The rim on the flywheel has a thickness t, width b, and specific weight γ. If the flywheel is rotating at a constant rate of ω, determine the maximum moment developed in the rim. Assume that the spokes do not deform. Hint: Due to symmetry of the loading, the slope of the rim at each spoke is zero. Consider the radius to be sufficiently large so that the segment AB can be considered as a straight beam fixed at both ends and loaded with a uniform centrifugal force per unit length. Show that this force is w = btγω2r/g.
Want to see the full answer?
Check out a sample textbook solutionChapter 12 Solutions
Mechanics of Materials
Additional Engineering Textbook Solutions
DESIGN OF MACHINERY
Automotive Technology: Principles, Diagnosis, And Service (6th Edition) (halderman Automotive Series)
Fundamentals of Aerodynamics
Applied Statics and Strength of Materials (6th Edition)
Degarmo's Materials And Processes In Manufacturing
Vector Mechanics For Engineers
- The shaft supports the two pulley loads shown. Determine the slope of the shaft at A and B. The bearings exert only vertical reactions on the shaft. EI is constant.arrow_forwardThe W24 * 104 A-36 steel beam is used to support the uniform distributed load and a concentrated force which is applied at its end. If the force acts at an angle with the vertical as shown, determine the horizontal and vertical displacement at A.arrow_forwardDetermine the resultant internal loadings acting on the cross-section at point C in the beam. The load D has a mass of 300 kg and is being hoisted by the motor M with constant velocity.arrow_forward
- The 65-mm-diameter steel shaft is subjected to the two loads. If the journal bearings at A and B do not exert an axial force on the shaft, determine the absolute maximum bending stress developed in the shaft.arrow_forwardThe tapered shaft is confined by the fixed supports at A and B. If a torque T is applied at its mid-point, determine the reactions at the supports.arrow_forwardBefore the uniform distributed load is applied to the beam, there is a small gap of 0.2 mm between the beam and the post at B. Determine the support reactions at A, B, and C. The post at B has a diameter of 40 mm, and themoment of inertia of the beam is I = 875(106) mm4. The post and the beam are made of material having a modulus of elasticity of E = 200 GPa.arrow_forward
- Determine the maximum allowable intensity w of the uniform distributed load that can be applied to the beam. Assume w passes through the centroid of the beam’s cross-sectional area, and the beam is simply supported at A and B. The allowable bending stress is sallow = 165 MPa.arrow_forwardThe overhang beam is made of 2014-T6 aluminum. If the 75-kg block has a speed of = 3 m>s at h = 0.75 m, determine the maximum bending stress in the beam.arrow_forwardThe beam is made from two plastic pieces glued together at the seam A. If it is subjected to the loading shown, determine the vertical shear force resisted by the flange of the beam at the critical section (in pounds). The supports at C and D exert only vertical reactions on the beam.arrow_forward
- Draw the bending-moment diagram for the shaft and then, from this diagram, sketch the deflection or elastic curve for the shaft’s centerline. Determine the equations of the elastic curve using the coordinates x1 and x2. Use the method of integration. EI is constant.arrow_forwardDraw the bending-moment diagram for the shaft and then, from this diagram, sketch the deflection or elastic curve for the shaft’s centerline. Determine the equations of the elastic curve using the coordinates x1 and x2. EI is constantarrow_forwardDetermine the slope of the 50-mm-diameter A-36 steel shaft at the journal bearings at A and B. The bearings exert only vertical reactions on the shaft.arrow_forward
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY