Kirişlerde Sehim-Eğim-Moment Denklemleri

Geçenlerde hızlıca bir kiriş moment ve sehim hesabı yapmamız gerekti. Euler-Bernoulli kiriş teorisinden denklemi tekrar elde edecek vakit de yok idi. İnternette kiriş formülleri de düzenli olmayınca bu sayfayı yazmaya karar verdik. Bütün burada yazacağımız kiriş denklemleri şu formüle dayanmaktadır.

Euler-Bernoulli Kiriş Teorisi:

Euler-Bernoulli_equation

Burada her birim uzunluğa etki eden yüktür. Δ ise x konumunda y eksenindeki sehimdir. E elastisite modülü ve I ise alan kesitin merkezinden geçen ve etki eden yüke dik olarak atalet momenti (ikinci alan momenti)'dir.

Simple Beam - Uniformly Distributed Load - Load Increasing Uniformly to One End - Load Increasing Uniformly to Center Simple Beam - Uniformly Load Partially Distributed - Uniform Load Partially Distributed At One End - Uniform Load Partially Distributed at Each End Simple Beam - Concentrated Load at Center - Concentrated Load at Any Point - Two Equal Concentrated Loads Symmetrically Placed Simple Beam - Two Equal Concentrated Loads Unsymmetrically Placed - Two Unequal Concentrated Loads Unsymmetrically Placed - Beam Fixed At One End, Supported at Other, Uniformly Distributed Load Beam Fixed at Both Ends - Uniformly Distributed Loads - Concentrated Load at Center - Concentrated Load at Any Point Cantilever Beam - Load Increasing Uniformly to Fixed End - Uniformly Distributed Load, Beam Fixed at One End, Free to Declect Vertically But Not Rotate at Other, Uniformly Distributed Load Cantilever Beam - Concentrated Load At Any Point - Concentrated Load at Free End - Beam Fixed At One End, Free to Deflect Vertically But Not Rotate at Other, Concentrated Load At Deflected End Beam Overhanging One Support - Uniformly Distributed Load - Uniformly Distributed Load On Overhang Continuous Beam, Two Equal Spans - Uniform Load on One Span - Concentrated Load at Center of One Span - Concentrated Load at Any Point Beam - Uniformly Distributed Load and Variable End Moments - Concentrated Load at Center and Variable End Moments Continuous Beam, Three Equal Spans - One End Span Unloaded - End Spans Loaded - All Spans Loaded Continuous Beam, Four Equal Spans - Third Span Unloaded - Load First and Third Spans - All Spans Loaded