The beam is supported by a pin at A, a roller at B, and a post having a diameter of 50 mm at C. Determine the support reactions at A, B, and C. The post and the beam are made of the same material having a modulus of elasticity E = 200 GPa, and the beam has a constant moment of inertia I = 255(106) mm4.
Want to see the full answer?
Check out a sample textbook solutionChapter 12 Solutions
Mechanics of Materials, Student Value Edition Plus Mastering Engineering with Pearson eText -- Access Card Package (10th Edition)
Additional Engineering Textbook Solutions
Introduction To Finite Element Analysis And Design
Heat and Mass Transfer: Fundamentals and Applications
EBK FUNDAMENTALS OF THERMODYNAMICS, ENH
Engineering Mechanics: Dynamics (14th Edition)
Machine Elements in Mechanical Design (6th Edition) (What's New in Trades & Technology)
DeGarmo's Materials and Processes in Manufacturing
- The compound beam segments meet in the center using a smooth contact (roller). Determine the reactions at the fixed supports A and B when the load P is applied. EI is constant.arrow_forwardThe plate is made of material having a modulus of elasticity E = 200 GPa and Poisson’s ratio n = 1 3. Determine the change in width a, height b, and thickness t when it is subjected to the uniform distributed loading shown.arrow_forwardDetermine the reactions at the supports using stiffness method. Assume A, B and C are fixed. Take E = 200 GPa, I = 350 (106 ) mm4 and A = 15 (103 ) mm2 Draw shear force and moment diagram of framearrow_forward
- The compound beam is supported by a roller at point C, fixed at point A, and the two sections are pinned at point B. It is subjected to a free couple moment M, a distributed load with maximum load intensity w, and a concentrated force F. If the distributed load w = 0.6 kN/m, the concentrated force F = 0.6 kN, and the free couple moment M = 0.8, determine the magnitude of the support reaction (in kN) at pin B. Answer must include 2 places after the decimal point.arrow_forwardThe beam AB will fail if the maximum internal moment at D reaches or the normal force in member BC becomes 1500 N. Determine the largest load w it can support.arrow_forwardUsing the slope and deflection method please solve: A horizontal propped cantilever of length L is securely fixed at one end and freely supported at the other end and is subjected to a bending couple M in the vertical plane containing the longitudinal axis of the beam. If the couple is applied about an axis 0.75L from the fixed end of the cantilever, determine the end fixing moment and the reaction at the freely supported end. Fixed end moment answer given: 1.406 M/L Answer given for the Reaction at the freely supported end: 0.406Marrow_forward
- The composite shaft, consisting of aluminum, copper, and steel sections, is subjected to the loading shown. Determine the displacement of B with respect to C. The cross-sectional area and modulus of elasticity for eachsection are shown in the figure. Neglect the size of the collars at B and C.arrow_forwardThe cantilevered beam is subjected to a couple of moment M0 applied at its end. Determine the slope of the beam at B. EI is constant. Use the method of virtual work.arrow_forwardDetermine the vertical reaction (A y - kN) and the reactive moment (M A - kN·m) at the support at A considering thestock values: M = 10·a + 30·b + 20·c + 200 {kN·m}, q = 20·(a + b) + 10·c + 100 {kN/m} and F = 30· (a + b+ c) + 50 {kN}. The beams AB and BC of the beam are interconnected by a smooth pin at B. Assume minimum accuracyof 6 significant figures. (a = 7; b=1 ; c=1) Ay= MA=arrow_forward
- The pipe with two rigid caps attached to its ends is subjected to an axial force P. If the pipe is made from a material having a modulus of elasticity E and Poisson’s ratio n, determine the change in volume of the material.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. Use the method of integration. EI is constant.arrow_forwardDetermine the equations of the elastic curve using the coordinates x1 and x2. EI is constant.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