Pdf numerical analysis of stress concentration factors. Stress concentration factors charts and relations useful in making strength calculations for machine parts and structural elements by rudolph earl peterson. Petersons stress concentration factors establishes and. A stress concentration factor kt is a dimensionless factor that is used to quantify how concentrated the stress is in a material. The stress concentration factor for isotropic materials, such as metals and plastics, is determined using the procedure described in 18. Roarks formulas for stress and strain, 8th edition. Click download or read online button to get stress concentration at notches book now. Petersons stress concentration factors, third edition researchgate. Stress concentration 20022014 darrell socie, all rights reserved 1 of 63 outline 1. Petersons stress concentration factors, 3rd edition pdf free. The stress concentration factor will be capital k, lower case or subscript f, so kf, and thats your stress concentration factor for fatigue.
The stress concentration factor is defined as the ratio of highest stress in the body to the reference stress. A good analogy for stress concentrations is a river. A stress concentration also called a stress raiser or a stress riser is a location in an object where the stress is significantly greater than the surrounding region. The situation is somewhat different with anisotropic materials, such as fibrepolymer composites, because the stress concentration factor is dependent on the elastic modulus in different directions. Stress concentration factor defined in this fashion is called k n. Stress concentrations are deviations from the nominal stress on a part.
This site is like a library, use search box in the widget to get ebook that you want. Figure 7 illustrates the stress concentration factor for path 1, and the mises stress concentration factor is approximately flat in the middle and increases or decreases close to the edges in the softer and harder components, respectively. The stress concentration factor for a circular hole in an infinite plate. What is stress concentration definition, causes, effects. Stress concentration article about stress concentration. Substantially revised and completely updated, this book presents stress concentration factors both graphically and with formulas. Petersons stress concentration factors is a reference book for engineers and students concerned with increasing stresses at the intersection of changing.
The formula is rationally derived to include all of the parameters that are required to define the various penetration configurations used in. Download citation petersons stress concentration factors, second edition this. The factor which talks about how intense the magnitude of stress is concentrated in a certain region is the stress concentration. In petersons stress concentration factors, second edition by pilkey, a value of 2. Petersons stress concentration factors, 3rd edition wiley. Numerical analysis of stress concentration factors in order to verify the accuracy of the alfak soft ware, analysis of stress concentration factor was performed using numerical analysis in catia. T d a t d the maximum stress occurs on the inside of the hole, slightly below the shaft surface. Index to the stress concentration factors xvii preface for the third edition xxxiii preface for the second edition xxxv 1 definitions and design relations 1 1. Approximate stressconcentration factors kts for a round bar or tube having a transverse round hole and loaded in torsion source.
Structures and materials section 7 stress concentration. A stressconcentration factor is then applied to the data of box 3 and combined with the palmgrenminer damage rule and a material sn curve to yield the annual cumulative damage, d, and fatigue life of 1d years. Three definitive sources for calculation methods of splines. This book establishes and maintains a system of data classification for all the applications of stress and strain analysis, and expedites their synthesis into cad applications. T are not related to the properties of the material but rather depend on the type of stress concentrator, on its sharpness, absolute size, and size relative to the specimen. For a notch sensitivity ratio of 1, the full stress concentration factor is used. Petersons stress concentration factors 3rd edition knovel. L if notch sensitivity data is not available, it is conservative to use kt in fatigue calculations. Stress concentration factors 1974 edition open library. Stress concentration free spline for high torque twin screw power transmission joe mattingly, steeramerica inc. Stress concentration caused by sudden change in form a change in the geometric shape of a part gives rise to additional stress over and above the calculated stress, which is known as stress concentration. Petersons stress concentration factors wiley online books. This abrupt change can cause a higher stress or a lower stress by a certain factor in comparison to the nominal stress.
General basis 2 din 54662 splined joints calculation of load capacity part 2. The hot spot is the location in the tubular joint where the maximum applied tensile stress occurs. Petersons stress concentration factors edition 3 by. Pilkey, 9780470048245, available at book depository with free delivery worldwide.
This irregular stress distribution occurs due to the different crosssections, the presence of sharp corners, sharp edges, notches or holes, keyways, scratches. The crack initiation life is highly dependent on the k tvalue. Stress concentration occurs due to the irregular stress distribution. It is defined as the ratio of the highest stress in the element to the reference stress. The book explains how to optimize shape to circumvent stress concentration problems and how to achieve a wellbalanced design of structures and machines that. Charts of theoretical stressconcentration factors k. The bible of stress concentration factorsupdated to reflect todays advances in stress analysis. Mechanical engineers reference book twelfth edition, 1994. Determination of local stress histories was made by recording local strain histories during cycling and reproducing these histories in simple unnotched specimens. Stress concentration project gutenberg selfpublishing. Stress concentration caused by sudden change in form.
A formula is developed to predict the peak stress concentration factor scf for analysis andor design in conjunction with the asme boiler and pressure vessel code, section viii, divisions 1 and 2. For static loading, you need to look at how is the material behaving in your operating conditions. A stress concentration factor is the ratio of the highest stress smax to a reference stress s of the gross crosssection. Stress concentrations around notches were considered in chapter 3 with the stress concentration factor k t as an important parameter for characterizing the severity of the stress distribution around the notch. Petersons stress concentration factors, second edition. Note that the stress concentration factor is a function of the geometry of a crack, and not of its size. The stress concentration factor scf is as multiplier applied to the nominal stress to reach the peak or maximum stress at the hot spot location. The notches are causing an inhomogeneous stress distribution, see figure 3. Note that the stress concentration factor is a function. This new edition of the book has been substantially revised and completely updated and presents stress concentration factors both graphically and with formulas. Petersons stress concentration factors book depository. The theoretical stress concentration factor, k t, 6 is defined as the ratio between the peak stress at the root of the notch and the nominal stress which would be present if a stress concentration did not. The applied loads were cycled in edgenotched 2024t3 aluminumalloy sheet specimens, which had a stressconcentration factor of 2, until local stress conditions stabilized. Stress concentrations occur when there are irregularities in the geometry or material of a structural component that.
A measure of stress concentration is the stress concentration factor. World heritage encyclopedia, the aggregation of the largest online encyclopedias. What causes a stress concentration is an abrupt change in the flow of stress through a part. Peterson, stressconcentration factors, wiley, new york, 1974, pp. Stress concentration near a circular hole stresses at the edge of the hole at x a. Fatigue stress concentration factors lkf is normally used in fatigue calculations but is sometimes used with static stresses.
Stress concentration factor an overview sciencedirect. Petersons stress concentration factors by walter d. Finite element analysisbased approach for stress concentration. A stress concentration factor is the ratio of the highest stress s max to a reference stress s of the gross crosssection.
The present book contains some recently developed stress concentration factors, as well as most of the charts from the previous editions. Corrosionpedia what is a stress concentration factor kt. An object is more strong when it does not have any flaw, that is no sharp turns, no cracks and no holes. The value of the stress concentration factor is calculated by. The definitive work on stress concentration, revised and updated this second edition features the most comprehensive reference of stress concentration factors.
L convenient to think of kf as a stress concentration factor reduced from kt because of lessened sensitivity to notches. The crack initiation period is followed by the fatigue crack growth period, recall figure 2. Section 7 stress concentration stress concentrations produced by discontinuities in structures such as holes, notches, and fillets will be introduced in this section. Stress and strain concentration factors of welded multiplanar tubular joints by romeijn, arie and a great selection of related books, art and collectibles available now at. Proceedings of fatigue, durability and fracture mechanics. Reference stress is the total stress within an element under the same loading conditions without the stress concentrators. Stress concentration at notches download ebook pdf, epub. Petersons stress concentration factors establishes and maintains a system of data classification for all of the applications of stress and strain analysis and expedites their synthesis into cad applications. Structures and materials section 7 stress concentration 1.
Approximate stressconcentration factor kt for bending of a round bar or tube with a transverse round hole source. Pdf stress concentration factors download ebook for free. Petersons stress concentration factors by zhuming bi, 9781119532514, available at book depository with free delivery worldwide. The stress concentration factor calculators presented in this section calculate. Until now, the stress concentration factor for various isotropic structures is. As the radius of curvature approaches zero, the maximum stress approaches infinity. Stress concentration factor is defined the ratio of the maximum stress.