Statics Exam 1 for Mechanical Engineering Students at Rose-Hulman Institute of Technology, Exams of Mechanics of Materials

Download Statics Exam 1 for Mechanical Engineering Students at Rose-Hulman Institute of Technology and more Exams Mechanics of Materials in PDF only on Docsity! ROSE-HULMAN INSTITUTE OF TECHNOLOGY Department of Mechanical Engineering EM120 Statics Page 1 of 7 Exam 1 March 18, 2008 Name: _____________________________ CM: ______ Section: _______________________ Problem 1 (35 pts) ________ Problem 2 (35 pts) ________ Problem 3 (30 pts) ________ Total ________ Be sure to show all work to receive full credit. The equation sheet is on the last page. Exam 1 Statics Page 2 of 7 Problem 1 – 35 points a. What are the x, y and z scalar components for F shown in the figure below? Fx = _______________lb Fy = _______________lb Fz = _______________lb Exam 1 Statics Page 5 of 7 Problem 2 – cont. Exam 1 Statics Page 6 of 7 Problem 3 – 30 points To receive credit you must support your answer by showing all work. a. A zirconium tube with inside and outside diameters of 20mm and 30mm is used to support a fuel rod assembly. The maximum tensile stress on zirconium in this application may not exceed 200 MPa. What is the maximum tensile load that may be applied to a given zirconium tube? b. An engineer proposes designing another fuel rod assembly. In the design, the fuel rod is suspended with a shrink-fit tube around the outside diameter of a fuel rod. The length of the fuel rod that is in contact with the shrink fit is 5 cm. The shear strength of the joint is 300 kPa. If the mass of the rod below the shrink fit joint is 200 kg, will the shrink fit joint hold the mass without slipping? The outside diameter of the fuel rod is 60 mm. Before fuel rod insertion After fuel rod insertion shrink fit tubing fuel rod, diameter = 60 mm Exam 1 Statics Page 7 of 7 Exam 1 Equation Sheet Force Equilibrium in Two and Three D. ∑ = 0xF ∑ = 0yF ∑ = 0zF Normal / Shear Stress nA N =σ nA V =τ Stress on an Oblique Plane θσ 2cos oA P = θθτ sincos oA P = Unit vector 222 ˆˆˆ zyx zyx RRR kRjRiR R Re ++ ++ == Dot product of vectors zzyyxx BABABABABA ++==⋅ )cos(θ