Nosník uložený na obou koncích je zatížen soustředěnou silou uprostřed. Neglecting its self-weight and shear stiffness, determine the beam's maximum deflection, normal force, and moment at the mid-span, assuming the second- and third-order analysis.
Konzola je na svém volném konci zatížena momentem. Using the geometrically linear analysis and large deformation analysis, and neglecting the beam's self-weight, determine the maximum deflections at the free end. The verification example is based on the example introduced by Gensichen and Lumpe.
Nosník je na levém konci zcela upevněn (deplanace je omezena) a na pravém konci je podepřen vidlicovou podporou (deplanace je povolena). The beam is subjected to a torque, longitudinal force, and transverse force. Determine the behavior of the primary torsional moment, secondary torsional moment, and warping moment. The verification example is based on the example introduced by Gensichen and Lumpe.
A timber beam reinforced by two steel plates at the ends is loaded by pressure. The wood fibers are parallel to the upper loaded side of the beam. Plastická plocha je popsána podle teorie plasticity Tsai-Wu.
Prostě podepřený nosník je v daném čase náhle zatížen osamělou silou působící uprostřed rozpětí. Considering only the small deformation theory, determine the maximum deflection of the beam.
A cantilever beam with an I-beam cross-section of length L is defined. The beam has five mass points with masses m acting in the X-direction. Vlastní tíhu zanedbáme. The frequencies, mode shapes, and equivalent loads of this 5-DOF system are analytically calculated and compared with the results from RSTAB and RFEM.
Stanovíme ohybový moment, který při působení na volném konci konzoly způsobí ohyb prutu do kruhového tvaru. Neglecting the beam's self-weight, assuming the large deformation analysis, and loading the cantilever with the moment, determine its maximum deflections.
Consider an ASTM A992 W 18×50 beam forspan and uniform dead and live loads as shown in Figure 1. Maximální jmenovitá výška prutu je 18 palců. The live load deflection is limited to L/360. The beam is simply supported and continuously braced. Verify the available flexural strength of the selected beam, based on LRFD and ASD.
Ve středu pole prostého nosníku působí krátkodobě osamělá síla. Considering only the small deformation theory and assuming that the mass of the beam is concentrated at its mid‑span, determine its maximum deflection.
A timber beam reinforced by two steel plates at the ends is loaded by pressure. The wood fibers are parallel to the upper loaded side of the beam. Plastická plocha je popsána podle teorie plasticity Tsai-Wu.
A long, thin beam is carrying a concentrated mass and is loaded by a time-dependent force. Je prostě podepřený. The problem is described using the following parameters. Determine the deflections in the given test times.
Dvoupodlažní rámová konstrukce o jednom poli je vystavena seizmickému zatížení. The modulus of elasticity and cross‑section of the frame beams are much larger than those of the columns, so the beams can be considered rigid. The elastic response spectrum is given by the standard SIA 261/1:2003. Neglecting self-weight and assuming the lumped masses are at the floor levels, determine the natural frequencies of the structure. For each frequency obtained, specify the standardized displacements of the floors as well as equivalent forces generated using the elastic response spectrum according to the standard SIA 261/1.2003.
Osově zatížený ocelový nosník se čtvercovým průřezem je na jednom konci kloubově uložený a na druhém pružně podepřený. Two cases with different spring stiffnesses are considered. The verification example solves the calculation of the load factors of the beam in the image using the linear stability analysis.
Na obrázku 1 je znázorněn nosník ASTM A992 W 24×62 se smykem na konci 48 000 a 145 000 kips od vlastní tíhy a užitného zatížení. Verify the available shear strength of the selected beam, based on LRFD and ASD.
Uvažujeme tuhou lešenářskou trubku, která je ve spodní části fixně podepřena uzlovou podporou pro lešení a zatížena momentem i silou. Self-weight is not considered. Considering an infinitely rigid beam, determine the maximum radial deflection.
A member with the given boundary conditions is loaded by torsional moment and axial force. Neglecting its self-weight, determine the beam's maximum torsional deformation as well as its inner torsional moment, defined as the sum of a primary torsional moment and torsional moment caused by the normal force. Tyto hodnoty porovnáme při zohlednění nebo zanedbání vlivu normálové síly. The verification example is based on the example introduced by Gensichen and Lumpe.
A column is composed of a concrete section (rectangle 100/200) and a steel section (profile I 200). Je vystaven tlakové síle. Determine the critical load and corresponding load factor. The theoretical solution is based on the buckling of a simple beam. In this case, two regions have to be taken into account due to different moments of inertia and material properties.
Zakřivený nosník se skládá ze dvou nosníků obdélníkového průřezu. The horizontal beam is loaded by distributed loading. While neglecting self-weight, determine the maximum stress on the top surface of the horizontal beam.
A quarter-circle beam with a rectangular cross-section is loaded by means of an out-of-plane force. This force causes a bending moment, torsional moment, and transverse force. Stanovíme celkový průhyb zakřiveného nosníku bez zohlednění vlastní tíhy.
Kloubový nosník s obdélníkovým průřezem je namáhán rovnoměrným zatížením a vykazuje posun ve svislém směru vlivem excentricity. Considering the small deformation theory, neglecting the self‑weight, and assuming that the beam is made of isotropic elastic material, determine the maximum deflection.