A thin rectangular orthotropic plate is simply supported and loaded by uniformly distributed pressure. The directions of axes x and y coincide with the principal directions. Maximální průhyb desky se stanoví bez zohlednění vlastní tíhy.
Jednoduchý oscilátor se skládá z tělesa o hmotnosti m (uvažuje se pouze ve směru osy x) a lineární pružiny s tuhostí k . The mass is embedded on a surface with Coulomb friction and is loaded by constant-in-time axial and transverse forces.
Konzola s I-profilem je podepřena na levém konci a zatížena momentem. The aim of this example is to compare the fixed support with the fork support and to investigate the behavior of some representative quantities. Comparison is also made to the solution by means of plates. Small deformations are considered, and the self-weight is neglected. Determine the rotation in the midpoint of the cantilever, and in case of the member entity with warping, determine the values of the primary torsional moment, the secondary torsional moment, and the warping moment both on the left end (point A) and the right end (point B).
Tento příklad slouží jako ukázka vazby diafragma. The application is shown on a two-story structure. The structure is loaded by means of lateral forces according to Figure 1. Determine the maximum deflection of the structure ux in the direction of the loading forces using both the diaphragm constraint and the plate model of the floor.
A structure made of an I-profile is fully fixed on the left end and embedded into the sliding support on the right end. Konstrukce se skládá ze dvou segmentů. The self-weight is neglected in this example. Determine the maximum deflection of the structure, the bending moment on the fixed end, the rotation of segment 2, and the reaction force at point B by means of the geometrically linear analysis and the second-order analysis. The verification example is based on the example introduced by Gensichen and Lumpe.
A structure made of I-profile trusses is supported on both ends by spring sliding supports and loaded by transversal forces. Vlastní tíha se v tomto příkladu nezohledňuje. Determine the deflection of the structure, the bending moment, the normal force in the given test points, and the horizontal deflection of the spring supports.
A symmetrical shallow structure is made of eight equal truss members, which are embedded into hinge supports. The structure is loaded by a concentrated force and alternatively by imposed nodal deformation over the critical limit point when the snap-through occurs. Imposed nodal deformation is used in RFEM 5 and RSTAB 8 to obtain the full equilibrium path of the snap-through. Vlastní tíha se v tomto příkladu nezohledňuje. Determine the relationship between the actual loading force and the deflection, considering large deformation analysis. Evaluate the load factor at the given deflections.
Rovinný příhradový vazník, který se skládá ze čtyř šikmých prutů a jednoho svislého prutu, je zatížen v horním uzlu svislou silou a silou mimo rovinu. Assuming the large deformation analysis and neglecting the self-weight, determine the normal forces of the members and the out-of-plane displacement of the upper node.
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.
Konstrukce z I-profilu je vetknuta do vidlic. The axial rotation is restricted on both ends while warping is enabled. The structure is loaded by two transverse forces in the middle. The verification example is based on the example introduced by Gensichen and Lumpe.
Tlumený jednohmotový systém je zatížen konstantní silou. Determine the spring force, damping force, and inertial force at the given test time. In this verification example, the Kelvin--Voigt dashpot (namely, a spring and a damper element in serial connection) is decomposed into its purely viscous and purely elastic parts, in order to better evaluate the reaction forces.
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.
Dokažte, že spojení různých rozměrových prvků nemá vliv na výsledky. A cantilever with a rectangular cross-section is fixed at one end and loaded at the other by concentrated forces. Neglecting its self-weight and assuming only small deformations, determine the cantilever's maximum deflections.
Uvažujeme tuhou lešenářskou trubku, která je ve spodní části fixně podepřena uzlovou podporou pro lešení a zatížena momentem i silou. Calculate the maximum radial deflection by exceeding the capacity of the scaffolding support.