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Factor of safety

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Addressing Unreviewed Safety Question Requirements" as a guide for determining how to identify and determine whether a margin of safety will be reduced by a proposed change. The guide develops and applies the concept of a qualitative margin of safety that may not be explicit or quantifiable, yet can be evaluated conceptually to determine whether an increase or decrease will occur with a proposed change. This approach becomes important when examining designs with large or undefined (historical) margins and those that depend on "soft" controls such as programmatic limits or requirements. The commercial U.S. nuclear industry utilized a similar concept in evaluating planned changes until 2001, when 10 CFR 50.59 was revised to capture and apply the information available in facility-specific risk analyses and other quantitative risk management tools.
343:). A margin of 0 would mean the part would pass with a safety factor of 3. If the margin is less than 0 in this definition, although the part will not necessarily fail, the design requirement has not been met. A convenience of this usage is that for all applications, a margin of 0 or higher is passing, one does not need to know application details or compare against requirements, just glancing at the margin calculation tells whether the design passes or not. This is helpful for oversight and reviewing on projects with various integrated components, as different components may have various design factors involved and the margin calculation helps prevent confusion. 236:) to describe the ratio of the strength of the structure to the requirements. There are two separate definitions for the margin of safety so care is needed to determine which is being used for a given application. One usage of M.S. is as a measure of capability like FoS. The other usage of M.S. is as a measure of satisfying design requirements (requirement verification). Margin of safety can be conceptualized (along with the reserve factor explained below) to represent how much of the structure's total capability is held "in reserve" during loading. 54:), expresses how much stronger a system is than it needs to be for an intended load. Safety factors are often calculated using detailed analysis because comprehensive testing is impractical on many projects, such as bridges and buildings, but the structure's ability to carry a load must be determined to a reasonable accuracy. Many systems are intentionally built much stronger than needed for normal usage to allow for emergency situations, unexpected loads, misuse, or degradation ( 443:
For a successful design, the realized safety factor must always equal or exceed the design safety factor so that the margin of safety is greater than or equal to zero. The margin of safety is sometimes, but infrequently, used as a percentage, i.e., a 0.50 M.S is equivalent to a 50% M.S. When a design
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The difference between the safety factor and design factor (design safety factor) is as follows: The safety factor, or yield stress, is how much the designed part actually will be able to withstand (first usage from above). The design factor, or working stress, is what the item is required to be able
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In some cases it is impractical or impossible for a part to meet the "standard" design factor. The penalties (mass or otherwise) for meeting the requirement would prevent the system from being viable (such as in the case of aircraft or spacecraft). In these cases, it is sometimes determined to allow
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In the field of nuclear safety (as implemented at U.S. government-owned facilities) the margin of safety has been defined as a quantity that may not be reduced without review by the controlling government office. The U.S. Department of Energy publishes DOE G 424.1-1, "Implementation Guide for Use in
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There are several ways to compare the factor of safety for structures. All the different calculations fundamentally measure the same thing: how much extra load beyond what is intended a structure will actually take (or be required to withstand). The difference between the methods is the way in which
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effects to which the product will be exposed in service; the consequences of engineering failure; and the cost of over-engineering the component to achieve that factor of safety . For example, components whose failure could result in substantial financial loss, serious injury, or death may use a
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M.S. as a measure of structural capability: This definition of margin of safety commonly seen in textbooks describes what additional load beyond the design load a part can withstand before failing. In effect, this is a measure of excess capability. If the margin is 0, the part will not take any
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The realized factor of safety must be greater than the required design factor of safety. However, between various industries and engineering groups usage is inconsistent and confusing; there are several definitions used. The cause of much confusion is that various reference books and standards
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uses generally lower design factors because the costs associated with structural weight are high (i.e. an aircraft with an overall safety factor of 5 would probably be too heavy to get off the ground). This low design factor is why aerospace parts and materials are subject to very stringent
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strength (the safety factor would equal the design factor). If there is a part with a required design factor of 3 and a margin of 1, the part would have a safety factor of 6 (capable of supporting two loads equal to its design factor of 3, supporting six times the design load before
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a component to meet a lower than normal safety factor, often referred to as "waiving" the requirement. Doing this often brings with it extra detailed analysis or quality control verifications to assure the part will perform as desired, as it will be loaded closer to its limits.
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additional load before it fails, if it is negative the part will fail before reaching its design load in service. If the margin is 1, it can withstand one additional load of equal force to the maximum load it was designed to support (i.e. twice the design load).
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use 3.5 to 4.0, automobiles use 3.0, and aircraft and spacecraft use 1.2 to 4.0 depending on the application and materials. Ductile, metallic materials tend to use the lower value while brittle materials use the higher values. The field of
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By this definition, a structure with an FOS of exactly 1 will support only the design load and no more. Any additional load will cause the structure to fail. A structure with an FOS of 2 will fail at twice the design load.
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and strict preventative maintenance schedules to help ensure reliability. A usually applied Safety Factor is 1.5, but for pressurized fuselage it is 2.0, and for main landing gear structures it is often 1.25.
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define the margin of safety including the design factor, in other words, the margin of safety is calculated after applying the design factor. In the case of a margin of 0, the part is at exactly the
649:(1698-1761) who was a French engineer working in hydraulics, mathematics, civil, and military engineering. The philosophical aspects of factors of safety were pursued by Doorn and Hansson. 359: 401: 122:
textbooks often refer to the "factor of safety" as the fraction of total structural capability over what is needed. Those are realized factors of safety (first use). Many undergraduate
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Buildings commonly use a factor of safety of 2.0 for each structural member. The value for buildings is relatively low because the loads are well understood and most structures are
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materials the yield and ultimate strengths are often so close as to be indistinguishable, so it is usually acceptable to only calculate the ultimate safety factor.
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the values are calculated and compared. Safety factor values can be thought of as a standardized way for comparing strength and reliability between systems.
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or policy) and is not an actual calculation, the safety factor is a ratio of maximum strength to intended load for the actual item that was designed.
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when choosing factor of safety. A cyclic load well below a material's yield strength can cause failure if it is repeated through enough cycles.
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to withstand (second usage). The design factor is defined for an application (generally provided in advance and often set by regulatory
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The ratio of a structure's absolute strength (structural capability) to actual applied load; this is a measure of the
597: 390:{\displaystyle {\text{Margin of safety}}={\frac {\text{failure load}}{\text{design load × design safety factor}}}-1} 444:
satisfies this test it is said to have a "positive margin", and, conversely, a "negative margin" when it does not.
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safety factor of four or higher (often ten). Non-critical components generally might have a design factor of two.
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of a particular design. This is a calculated value, and is sometimes referred to, for the sake of clarity, as a
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For loading that is cyclical, repetitive, or fluctuating, it is important to consider the possibility of
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Burr, A and Cheatham, J: Mechanical Design and Analysis, 2nd edition, section 5.2. Prentice-Hall, 1995.
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books use "Factor of Safety" as a constant value intended as a minimum target for design (second use).
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materials (e.g. most metals), it is often required that the factor of safety be checked against both
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the notion of factor of safety in engineering context was apparently first introduced in 1729 by
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La science des ingénieurs, dans la conduite des travaux de fortification et d'architecture civile
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The use of a factor of safety does not imply that an item, structure, or design is "safe". Many
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Elishakoff, I., Interrelation between safety factors and reliability, NASA/CR-2001-211309, 2001
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strengths. The yield calculation will determine the safety factor until the part starts to
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M.S. as a measure of requirement verification: Many agencies and organizations such as
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Doorn, N. and Hansson, S.O., Should probabilistic design replace safety factors?,
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Many government agencies and industries (such as aerospace) require the use of a
552: 563:. The ultimate calculation will determine the safety factor until failure. In 492:{\displaystyle {\text{RF}}={\frac {\text{proof strength}}{\text{proof load}}}} 922: 630: 160: 147: 111: 86: 839:
Space Systems - Structures, Structural Components, and Structural Assemblies
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Appropriate design factors are based on several considerations, such as the
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The applied loads have many factors, including factors of safety applied.
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agencies use the factor of safety definitions and terms differently.
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Structural Design and Test Factors for Spaceflight Hardware
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There are two definitions for the factor of safety (FoS):
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is the maximum load the part should ever see in service.
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Pages displaying short descriptions of redirect targets
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A measure of strength frequently used in Europe is the
506: 470: 404: 362: 292: 250: 173: 694: – When two probability distributions overlap 542: 527: 491: 431: 389: 314: 277: 194: 153: 920: 861:Safety factors and reliability: friends or foes? 802:, 2nd edition, section 5.2. Prentice-Hall, 1995. 667: – Design method in structural engineering 863:, Dordrecht: Kluwer Academic Publishers, 2004 815:, section 14.13, Page 295. McGraw-Hill, 1967. 673: – Discipline within engineering design 789:, Page 55. Holt, Reinhart, and Watson,1988. 81:A constant required value, imposed by law, 570: 745:Design of Below-the-Hook Lifting Devices 679: – Approach to business improvement 377:design load × design safety factor 921: 719:Roark's Formulas for Stress and Strain 677:Redundancy (total quality management) 16:System strength beyond intended load 913:Specification Development - 2nd Ed. 760:, second edition. McGraw-Hill,1992. 732:Standard Handbook of Machine Design 219: 13: 905: 14: 955: 885:, Paris: Chez Claude Jombert 1729 721:, 6th edition. McGraw-Hill, 1989. 598:failure mode and effects analysis 451: 888: 875: 866: 853: 844: 831: 734:, page 2-15. McGraw-Hill, 1986. 543:Yield and ultimate calculations 154:Design factor and safety factor 818: 805: 800:Mechanical Design and Analysis 792: 779: 763: 750: 737: 724: 711: 579:of predictions on the imposed 129: 21:Safety factor (plasma physics) 1: 352:is provided as a requirement. 61: 881:de Bélidor, Bernard Forest, 813:Stress, Strain, and Strength 7: 896:Philosophy & Technology 730:Shigley, J and Mischke, C: 698:Verification and validation 652: 10: 960: 841:, section 4.2. AIAA, 2005. 776:, Volume 1. Krieger, 1958. 747:, Section 1-5, ASME, 2005. 636: 18: 798:Burr, A and Cheatham, J: 647:Bernard Forest de Bélidor 416:realized factor of safety 103:required factor of safety 76:realized factor of safety 898:, 24(2), pp.151-16, 2011 828:, section 3. NASA, 2008. 756:Beer, F and Johnson, R: 704: 692:Statistical interference 19:Not to be confused with 571:Choosing design factors 99:design factor of safety 787:Mechanics of Materials 758:Mechanics of Materials 537: 529: 493: 441: 433: 391: 324: 316: 279: 213: 196: 120:mechanical engineering 774:Strength of Materials 659:Engineering tolerance 614:aerospace engineering 530: 494: 462: 434: 392: 345: 317: 280: 242: 197: 165: 124:strength of materials 671:Probabilistic design 504: 468: 419:design safety factor 402: 360: 350:design safety factor 290: 248: 171: 944:Structural analysis 587:estimates, and the 939:Engineering ratios 934:Safety engineering 915:, ISTE-Wiley, 2009 665:Limit state design 561:deform plastically 525: 489: 429: 387: 312: 275: 192: 144:engineering design 26:In engineering, a 523: 522: 519: 518:ultimate strength 510: 487: 486: 483: 474: 421: 420: 417: 408: 379: 378: 375: 366: 304: 296: 267: 266: 263: 254: 190: 189: 186: 177: 140:quality assurance 42:), also known as 951: 899: 892: 886: 879: 873: 870: 864: 859:Elishakoff, I. 857: 851: 848: 842: 835: 829: 822: 816: 809: 803: 796: 790: 783: 777: 767: 761: 754: 748: 741: 735: 728: 722: 715: 686:Sacrificial part 682: 609:Pressure vessels 534: 532: 531: 526: 524: 520: 517: 516: 511: 508: 498: 496: 495: 490: 488: 484: 481: 480: 475: 472: 438: 436: 435: 430: 422: 418: 415: 414: 409: 407:Margin of safety 406: 396: 394: 393: 388: 380: 376: 373: 372: 367: 365:Margin of safety 364: 321: 319: 318: 313: 305: 303:factor of safety 302: 297: 295:Margin of safety 294: 284: 282: 281: 276: 268: 264: 261: 260: 255: 253:Margin of safety 252: 226:margin of safety 220:Margin of safety 201: 199: 198: 193: 191: 187: 184: 183: 178: 176:Factor of safety 175: 44:margin of safety 28:factor of safety 959: 958: 954: 953: 952: 950: 949: 948: 919: 918: 908: 906:Further reading 903: 902: 893: 889: 880: 876: 871: 867: 858: 854: 849: 845: 836: 832: 824:NASA-STD-5001: 823: 819: 810: 806: 797: 793: 784: 780: 768: 764: 755: 751: 742: 738: 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Index

Safety factor (plasma physics)
reliability
reliability
standard
specification
custom
Building codes
structural
mechanical engineering
strength of materials
quality assurance
engineering design
manufacturing
building codes
NASA
AIAA
failure
ductile
yield
ultimate
deform plastically
brittle
accuracy
loads
wear
environmental
Risk analysis
failure mode and effects analysis
redundant
Pressure vessels

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