Concept explainers
Two tempered-steel bars, each
Fig. P2.111
Want to see the full answer?
Check out a sample textbook solutionChapter 2 Solutions
Loose Leaf For Mechanics Of Materials Format: Looseleaf
- A copper bar consists from three sections: sections 1 is of 25 mm diameter and 60 mm long, section 2 is of 15 mm diameter and 50 mm long and section 3 is 20 mm square and 40 mm long. The bar is subjected to an axial tensile load which induces a stress of 20 MN/m2 on the smallest cross section. Determine the total Increase in the length of the bar when the load is applied. For copper E=100 GN/m2.arrow_forwardA solid aluminum [E = 64 GPa] rod (1) is connected to a solid bronze [E = 114 GPa] rod (2) at flange B, as shown. Aluminum rod (1) has an outside diameter of 36 mm and bronze rod (2) has an outside diameter of 17 mm. The normal stress in the aluminum rod must be limited to 124 MPa, and the normal stress in the bronze rod must be limited to 92 MPa. Assume L1 = 168 mm and L2 = 399 mm. Determine: (a) the maximum downward load P that may be applied at flange B. (Answer: P = 146kN)(b) the deflection vB (downward is positive) of flange B at the load determined in part(a). (Answer: vB = .322 mm)arrow_forwardA steel rod of 30 mm diameter is enclosed centrally in a hollow copper tube of external diameter 40 mm and 5 mm thick. The composite bar is then subjected to an axial pull of 45 kN. If the length of the compound rod is 150 mm , and the elasticity moduli are Est = 200 GPa and Ecu = 100 GPa , determine: 1.2.2 The load carried by the rod and that carried by the tubearrow_forward
- THe bracket shown is made of cold drawn steel with Sy=400MPa and Su=480 MPa, and is fastened to a beam made of the same material by five rivets that are made of a steel with Sy=300 MPa and Sut=365 MPa. The thickness of the bracket and the beam are 12 mm and 16 mm respectively.Diameters of the rivets are 20 mm. What safe load F(steady) can be supported by the riveted joint for a factor of safety of 2. Use distortion energy theory of failure.arrow_forwardA timber column, 8in. by 8in. in cross section is reinforced on all four sides by steel plates, each plate being 8in. wide and "t"in. thick. Determine the smallest value of "t" for which the column can support an axial load of 300 kips if the working stresses are 1200psi for timber and 20ksi for steel. The moduli of elasticity are 1.5x10^6psi for timber and 29x10^6psi foe steel -Draw and label the diagram correctly, No diagram in the solution will be marked wrong. -Shortcut solution will be marked wrong.- Direction of the assumption of the equilibrium equation must be shown, no direction will be marked wrong.arrow_forwardA steel [E=200 GPa] rod with a circular cross section is 10 m long. Determine the minimum diameter required if the rod must transmit a tensile force of 260 kN without exceeding an allowable stress of 240 MPa or stretching more than 10 mm.arrow_forward
- A timber column, 8 in. by 8 in. in cross section, is reinforced on all four sides by steel plates, each plate being 8 in. wide and t in. thick. Determine the smallest value of tfor which the column can support an axial load of 300 kips if the working stresses are 1200 psi for timber and 20 ksi for steel. The moduli of elasticity are 1.5 x106psi for timber and 29 x 106psi for steel.arrow_forwardThe five-bolt connection shown must support an applied load of P = 330 kN. If the average shear stress in the bolts must be limited to 295 MPa, determine the minimum bolt diameter that may be used in the connection.arrow_forwardAn axial load of 100 kN is applied to a flat bar 20 mm thick, tapering in width from 120 mm to 40 mm in a length 0f 10 m. Assuming E=200 GPa, determine the total elongation of the bar.arrow_forward
- 1. A lever ABC is pinned at C and attached to a 12-mm diameter control cable AD. a. If the allowable tensile stress in the control cable is 140 MPa, what is the maximum safe value of the load P applied as shown in the diagram? b. What is then the shearing stress developed in the 20-mm diameter pin support at C? c. What is the bearing stress between the pin and the 25-mm thick support plates at C?arrow_forwardA steel rod is subjected to a gradually applied load (F) which gave a rise to a maximum stress of 200 MPa. The rod is 250 mm long and one part of its length is square and the remainder is circular with a diameter of 25 mm. If the total strain energy in the rod and modulus elasticity of the material is 1.3 J and 200 GPa, determine the following:1.The applied load F2.The total extension of the bar3.The length of the square portion of the bar4.The suddenly applied load that will induce the same amount of energy 5.The load that falls from a height of 8 mm induces 1,3 J in the bar.arrow_forwardA 75 mm diameter compound bar is constructed by shrinking a circularbrass bush onto the outside of a 45 mm diameter solid steel rod. If thecompound bar is then subjected to an axial compressive load of 170 kN,determine the load carried by the steel rod. The modulus of elasticity for steel,Es = 200 GN/m2 , and brass, Eb = 100 GN/m2arrow_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