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A vessel is loaded by internal pressure p = 130 kPa, horizontal force Px = 60 N, vertical force Py = 190 N, and torque T = 6 N·m acting in the directions shown. Determine the normal stress σz at K on the outside of the vessel.Vessel geometry    height, h = 48 mm    outside diameter = 48 mm    inside diameter = 44 mm    wall thickness = 2 mm    cross sectional area = 289.03 mm2    Ix = Iz = 76,592 mm4    J = 153,180 mm4    Q = 2,117.3 mm3

An unpressurized vessel is loaded by horizontal force Px = 80 N, vertical force Py = 180 N, and torque T = 3 N·m acting in the directions shown. Determine the magnitude of shear stress τxy at H on the outside of the vessel.Vessel geometry    height, h = 46 mm    outside diameter = 46 mm    inside diameter = 40 mm    wall thickness = 3 mm    cross sectional area = 405.27 mm2    Ix = Iz = 94,123 mm4    J = 188,250 mm4    Q = 2,778 mm3

A wooden ruler with length L = 12 in. carries loads Px = 10 lb and Py = 3 lb. The ruler has a rectangular cross section with a thickness of 0.215 in. and a height of 1.060 in. Determine normal stress σx on the bottom surface of the ruler at B.

A solid steel shaft with a diameter of 9.1 mm is subjected to the axial load and torques shown. Determine the magnitude of shear stress τxy in segment (3) of the shaft. Assume that P = 1,200 N, TA = 11.9 N·m, TB = 41.4 N·m, TC = 18.2 N·m, TD = 43.8 N·m, and TE = 55.1 N·m.

An unpressurized vessel is loaded by horizontal force Px = 80 N, vertical force Py = 160 N, and torque T = 3 N·m acting in the directions shown. Determine the magnitude of shear stress τyz at K on the outside of the vessel.Vessel geometry    height, h = 52 mm    outside diameter = 52 mm    inside diameter = 48 mm    wall thickness = 2 mm    cross sectional area = 314.16 mm2    Ix = Iz = 98,332 mm4    J = 196,660 mm4    Q = 2,501.3 mm3

A wooden ruler with length L = 12 in. carries loads Px = 18 lb and Py = 3 lb. The ruler has a rectangular cross section with a thickness of 0.175 in. and a height of 1.025 in. Determine normal stress σx on the bottom surface of the ruler at B.

A copper [E = 16,300 ksi; ν = 0.38] water line has an outside diameter of 0.630 in., a wall thickness of 0.036 in., and a yield strength of 5.91 ksi. If a factor of safety of 2.5 is required, determine the maximum pressure that the pipe may contain.

An unpressurized vessel is loaded by horizontal force Px = 90 N, vertical force Py = 200 N, and torque T = 4 N·m acting in the directions shown. Determine the magnitude of shear stress τyz at K on the outside of the vessel.Vessel geometry    height, h = 48 mm    outside diameter = 48 mm    inside diameter = 42 mm    wall thickness = 3 mm    cross sectional area = 424.12 mm2    Ix = Iz = 107,830 mm4    J = 215,660 mm4    Q = 3,042 mm3

Short Answer As part of your exam there are 3 short answer questions worth 10 points each that need to be answered. Five short answer questions are presented below, and you should select (only) 3 to answer in completion.  Please read through each of the 5 short answer question options and pick the 3 you feel you can answer most completely. Keep in mind that you will only be graded on 3 of the questions and answering all 5 questions will not provide extra points. Even if you answer additional questions, only the first 3 will be graded.  Requirements All 3 questions should be answered in at least 6-8 complete sentences. Your answer should: address all parts of the question, include sociological concepts, definitions and provide adequate examples to support your answers. Question Options 1. Define the sociological imagination. Explain what it means to use a sociological imagination when analyzing a social issue. Then, describe how a sociologist would analyze poverty and contrast your analysis to the way someone NOT using a sociological imagination might explain poverty.   2. Identify and explain two (2) sociological perspectives in terms of their: a) image of society b) level of analysis c) theoretical application/explanation of a named social problem   3. Select two (2) of the Major Sociological Research Methods. Describe the method, identify the advantages and disadvantages of each approach. Your answer should include examples.   4. Identify and explain the key components that must be present for an issue to be considered a social problem. Why is each component important in shaping society’s response to the issue? Your answer should include examples.     5. Explain the difference between the objective and subjective components of a social problem. Why are both necessary to fully understand how a social problem is recognized and addressed in society? Your answer should include examples.

A copper [E = 16,500 ksi; ν = 0.38] water line has an outside diameter of 0.621 in., a wall thickness of 0.036 in., and a yield strength of 5.57 ksi. If a factor of safety of 2.6 is required, determine the maximum pressure that the pipe may contain.