Concept explainers
Determine the maximum load P that can be applied to the brass bar of Prob. 2.55 if the allowable stress in the steel bars is 30 MPa and the allowable stress in the brass bar is 25 MPa.
2.55 Two steel bars (Es = 200 GPa and αs = 11.7 × 10-6/°C) are used to reinforce a brass bar (Eb = 105 GPa, αb = 20.9 × 10-6/°C) that is subjected to a load P = 25 kN. When the steel bars were fabricated, the distance between the centers of the holes that were to fit on the pins was made 0.5 mm smaller than the 2 m needed. The steel bars were then placed in an oven to increase their length so that they would just fit on the pins. Following fabrication, the temperature in the steel bars dropped back to room temperature. Determine (a) the increase in temperature that was required to fit the steel bars on the pins, (b) the stress in the brass bar after the load is applied to it.
Fig. P2.55
Want to see the full answer?
Check out a sample textbook solutionChapter 2 Solutions
EBK MECHANICS OF MATERIALS
- 1.2 A 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: 1.2.1 The stresses in the rod and tube 1.2.2 The load carried by the rod and that carried by the tube 1.2.3 The elongation of the compound rod.arrow_forwardThe rigid beam BC is supported by rods (1) and (2). The cross-sectional area of rod (1) is 11 mm². The cross-sectional area of rod (2) is 14 mm2. For a uniformly distributed load of w = 4.1 kN/m, determine the length a so that the normal stress is the same in each rod. Assume L = 5.35 m. A (1) (2) a L. Answer: a = i marrow_forwardRigid bar ABC supports a weight of W = 26 kN. Bar ABC is pinned at A and supported at B by rod (1), which has a circular cross section. If the normal stress in rod (1) must be limited to 110 MPa, determine the minimum diameter required for the rod. (1) B C 700 mm 350 mmarrow_forward
- 4. A steel rod of 3 cm diameter is enclosed centrally in a hollow copper tube of external diameter 5 cm and internal diameter of 4 cm. The composite bar is then subjected to an axial pull of 45 000 N. If the length of each bar is equal to 150 mm. Determine (i) The stress in the rod and tube (ii) Load carried by each bararrow_forwardThe rigid beam BC is supported by rods (1) and (2). The cross-sectional area of rod (1) is 9 mm². The cross-sectional area of rod (2) is 18 mm². For a uniformly distributed load of w = 2.3 kN/m, determine the length a so that the normal stress is the same in each rod. Assume L = 3.00 m. (1) B Answer: a = i L W a (2) marrow_forwardP- 45° 45° Fig. 2-38arrow_forward
- A 13-mm-diameter steel (E = 193 GPa) rod (2) is connected to a 27-mm-wide by 10-mm-thick rectangular aluminum (E = 72 GPa) bar (1), as shown. Assume L1 = 0.74 m and L2 = 1.38 m. Determine the force P (in kN rounded to the nearest tenths) required to stretch the assembly 8.1 mm. (1) L₁ B L2 C P ...arrow_forwardTwo solid cylindrical rods (1) and (2) are joined together at flange B and loaded as shown. The diameter of rod (1) is d₁ = 23 mm and the diameter of rod (2) is d2 = 34 mm. Determine the absolute value of the normal stress in rod (2). 80 KN d₁ 232 MPa 255 MPa 305 MPa O 160 MPa O 220 MPa 140 KN 140 KN Barrow_forwardAxial loads are applied to rigid bearing plates in a system of steel bars. The cross-sectional area of bar (2) is 1530 mm?. Determine the magnitude of the normal stress in bar (2). 125 kN 150 kN 150 kN (3) rigid bearing plates 75 kN (2) 75 kN 275 kN 275 kN (1)arrow_forward
- The rigid beam BC is supported by rods (1) and (2). The cross-sectional area of rod (1) is 10 mm2. The cross-sectional area of rod (2) is 19 mm2. For a uniformly distributed load of w = 3.5 kN/m, determine the length a so that the normal stress is the same in each rod. Assume L = 4.55 m.arrow_forwardTwo solid cylindrical rods (1) and (2) are joined together at flange B and loaded as shown. If F₁ = 21 kips, F₂ = 33 kips, and the normal stress in each rod must be limited to 29 ksi, determine the minimum diameter d₂ required for rod (2). d₁ (1) F₂ (2) 2.32 in. 2.50 in. 1.95 in. 2.68 in. 1.79 in. F₂ B C -d₂arrow_forward3. An axial pull of 35000 N is acting on a bar consisting of three lengths as shown below. If the Young's Modulus is 2.1 x 105 N/mm2. Determine (i) Stresses in each section, and; (ii) Total extension of the bar. Section 3 Section 2 Section 1 35000 N 35000 N 2 cm DIA 3 cm DIA 5 cm DIA k-20 cm- 25 cm -22 cm-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