Problem 2 GIVEN: The rectangular bar, h = 3-mm thickness, shown is loaded axially with constant force F = 12 kN. The bar material, steel AISI 1040, has been quenched and tempered at 650 deg C to raise its strength, but as a consequence it has lost most of its ductility. The bar has 2 widths, w1 = 35 mm and w2 = 30, with a 1 mm rad fillet transition. Curent design requires drilling a hole through the center of the w1-mm face of the plate to allow a cable to pass through it. Two different hole sizes are being considered, 10 mm and 5 mm. 1 mm rad w1 w2 F REQUIRED: Determine the factor of safety for the different locations below to determine where might be the most critical location. (a) At the larger hole (b) At the smaller hole (c) At the fillet

Problem 2 GIVEN: The rectangular bar, h = 3-mm thickness, shown is loaded axially with constant force F = 12 kN. The bar material, steel AISI 1040, has been quenched and tempered at 650 deg C to raise its strength, but as a consequence it has lost most of its ductility. The bar has 2 widths, w1 = 35 mm and w2 = 30, with a 1 mm rad fillet transition. Curent design requires drilling a hole through the center of the w1-mm face of the plate to allow a cable to pass through it. Two different hole sizes are being considered, 10 mm and 5 mm. 1 mm rad w1 w2 F REQUIRED: Determine the factor of safety for the different locations below to determine where might be the most critical location. (a) At the larger hole (b) At the smaller hole (c) At the fillet

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.3.19P: Repeat Problem 2.3-18, but assume that the bar is made of copper alloy. Calculate the displacements...

See similar textbooks

Similar questions

Repeat Problem 2.3-18, but assume that the bar is made of copper alloy. Calculate the displacements SBand Scif P = 50 kips, L = 5 ft = 3/5 in., b1= 2.75 in., b2= 3 in., and E = 16,000 ksi.
Q-2 A portion of the stress–strain curve for a stainless steel alloy is shown in Figure Q-2. A 550 mm long bar is loaded in tension until it elongates 4.4 mm, and then the load is removed. (a) Determine the permanent set in the bar. (b) Determine the length of the unloaded bar. (c) If the bar is reloaded, determine the proportional limit. [Use the figure to make necessary drawings/markings to show your solution strategy!
5. This problem illustrate that the factor of safety for a machine element depends on the particular point selected for analysis. Compute factors of safety, based upon the distortion energy theory, for stress elements A and B of the member shown in the figure. This bar is made of AISI 1015 Cold-Drawn Steel and is loaded by the forces F= 500 N, P = 5000 N, and T=25 Nm. points) %3D %3D -100 mm 15-mm D.
Q2/ A steel bolt 0.005 m² in cross-section is subjected to a Static mean load of load of 200KN. What Value of Completely reversed direct fatigue load will Produce failure in 10² Cycles? Use the GERBER relationsip and assume that the Yield sureg. Strength of the steel is 400 MN/M² and the Stress required to produce. failure at 107 Cycles under Zero mean stress Condition is 300 MN/m².
PROBLEM 2A tri metallic bar is uniformly compressed by an axial force P=12kN applied through a rigid end plate. The bar consists of a circular steel core surrounded by brass and copper tubes. The steel core has a diameter 10mm, the brass tube has an oute diameter of 15mm and the copper tube has an outer diameter of 20mm. E for steel =210Gpa, E for brass =100GPa and E for copper is 120GPa. Calculate the compressive stress of each metal due to force P.
An automobile engine has a valve spring is to be made of Fe, C, & Mn, to be oil-tempered, & to be designed that should not exceed to a cylindrical space of 134-in in diameter. The spring index should be 6.0, the coil-to-coil distance of 0.33in, & the maximum load it will sustain is 100lb with the corresponding compression of ½/2-in. The spring is subjected to repeated loading & fatigue must be considered by a factor of safety of 2.25. Determine: (a) the diameter of wire based on commercial sizes; (b) the total number of coils; (c) the free length of the spring. Sample image of valve spring in an assembly.
6.3 Evaluate the stiffness matrix for the elements shown in Figure P6-3. The coordinates are in units of inches. Assume plane stress conditions. Let E = 10 × 106 psi, v = 0.25, and thickness t = 1 in. Figure P6-3 3 (0, 1) (0, -1) 2 (2,0) (a) (1.2. 1) (1.2, 0) (b) (2.4, 0) 2 x 3 (0, 1) 1 (0, 0) (c) (2,0)
4. Determine the design stress for bolts in a cylinder cover where the load is fluctuating due to gas pressure. The maximum load on the bolt is 50 kN and the minimum is 30 kN. The load is unpredict- able and factor of safety is 3. The surface of the bolt is hot rolled and the suface finish factor is 0.9. During a simple tension test and rotating beam test on ductile materials (40 C 8 steel annealed), the following results were obtained : Diameter of specimen =12.5 mm; Yield strength= 240 MPa; Ultimate strength= 450 MPa; Endurance limit = 180 MPa. [Ans. 65.4 MPa]
Problem- A round bar made of medium carbon steel is under a cyclic axial load between Pmax = 12 kN and Pmin = 2 kN. Determine the following parameters, assuming that the diameter of the shaft is 4 mm: (a) Amplitude and mean value of the force. (b) Amplitude and mean value of the resulting stress. (c) What is the R value for this loading condition?
Find the equivalent stresses at Points 1 and 2 of the element with given geometry and loading conditions according to the Maximum shear stress hypothesis and the Maximum strain energy hypothesis. Shaft diameter: 20 mm, Shaft Length 120 mm, F1 = 750N, F2 = 3000N, Mb = 2400 N.mm. Steel if St37 and Safety coefficient is 2 If taken, will this stick work safely under these operating conditions? (Yield of given steel Strength 225 Mpa, Tensile strength 370 Mpa)
Carbon Steel L=100mm dsmall= 20mm moment of inertia ratio between stepped cross-sectional area = 1:2 F=2500 N at A and a fillet radius at the step of 2mm -loading cycles that the design can withstand before fatigue failure - calculate cycles using goodman line and max stress from static analysis. -determine the effect of the 2mm fillet ratio on the fatigue analyisis. constant force at A
The pin-connectsed structure consists of a rigid bar ABCD and two bronze alloy [E = 100 GPa] bares, each with a cross-sectional area of 340 mm2. bar (1) has a length L1 = 810 mm and bar (2) has a lenght L2 = 1080 mm. Assume dimensions of a = 480mm, b = 38mm, and c = 600mm. If the allowable normal stress in bars (1) and (2) must be limmited to 165 MPa each, determine: a) the maximum load P that may be applied at D to the rigid bar. b) The deflection at D for the load determined in part (a).