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https://www.eng-tips.com/viewthread.cfm?qid=298248
Dec 29, 2011 · Discontinuous end unrestrained - The sketch shows member bearing on a wall with a clear separation shown between the supported member and the supporting member to illustrate simple support. Discontinuous end integral with support - The sketch shows member continuous with the support.
http://asee-ne.org/conferences/aseene/2013/index.php/aseene/aseene2013/paper/viewFile/226/28
The significant difference is solely dependent on the fixed end. The support’s ability to transfer moment reduces the positive moment the span takes. This is reflected in the moment coefficients, by having the discontinuous end integral with support produce a smaller positive moment then the unrestrained when calculated.Author: Thomas Michael Iannelli, Brian Swartz
https://www.globalspec.com/reference/55851/203279/CONTINUOUS-BEAMS-AND-ONE-WAY-SLABS
Negative moment at face of all supports for ( a) slabs with spans not exceeding 10 ft (3 m) and ( b) beams and girders where the ratio of sum of column stiffness to beam stiffness exceeds 8 at each end of the span Negative moment at interior faces of exterior supports, for members built integrally with their supports.
https://math.stackexchange.com/questions/2347185/riemann-integration-involving-functions-that-are-discontinuous-at-end-points
It would not bother us if the two rectangles were there or not( in the case of discontinuities ). So, the Riemann Integral would give us the same result as it would if the function were undefined at the end points. In summary, the Riemann integral of end discontinuous functions( not infinite discontinuous ) can be computed.
https://math.stackexchange.com/questions/1284984/an-example-of-discontinuous-integrable-function
An example of discontinuous integrable function. Ask Question Asked 4 years, 5 months ago. Active 4 years, 5 months ago. Viewed 1k ... But I can't prove the same about the upper integral because I can't find the appropriate partition. Part of me says its not integrable but not sure about that. real-analysis integration definite-integrals. share ...
http://ce-ref.com/RC_Design/One_way_slab/One_way_slab.html
End span (discontinuous integral with support): M u = W u l n 2 /14. Negative moments: Negative moments at exterior face of interior support: M u = W u l n 2 /9. Negative moments at interior face of exterior support by spandrel beam: M u = W u l n 2 /24. Negative moments at interior face of exterior support by column: M u = W u l n 2 /16
https://link.springer.com/content/pdf/bbm%3A978-3-319-24115-9%2F1.pdf
End spans Discontinuous end unrestrained w u‘2 n /11 Discontinuous end integral with support w u‘2 n /14 Interior spans w u‘2 n /16 Negative moment At exterior face of the first interior support Two spans w u‘2 n /9 More than two spans w u‘2 n /10 At other faces of interior supports w u‘2 n /11 At the face of all supports for SLABS ...
https://www.youtube.com/watch?v=ISXOUJHjq9U
Apr 16, 2008 · Improper Integral w/ Infinite Discontinuity in the Middle - Duration: 5:21. patrickJMT 142,338 views
https://www.quora.com/How-do-we-know-whether-a-two-way-slab-is-Continuous-or-Discontinuous-along-its-edges
Notice the slabs are a dead end on two sides. Hence they are of two adjacent edges discontinuous table no. 26, case 4 (IS 456:2000 page 91) 2. For CORRIDOR: It also fits in case 4 (IS 456:2000 page 91) as the stair hall is itself a simply supported slab (because stair hall slab is on different elevation as there is accessible roof). So the slab has two continuous edges and two discontinuous edges (on the …
http://drlatifee.weebly.com/uploads/4/8/3/2/48322241/design_of_one_way_slab-basic_theory_and_procedures-dr._latifee-16-dec-2015v1.pdf
Solid Slabs Continuous at one End Solid Slabs Continuous at both Ends *Minimum thickness for cantilevers can be considered equal to twice that of for a simple span Where, l n is the span length in the direction of bending. For the negative moment at the interior face of the exterior support , …
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