the perch Concrete Pad in Ground GEOMETRY OF THE PERCH. NOTE THAT IN THIS VIEW THE TENSION FORCE FROM THE CABLE WOULD BE STRAIGHT OUT OF THE PAPER: 40.00 in. 2.000 inch diameter solid round bar 50.00 in POINT A 2.00 in. POINT A Fillet radius- 0.100 in. Diameter 2.400 in. 2.00 in. Detail of the base of the perch where it mounts into the concrete pad HERE IS WHAT IS KNOWN ABOUT THE PERCH - It is fabricated from Grade 2024 heat treated aluminum -All components are machined. - It has the dimensions shown above The base of the perch is embedded in a concrete pad - It sits outside at the Cullowhee zoo -It should have a reliability of 99% against a fatigue failure While the flamingo is flying. she creates a tension force on the cable that varies with time as she flaps her wings. A plot of the tension force vs. time looks like this: 50.00r Force (Ibf) 0.00 1.00 0.50 0.00 Time (sec.) Problem 2 (50 points): Find the factor of safety against fatigue failure at Point A, which is located at the base of the fillet on the front of the vertical pole, as shown on the previous page NOTE: You should write down step-by-step comments and symbolic equations that tell me what you are doing as you work through this problem!

Answer 1

Dear student,

I am a expert from India so there would be different in designing procedure of my country and your country so please don't rate my answer down if it doesn't follows your designing procedure.

Answer is-

Steps to follow

1. Determination of fatigue factors and fatigue strength.

2. Calculation of mean and variable forces.

3. Determination of equivalent stresses.

4. Determination of principle shear strength as the factor of safety due to shear is always greater than bending.

5. Detrmination of factor of safety.

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