The plate of the figure is subjected to a bending moment with irregular cycles, which are repeated. In the graphic one of this cycles is represented in terms of stress which appears in each section whose height is h. The piece is made of ductile steel. Determine the number of repetitions of the sequence which the piece can resist before the failure takes place due to fatigue considering a reliability of 95 %. Data: Sult = 1.000 MPa Syp = 800 Mpa thickness e = 4 mm H= 10 cm h = 5 cm r= 1 cm ka = 0,72 kp = 0,95 S(MPa) M 400 H 300 200 100 time -100 -200

The plate of the figure is subjected to a bending moment with irregular cycles, which are repeated. In the graphic one of this cycles is represented in terms of stress which appears in each section whose height is h. The piece is made of ductile steel. Determine the number of repetitions of the sequence which the piece can resist before the failure takes place due to fatigue considering a reliability of 95 %. Data: Sult = 1.000 MPa Syp = 800 Mpa thickness e = 4 mm H= 10 cm h = 5 cm r= 1 cm ka = 0,72 kp = 0,95 S(MPa) M 400 H 300 200 100 time -100 -200

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.5.4P: The strength-to-weight ratio of a structural material is defined as its load-carrying capacity...

See similar textbooks

Similar questions

Three round, copper alloy bars having the same length L but different shapes are shown, in the figure. The first bar has a diameter d over its entire length, the second has a diameter d over one-fifth of its length, and the third has a diameter d over one-fifteenth of its length. Elsewhere, the second and third bars have a diameter Id. All three bars are subjected to the same axial load P. Use the following numerical data: P = 1400 kN, L = 5m,d= 80 mm, E= 110 GPa. and v = 0.33. (a) Find the change in length of each bar. (b) Find the change in volume of each bar.
Solve the preceding problem if the thickness of the steel plate is. t = 12 mm. the gage readings are x = 530 × 10-6 (elongation) and y = -210 -× l0-6 (shortening), the modulus is E = 200 GPa, and Poisson’s ratio is v = 0.30.
The strength-to-weight ratio of a structural material is defined as its load-carrying capacity divided by its weight. For materials in tension, use a characteristic tensile stress obtained from a stress-strain curve as a measure of strength. For instance, either the yield stress or the ultimate stress could be used, depending upon the particular application. Thus, the strength-to-weight ratio RS/Wfor a material in tension is defined as Rs/w= in which a is the characteristic stress and 7 is the weight density. Note that the ratio has units of length. Using the ultimate stress Uas the strength parameter, calculate the strength-to-weight ratio (in units of meters) for each of the following materials: aluminum alloy 606I-T6, Douglas fir (in bending}, nylon. structural steel ASTM-A57.2, and a titanium alloy. Obtain the material properties from Tables [-1 and 1-3 of Appendix I. When a range of values is given in a table, use the average value.
pls find box ur answer Determine the value of the von Mises stress at point A. The von Mises stress at point A is This problem illustrates that the factor of safety for a machine element depends on the particular point selected for analysis. Here you are to compute factors of safety, based upon the distortion-energy theory, for stress elements at A and B of the member shown in the figure. This bar is made of AISI 1006 cold- drawn steel and is loaded by the forces F= 0.55 kN, P = 4 kN, and T = 25 N-m. Given: Sy= 280 MPa. 5 15-mm D. 100 mm- 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
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.
A strain gauge mounted at a potentially critical point in a steel part has recorded the stress history shown below during 20 seconds of typical use. Identical parts have been fatigue tested under constant amplitude loading with R = -1 to give an endurance limit of 60 ksi and a fatigue strength of 140 ksi at N = 1000 cycles. The steel used has an ultimate strength of 165 ksi. Estimate the fatigue life of the part under typical use. How much will the fatigue life in problem 3 (above) be reduced if a mean stress of 10 ksi is added to the stress history given?
What is the design stress in psi of an ASTM A313, gage number 8 spring wire. The type of application requires a factor of 0.34 for the type of service. Round your answer to 4 significant figures.
The fluctuating stresses listed in the table are found at a critical location of a component made of steel with Se = 40 ksi, Sy = 80 ksi, Sut = 110 ksi and f= 0.87. These stresses are applied on the part within 10 s. What is the accumulative damage of this part? What is the life of the part in hours if this stress pattern continues to repeat for the remained of the part's life? Use Goodman criterion and Miner's rule in your solution. Loading order |Omin o max |Number of cycles -20 30 -10 50 1 3. -30 30 1
A cylindrical 1045 steel bar is subjected to repeated compression-tension stress cycling along its axis. If the load amplitude is 23,000 N, calculate the minimum allowable bar diameter (in mm) to ensure that fatigue failure will not occur. Assume a factor of safety of 2.0. O A. 13.7 mm O B. 9.72 mm O C. 19.4 mm O D. 17.4 mm
Required Information For a bar of AISI 1015 cold-drawn steel, determine the factor of safety using the distortion-energy and maximum-shear- stress theories for the following principal stresses. A = 28 kpsl, and og = 15.5 kpsi The factor of safety from the maximum-shear-stress theory is 1.94 1.88 and the factor of safety from distortion-energy theory is
Solve this problem in theory of failure A 60mm diameter bar has been machined from 1050 hot rolled steel at 600C. The bar will besubjected to a fluctuating tensile load varying from 100 to 500kN. Calculate the fatigue factor of safetyaccording to the Modified Goodman fatigue criterion, ASME elliptical, Soderberg and Gerber FatigueCriterion use Sut=620 MPa and Sy=570 Mpa. Indicate assumptions made.