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  2. Integral bridge - Wikipedia

    en.wikipedia.org/wiki/Integral_bridge

    The movement experienced at the abutment in an integral bridge is an order of magnitude greater than those designed with movement joints. The size of movement depends on the stiffness of the bridge structure and the fill adjacent to the abutment (which is subject to compaction).

  3. Integral test for convergence - Wikipedia

    en.wikipedia.org/wiki/Integral_test_for_convergence

    The integral test applied to the harmonic series. Since the area under the curve y = 1/ x for x ∈ [1, ∞) is infinite, the total area of the rectangles must be infinite as well. Part of a series of articles about

  4. Abutment - Wikipedia

    en.wikipedia.org/wiki/Abutment

    An abutment is the substructure at the ends of a bridge span or dam supporting its superstructure. [1] Single-span bridges have abutments at each end that provide ...

  5. Size effect on structural strength - Wikipedia

    en.wikipedia.org/wiki/Size_Effect_on_Structural...

    Here = positive empirical constant; the values = = or 2 have been used for concrete, while is optimum according to the existing test data from the literature (Fig. 2d). A fundamental derivation of Eq. 5 for a general structural geometry has been given by applying dimensional analysis and asymptotic matching to the limit case of energy release ...

  6. Dirichlet's test - Wikipedia

    en.wikipedia.org/wiki/Dirichlet's_test

    In mathematics, Dirichlet's test is a method of testing for the convergence of a series that is especially useful for proving conditional convergence. It is named after its author Peter Gustav Lejeune Dirichlet , and was published posthumously in the Journal de Mathématiques Pures et Appliquées in 1862.

  7. Glossary of civil engineering - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_civil_engineering

    abutment The substructure at either end of a bridge span or dam whereon the structure's superstructure rests or contacts. [12] AC power A type of electric power in alternating current circuits, wherein energy storage elements such as inductors and capacitors may result in periodic reversals of the direction of energy flow. Contrast DC power ...

  8. Schur test - Wikipedia

    en.wikipedia.org/wiki/Schur_test

    In mathematical analysis, the Schur test, named after German mathematician Issai Schur, is a bound on the operator norm of an integral operator in terms of its Schwartz kernel (see Schwartz kernel theorem). Here is one version. [1]

  9. Weierstrass M-test - Wikipedia

    en.wikipedia.org/wiki/Weierstrass_M-test

    In mathematics, the Weierstrass M-test is a test for determining whether an infinite series of functions converges uniformly and absolutely. It applies to series whose terms are bounded functions with real or complex values, and is analogous to the comparison test for determining the convergence of series of real or complex numbers.