定义一个简单振动器,由质量 m(只考虑 x 方向)和刚度为 k 的弹簧组成。 The mass is embedded on a surface with Coulomb friction and is loaded by constant-in-time axial and transverse forces.
左端支承一个 I 形截面的悬臂梁,图中显示了扭矩荷载。 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).
本例题介绍的是膜板约束。 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.
一栋两层单跨框架结构处于地震作用下。 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.
截面为 ASTM A992 W 18×50 的梁用于跨度和均布活荷载,如图 1 所示。 The member is limited to a maximum nominal depth of 18 inches. 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.
施加阻尼器的单质量系统受到恒定的力。 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.
假设在脚手架底部设置了一个刚性圆筒,该圆筒由一个弯矩和一个力来定义。 Calculate the maximum radial deflection by exceeding the capacity of the scaffolding support.
施加集中质量的细长梁,并施加一个随时间变化的力。 It is simply supported. The problem is described using the following parameters. Determine the deflections in the given test times.