the DATS Fatigue Life and Analysis software along with hard-ware for measurement and testing of vibration and noise of vehicles and industrial equipment.5. Comsol Multiphysics multiphysics/ A producer of simulation software covering many types of physical phenomena including structural me-chanics, thermal analysis, computational fluid mechanics, and others. An overview of the range of structural mechanics anal-ysis methods is illustrated in the short, free YouTube video at .6. AutoFEM Software, LLP A producer of finite-element analysis software linked with AutoCAD. Includes five modules: static, fatigue, frequency, buckling, and thermal analyses. Offers free AutoFEM Analysis Lite for users of AutoCAD with somewhat restricted capabilities.7. ANSYS Structural analysis finite-element software that includes linear and nonlinear static and dynamic analysis of structures and mechanical devices. Also includes the nCode Design Life fatigue analysis software.8. MSC Software Provider of desktop versions of many types of MD NASTRAN software for static and dynamic analysis of structures and moving devices, including fatigue analysis.PROBLEMSStress RatioFor each of Problems 1–9, draw a sketch of the variation of stress versus time, and compute the maximum stress, minimum stress, mean stress, alternating stress, and stress ratio, R. For Problems 6–9, analyze the beam at the place where the maximum stress would oc-cur at any time in the cycle.1. A link in a mechanism is made from a round bar having a di-ameter of 10.0 mm. It is subjected to a tensile force that varies from 3500 to 500 N in a cyclical fashion as the mechanism runs. 2. A strut in a space frame has a rectangular cross section of 10.0 mm by 30.0 mm. It sees a load that varies from a tensile force of 20.0 kN to a compressive force of 8.0 kN.3. A link in a packaging machine mechanism has a square cross section of 0.40 in on a side. It is subjected to a load that varies from a tensile force of 860 lb to a compressive force of 120 lb. Beam cross sectionBCADSteeltube4 H110032 H110031/RAF1= 1800 lbF2= 1800 lbRD8 in8 in14 inFIGURE P5–6 (Problems 6 and 23)Section A–A12 mm60 mm175 mm450 mmLoad on bracketSimple supportsBracketAA275 mmFIGURE P5–8 Seat bracket (Problems 8, 19, and 20)7. A cantilevered boom is part of an assembly machine and is made from an American Standard steel beam, S4*7.7. A tool with a weight of 500 lb moves continuously from the end of the 60-in beam to a point 10 in from the support.8. A part of a bracket in the seat assembly of a bus is shown in Figure P5–8. The load varies from 1450 to 140 N as passengers enter and exit the bus.9. A flat steel strip is used as a spring to maintain a force against part of a cabinet latch in a commercial printer as shown in Figure P5–9. When the cabinet door is open, the spring is deflected by the latch pin by an amount y1=0.25 mm. The pin causes the deflection to increase to 0.40 mm when the door is closed. 4
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