Concept explainers
The car bumper is made of polycarbonate-polybutylene terephthalate. If E = 2.0 GPa, determine the maximum deflection and maximum stress in the bumper if it strikes the rigid post when the car is coasting at v = 0.75 m/s. The car has a mass of 1.80 Mg, and the bumper can be considered simply supported on two spring supports connected to the rigid frame of the car. For the bumper take I = 300(l06) mm4, c = 75 mm, σY = 30 MPa and k = 1.5 MN/m.
Prob. 14–71
Want to see the full answer?
Check out a sample textbook solutionChapter 14 Solutions
Mechanics of Materials Plus Mastering Engineering with Pearson eText - Access Card Package (10th Edition)
Additional Engineering Textbook Solutions
Engineering Mechanics: Statics
Heat and Mass Transfer: Fundamentals and Applications
Automotive Technology: Principles, Diagnosis, And Service (6th Edition) (halderman Automotive Series)
Degarmo's Materials And Processes In Manufacturing
Thermodynamics: An Engineering Approach
Vector Mechanics for Engineers: Dynamics
- The weight of 175 lb, is dropped from a height of 4 ft from the top of the A992 steel beam. Determine the load factor n if the supporting springs at A and B each have a stiffness of k = 500 lb>in. The beam is 3 in. thick and 4 in. wide.arrow_forwardThe observation cage C has a weight of 250 kip and through a system of gears, travels upward at constant velocity along the A-36 steel column, which has a height of 200 ft. The column has an outer diameter of 3 ft and is made from steel plate having a thickness of 0.25 in. Neglect the weight of the column, and determine the average normal stress in the column at its base, B, as a function of the cage’s position y. Also, determine the displacement of end A as a function of y.arrow_forwardThe weight of 175 lb is dropped from a height of 4 ft from the top of the A992 steel beam. Determine the maximum deflection and maximum stress in the beam if the supporting springs at A and B each have a stiffness of k = 500 lb/in. The beam is 3 in. thick and 4 in. wide.arrow_forward
- The composite aluminum 2014-T6 bar is made from two segments having diameters of 7.5 mm and 15 mm. Determine the maximum axial stress developed in the bar if the 10-kg collar is dropped from a height of h = 100 mm.arrow_forwardThe pipe is stuck in the ground so that when it is pulled upward the frictional force along its length varies linearly from zero at B to fmax (force/length) at C. The pipe has a length L, cross-sectional area A, and the material from which it is made has a modulus of elasticity E. Determine the initial force P required to pull the pipe out. Express your answer as an expression in terms of the variables f, L, A and E and any necessary constants.arrow_forwardA force of 10 kN is applied to the hook. If the CB cable is made of steel (E= 200 GPa) and has a diameter of 8.5 mm, determine its displacement. Consider the distance CB shown below as the initial length.arrow_forward
- The two A-36 steel bars have a thickness of 1 in. and a width of 4 in. They are designed to act as a spring for the machine which exerts a force of 4 kip on them at A and B. If the supports exert only vertical forces on the bars, determine the maximum deflection of the bottom bar.arrow_forwardThe 10-mm-diameter bolt is made of an aluminum alloy. It fits through a magnesium sleeve that has an inner diameter of 14 mm and an outer diameter of 22 mm. The original lengths of the bolt and sleeve are 80 mm and 50 mm, respectively. If after the nut on the bolt is tightened the tension in the bolt is 10 kN, determine the change of volume of the bolt and the new length of the sleeve. Wherein both materials behave linearly elastic. Assume the material at A is rigid. E = 70 GPa, Emg = 46 GPa, Ga = 27 GPa, Gmg = 20 GPa.arrow_forwardThe rod has a circular cross section. If it is made of an elastic perfectly plastic material, determine the shape factor.arrow_forward
- The tugboat has a weight of 120 000 lb and is traveling forward at 2 ft>s when it strikes the 12-in.-diameter fender post-AB used to protect a bridge pier. If the post is made from treated white spruce and is assumed fixed at the river bed, determine the maximum horizontal distance the top of thepost will move due to the impact. Assume the tugboat is rigid and neglects the effect of the water.arrow_forwardWhen the temperature is at 30°C, the A-36 steel pipe fits snugly between the two fuel tanks. When fuel flows through the pipe, the temperatures at ends A and B rise to 130°C and 80°C, respectively. If the temperature drop alongthe pipe is linear, determine the average normal stress developed in the pipe. Assume the walls of each tank act as a spring, each having a stiffness of k = 900 MN>m.arrow_forwardThe tugboat has a weight of 120 000 lb and is traveling Forward at 2 ft>s when it strikes the 12-in.-diameter fender Post AB used to protect a bridge pier. If the post is made from treated white spruce and is assumed fixed at the river bed, determine the maximum horizontal distance the top of thepost will move due to the impact. Assume the tugboat is rigid and neglect the effect of the water.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