\nAt the equilibrium condition, summation of all the forces and moments should be equal to zero.
\nMathematically:<\/strong>
![\"Equilibrium](\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/08\/equilibrium-condition.jpg\")
<\/li>\n\nThe structure at collapse must be capable of deforming as a mechanism due to the formation of plastic hinges or there must be a enough plastic hinges that a mechanism is obtained.<\/li>\n
\nThe bending moment at any section must not exceed the full plastic moment \u2018MP<\/sub>\u2019 of the section.<\/li>\n<\/ul>\n
THEOREM OF PLASTIC ANALYSIS<\/h3>\n\n- Generally, it is not possible to satisfy all the three conditions of plastic analysis in one operation.<\/li>\n
- Solution on the basis of assumed mechanism yields a load-carrying capacity that is either correct or too high while a solution on the basis of a statical moment diagram not violating the plastic moment condition is either correct or too low.<\/li>\n
- Therefore, depending on the method adopted, one obtains either an upper limit below which the correct answer lies or a lower limit above which the correct answer will lie.<\/li>\n<\/ul>\n
ADVANTAGES & DISADVANTAGES OF PLASTIC DESIGN OVER ELASTIC DESIGN<\/h3>\n
Advantages<\/strong>
\n(a) It is more economical as it makes full use of the material strength beyond the elastic limit.
\n(b) The design procedures are much simpler and rational in case of plastic method.<\/p>\nDisadvantages
\n<\/strong>(a) The fabrication is to be done with ductile steel.
\n(b) The loads are carried by bending and the effects of axial load and shear force on a member are neglected. The theory of simple plastic analysis cannot be applied to trusses, as the members are subjected to axial forces only.
\n(c) Strength is assumed to be the main criteria.
\n(d) It is very difficult to obtain the collapse mode if the structure is reasonably complicated.
\n(e) There is little savings in column design.
\n(f) It is difficult to design for fatigue.
\n(g) Lateral bracing requirements are more stringent than the elastic design.
\n<\/strong><\/p>\nCOLLAPSE LOAD OF SOME STANDARD CASES<\/h3>\n
1. Concentrated Load of Standard Cases
\n<\/strong>
\n(i) Concentrated Load at Centre<\/strong><\/p>\n![\"Supported](\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/08\/supported-beam.jpg\")
<\/p>\n
(ii) Eccentric Load<\/strong><\/p>\n![\"Fixed](\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/08\/fixed-beam.jpg\")
\n![\"Static](\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/08\/static-method.jpg\")
<\/p>\n
(iii) Uniformly Load distributed<\/strong><\/p>\n![\"Fixed](\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/08\/fixed-beam-1.jpg\")
\n![\"Kinematic](\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/08\/kinematic-method.jpg\")
<\/p>\n
(iv) Concentrated Load<\/strong><\/p>\n![\"Static](\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/08\/static-method-1.jpg\")
<\/p>\n
Collapse loads of some standard arrangements:<\/strong><\/p>\n![\"Standard](\"https:\/\/study.madeeasy.in\/wp-content\/uploads\/2024\/08\/standard-arrangements.jpg\")
<\/p>\n
<< Previous<\/a> | Next >><\/a>
\n Must Read: <\/strong> What is Power Electronics?<\/strong><\/a><\/p>\n <\/p>\n","protected":false},"excerpt":{"rendered":"
When a structure is subjected to a system of loads, it is stable and functional until a sufficient number of<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[861,2],"tags":[914,913,911,915,912],"class_list":["post-3248","post","type-post","status-publish","format-standard","hentry","category-design-of-steel-structures","category-ce","tag-concentrated-load","tag-eccentric-load","tag-equilibrium-condition","tag-static-method","tag-supported-beam"],"_links":{"self":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts\/3248","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/comments?post=3248"}],"version-history":[{"count":0,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts\/3248\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/media?parent=3248"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/categories?post=3248"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/tags?post=3248"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
ADVANTAGES & DISADVANTAGES OF PLASTIC DESIGN OVER ELASTIC DESIGN<\/h3>\n
Advantages<\/strong> Disadvantages 1. Concentrated Load of Standard Cases (ii) Eccentric Load<\/strong><\/p>\n (iii) Uniformly Load distributed<\/strong><\/p>\n (iv) Concentrated Load<\/strong><\/p>\n Collapse loads of some standard arrangements:<\/strong><\/p>\n << Previous<\/a> | Next >><\/a> <\/p>\n","protected":false},"excerpt":{"rendered":" When a structure is subjected to a system of loads, it is stable and functional until a sufficient number of<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[861,2],"tags":[914,913,911,915,912],"class_list":["post-3248","post","type-post","status-publish","format-standard","hentry","category-design-of-steel-structures","category-ce","tag-concentrated-load","tag-eccentric-load","tag-equilibrium-condition","tag-static-method","tag-supported-beam"],"_links":{"self":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts\/3248","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/comments?post=3248"}],"version-history":[{"count":0,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/posts\/3248\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/media?parent=3248"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/categories?post=3248"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.madeeasy.in\/study\/wp-json\/wp\/v2\/tags?post=3248"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
\n(a) It is more economical as it makes full use of the material strength beyond the elastic limit.
\n(b) The design procedures are much simpler and rational in case of plastic method.<\/p>\n
\n<\/strong>(a) The fabrication is to be done with ductile steel.
\n(b) The loads are carried by bending and the effects of axial load and shear force on a member are neglected. The theory of simple plastic analysis cannot be applied to trusses, as the members are subjected to axial forces only.
\n(c) Strength is assumed to be the main criteria.
\n(d) It is very difficult to obtain the collapse mode if the structure is reasonably complicated.
\n(e) There is little savings in column design.
\n(f) It is difficult to design for fatigue.
\n(g) Lateral bracing requirements are more stringent than the elastic design.
\n<\/strong><\/p>\nCOLLAPSE LOAD OF SOME STANDARD CASES<\/h3>\n
\n<\/strong>
\n(i) Concentrated Load at Centre<\/strong><\/p>\n<\/p>\n
\n<\/p>\n
\n<\/p>\n<\/p>\n<\/p>\n
\n Must Read: <\/strong> What is Power Electronics?<\/strong><\/a><\/p>\n