Consider an ASTM A992 W 18×50 beam forspan and uniform dead and live loads as shown in Figure 1. Стержень ограничен максимальной номинальной высотой 18 дюймов (45,72 см). 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.
Биметрический пояс состоит из инвара и меди. The left end of the bimetallic strip is fixed, and the right end is free, loaded by temperature difference. While neglecting self-weight, determine the deflection of the bimetallic strip (free end).
Система двух масс состоит из двух стержней и двух масс, представленных соответствующими моментами инерции, сосредоточенными на заданном расстоянии в качестве узловых масс. The left shaft is fixed, and the right mass is free. Neglecting the self‑weight of the shafts, determine the torsional natural frequencies of the system.
A structure is made of two trusses of unequal length, which are embedded into the hinge supports. The structure is loaded by concentrated force. Собственный вес не учитывается. Determine the relationship between the loading force and the deflection, considering large deformations.
Конструкция из двутаврового профиля полностью закреплена на левом конце и встроена в подвижную опору на правом конце. The structure consists of two segments. 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.
Рассмотрим жесткую трубу строительных лесов, закрепленную снизу с помощью Узловой опоры лесов и нагруженную моментом и силой. Calculate the maximum radial deflection by exceeding the capacity of the scaffolding support.
В длинной тонкой балке, несущей сосредоточенную массу, она нагружена зависящей от времени силой. It is simply supported. The problem is described using the following parameters. Determine the deflections in the given test times.
Потом определите максимальный прогиб консоли, состоящей из двух слоев стекла и одного промежуточного слоя пленки. The plate is fully fixed at one end and subjected to uniform pressure.
A structure is made of two trusses, which are embedded into the hinge supports. The structure is loaded by concentrated force. Собственный вес не учитывается. Determine the relationship between the loading force and the deflection, considering large deformations.
Конструкция из двутавровых ферм опирается на обоих концах пружинные скользящие опоры и нагружена поперечными силами. The self-weight is neglected in this example. 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.
На левом конце поддерживается двутавровая консоль, которая нагружена крутящим моментом. 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).
Определение максимальных прогибов блока с учетом или без учета действия сдвига. The square block of the isotropic material is fully fixed at one end and loaded with uniform vertical pressure.
Докажите, что соединение различных размерных элементов не влияет на результаты. 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.