2. The Goodman diagram relates oa and om for fatigue failure after a specific numberof cycles N₁, where da is the cyclic stress amplitude, and on the mean stress. For asteel specimen it is found that a = a (0). [1- (om/OTS)] where GTS is the metal's tensilestress (375MPa), and oa (0)~0.450TS is the 107 cycle fatigue limit at zero mean stress.Assuming the specimen is cycled repeatedly between 0 stress and a peak stress, whatis the maximum peak stress if failure in < 107 cycles is to be avoided?Ans: 233 MPa

Given, Fatigue strength under zero mean stress , σa(0) = 0.45 σTS Tensile strength, σTS = 375…

2. The Goodman diagram relates oa and om for fatigue failure after a specific number of cycles N₁, where da is the cyclic stress amplitude, and on the mean stress. For a steel specimen it is found that oa oa (0). [1- (om/OTS)] where Ors is the metal's tensile stress (375MPa), and a (0)~0.450Ts is the 107 cycle fatigue limit at zero mean stress. Assuming the specimen is cycled repeatedly between 0 stress and a peak stress, what is the maximum peak stress if failure in < 107 cycles is to be avoided? Ans: 233 MPa

2. The Goodman diagram relates oa and om for fatigue failure after a specific number of cycles N₁, where da is the cyclic stress amplitude, and on the mean stress. For a steel specimen it is found that oa oa (0). [1- (om/OTS)] where Ors is the metal's tensile stress (375MPa), and a (0)~0.450Ts is the 107 cycle fatigue limit at zero mean stress. Assuming the specimen is cycled repeatedly between 0 stress and a peak stress, what is the maximum peak stress if failure in < 107 cycles is to be avoided? Ans: 233 MPa

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 760 mm. The cross-sectional dimensions of the beam are b1 = 33 mm, d1 = 110 mm, b2 = 20 mm, d2 = 20 mm, and a = 6.5 mm. For this material, the allowable tensile bending stress is 11 MPa, and the allowable compressive bending stress is 12 MPa. Determine the largest moment M that can be applied as shown to the beam.
The Brinell's hardness number (B.H.N.) is expressed as P (b) TD TD D-VD²-a² D+VD² -d² (c) (d) P TD D-VD? -d? TD D+\D² - d² where, P= Test force (M), D = Diameter of steel ball (mm), d = Mean diameter of the indent (mm) %3D %3D
If the material is graphite for which Eg = 800 ksi and vg = 0.23, determine the principal strains.
1 It is the ratio of ultimate tensile stress to the permissible stress. Plastic Shear Plastic limit Proportional limit Factor of safety Poisson's ratio
An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 680 mm. The cross-sectional dimensions of the beam are b, = 36 mm, d1 = 95 mm, b2 = 22 mm, d2 = 22 mm, and a = 7 mm. For this material, the allowable tensile bending stress is 11 MPa, and the allowable compressive bending stress is 13 MPa. Determine the largest moment M that can be applied as shown to the beam. b2 M d2 d1 |A В b1 Answer: M = N-m
If the material is machine steel having a yield stress of sY = 500 MPa, determine the factor of safety with respect to yielding if the maximum shear stress theory is considered.
At room temperature (20°C) a 0.7-mm gap exists between the ends of the rods shown. At a later time when the temperature has reached 150°C, determine: (a.)The normal stress in the aluminum rod, (b.) The change in length of the aluminum rod. 0.7 mm 300 mm A Aluminum A =2,000 mm² E= 75 GPa α = 23 x 106/°C 250 mm B Stainless steel A = 800 mm² E = 190 GPa a = 17.3 x 10-6/°C
At an axial load of 20 kN, a 45-mm-wide by 10-mm-thick polyimide polymer bar elongates 3.3 mm while the bar width contracts 0.21 mm. The bar is 240 mm long. At the 20-kN load, the stress in the polymer bar is less than its proportional limit. Determine (a) the modulus of elasticity. (b) Poisson's ratio. (c) the change in the bar thickness. Answers: (a) E= (b) v = (c) Athickness= i i i GPa mm
During a creep test (constant stress equal to 3.5 MPa) a material has an initial strain of 10 and a strain of 2 x 10* after 30 days. The same material was also submitted to a relaxation test (constant strain equal to 1.5 x 104). During the relaxation test, determine the stress after 30 days. Assume that the material follows the Maxwell model. 4 X
An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 580 mm. The cross-sectional dimensions of the beam are b1 = 33 mm, d1 = 112 mm, b2 = 20 mm, d2 = 20 mm, and a = 6.5 mm. For this material, the allowable tensile bending stress is 15 MPa, and the allowable compressive bending stress is 13 MPa. Determine the largest moment M that can be applied as shown to the beam. b2 a a M d2 A B bị
At a point on the surface of a plane stressed region, measured strains reduced to the following: E=+900µ, ɛ,=-100µ, and yy=+400µ. The material on which strains were measured has the following properties: E=210 GPa and v=0.3. Determine the stresses, Ox, Oy, and tyy at the point. Note: u means micro radian or lx10-6 rad. Use biaxial stresses formulas and use txy=Gyxy:
2.27. The stress components at a given point in an engineering component are es- timated to be oxy=4.1 ksi, ơyy=0 ksi, ơz =0.9 ksi, ory =-3.1ksi, ơyz = 1.2 ksi, Ozx =0 ksi. Estimate the factor of safety against yielding using von Mises' theory if the uniaxial yield stress of the material is Sy =17.2 ksi.