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.
A membrane is stretched by means of isotropic prestress between two radii of two concentric cylinders not lying in a plane parallel to the vertical axis. Find the final minimum shape of the membrane - the helicoid - and determine the surface area of the resulting membrane. K tomu slouží přídavný modul RF-FORM-FINDING. Elastic deformations are neglected both in RF-FORM-FINDING and in the analytical solution; self-weight is also neglected in this example.
A cylindrical membrane is stretched by means of isotropic prestress. Find the final minimal shape of the membrane - catenoid. Stanovíme maximální radiální průhyb membrány. The add-on module RF-FORM-FINDING is used for this purpose. Elastic deformations are neglected both in RF-FORM-FINDING and in the analytical solution; self-weight is also neglected in this example.
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.
A cable is loaded by means of a uniform load. Výsledkem je deformovaný tvar kruhového segmentu. Determine the equilibrium force of the cable to obtain the given sag of the cable. The add-on module RF-FORM-FINDING is used for this purpose. Elastic deformations are neglected both in RF-FORM-FINDING and in the analytical solution; self-weight is also neglected in this example.
A spherical balloon membrane is filled with gas with atmospheric pressure and defined volume (these values are used for FE model definition only). Determine the overpressure inside the balloon due to the given isotropic membrane prestress. K tomu slouží přídavný modul RF-FORM-FINDING. Elastic deformations are neglected both in RF-FORM-FINDING and in the analytical solution; self-weight is also neglected in this example.
A pipe with a tubular cross-section is loaded by internal pressure. This internal pressure causes axial deformation of the pipe (the Bourdon effect). Stanovte axiální deformaci koncového bodu trubky.
Konstrukce se skládá ze čtyř prutů, které jsou uloženy na kloubových podporách. The structure is loaded by a concentrated force and alternatively by imposed nodal deformation over the critical limit point, when snap-through occurs. Imposed nodal deformation is used in RFEM 5 and RSTAB 8 to obtain the full equilibrium path of the snap-through. The self-weight is neglected in this example. Determine the relationship between the actual loading force and the deflection, considering large deformation analysis. Evaluate the load factor at given deflections.
Prut s W-profilem podle ASTM A992 je vybrán tak, aby unesl vlastní tíhu 30 000 kips a užitné zatížení 90 000 kips v tahu. Verify the member strength using both LRFD and ASD.
A closely coiled helical spring is loaded by a compression force. The spring has middle diameter D, wire diameter d, and it consists of i turns. Celková délka pružiny je L. Determine the total deflection of the spring for the member model and one‑turn deflection for the solid model.
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.
A truss structure consists of three rods (one steel and two copper) joined by a rigid member. The structure is loaded by a concentrated force and a temperature difference. Celkový průhyb konstrukce je stanoven bez zohlednění vlastní tíhy.
Ocelový prut mezi dvěma tuhými podporami se spárou na jednom konci je zatížen rozdílem teplot. While neglecting self‑weight, determine the total deformation of the rod and its internal axial force.
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.
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.
Jednoduše podepřená obdélníková deska je vystavena různým typům zatížení. Assuming only the small deformation theory and neglecting self-weight, determine the deflection at its centroid for each load type.
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.
Eliptická deska se sevřeným ohraničením je vystavena rovnoměrně rozdělenému příčnému zatížení. Assuming the small deformation theory and neglecting the self‑weight, the maximum out‑of‑plane deflection of the plate is determined.
Jednoduše podepřená rovnostranná trojúhelníková deska je namáhána rovnoměrně rozděleným příčným zatížením. Assuming the small deformation theory and neglecting self‑weight, the maximum out‑of‑plane deflection of the plate is determined.
Jednoduše podepřená obdélníková Kirchhoffova deska je namáhána konstantním bočním tlakem a namáhána spojitým zatížením. The maximum out-of-plane deflection is determined by assuming small deformations.