假定公式

The formula can be used in approximate calculation of instable critical load of high pier in the design and construction.

本文利用能量原理的Ritz法，在对截面惯性矩变化作线性假定后，推导出变截面空心薄壁高墩失稳临界荷载近似计算公式，可用于设计施工中对高墩失稳临界荷载的近似计算。1中心压杆稳定理论及能量原理中心压杆的失稳问题是稳定问题中的一个最基本的问题。

Through the results from finite-element package, real distributes of shear stresses at the bonded plate/concrete interface are found. According to this, the assumption and the formula are amended.

通过有限元分析方法，得到了外粘钢板与混凝土之间剪应力的分布规律，并据此对外粘钢板与混凝土之间剪应力的分布假定进行了修正，得到了修正的锚固长度计算公式。

The instructive conclusion was: 1 under the vertical loading, the shear-lag effect was produced badly, more severer under concentrated loading than under uniform loading .2 the longitudinal bending deformation of the beam flange was true of the imitating plane assumption of deformation . 3 the width length ratio was confirmed as the first factor working on the shear-lag effect among all the geometric parameters;4 the shear-lag coefficient of simple-supported box-girder was severer than the continuous box-girder, the shear-lag effect in the inner supported section of continuous beam was much more severer, we need paying more attention for it in designing. 5 the non-liner characteristics of material deformation have littlie influence on shear-lag effect in BGCW. 6 the experiential calculating formulation and calculating diagram for the effective flange width was raised with the only factor of the width-span ratio., but the primary location of axis of bending moments should not be changed while calculating the inertial moment .

研究认为：1室内模型试验和空间有限元分析结果均表明波形钢腹板组合箱梁在竖向荷载作用下，翼板出现了典型的纵向应力剪滞效应。2在竖向荷载作用下，截面高度上各点纵向正应变分布认为可符合"拟平截面假定"，以此作为波形钢腹板组合箱梁抗弯计算的基本假定。3箱梁宽跨比是影响波形钢腹板组合箱梁翼板剪滞效应的主要因素。4连续波形钢腹板组合箱梁的翼板剪滞系数大于简支梁，且连续箱梁内支点截面翼板剪滞效应相当严重，对此需十分重视。5当混凝土翼板受力由弹性阶段进入弹塑性阶段时，材料的非线性特性对翼板的剪滞效应影响甚微。6提出了根据组合箱梁的宽跨比参数来计算翼板有效宽度比的经验公式和计算图表，但箱梁截面抗弯惯性矩的计算不应改变原先的截面中和轴位置。

In this paper Fractional Brownian Motion model is employed to describe the changes of the prices of financial instrument.

利用分数维布朗运动模型来描述金融价格的变动。在假定标的资产价格服从分数维布朗运动的新模式下，讨论标的资产有红利支付时的欧式差价期权的定价公式，并给出计算公式

The comparison indicates the strain variety ratio of strain and that of interface layer are closed, the theory formula based on this assumption is more reasonable and can be applied in engineering practice.

几种基本假设中，假定光纤与中间层一起变形，二者应变变化率相近最为合理，在此基础上推导出的理论公式可应用于工程实际。

Under the hypothesis of stock price submitting to exponential Ornstein-Uhlenbeck process ,we solve the formula of pricing of stock and analyse the kind of the option formula, and then aiming at the blemish to suppose to interest rate before and considering the relation of the fluctuation of interest rate and the fluctuation of stock price , we bring up the model of the market interest rate and focus on analyzing the effect of the fluctuation of market interest rate on the option price based on the model.

本文首先在股票价格服从指数Ornstein-Uhlenbeck过程模型假设下，求解了股票的定价公式，分析了期权公式的性质，然后针对以往对利率假定的缺陷，考虑到市场利率波动与股价波动的相关性，提出了市场利率模型，并在此基础上，着重分析了市场利率的波动对期权价值的影响，求得了适合于期权有效期较长情形下的期权定价公式，并将该公式通过实例与著名的Black-Scholes期权定价公式进行了深入比较。

On the base of the analysis, the following standpoints are presented definitely. There is no such a so-called zone with low density near the inwall of the lining. Upon the explosion terminates, the mortar would lose characteristics of the fluid. The compression strength of the lining layer formed by explosion is higher than that of a reference block tested.

在假定材料服从Tresca屈服准则或Coulomb屈服准则的条件下，得到了圆形井筒和球形腔体最大扩张压力p〓的计算公式；衬砌材料塑性区应力σ〓、σ〓和土体塑性区的应力σ〓、σ〓的计算公式；土体弹性区的应力σ〓、σ〓和径向位移u〓的计算公式；衬砌材料与土体交界面半径R〓以及土体中弹塑性区交界面半径R〓的计算公式。

The formula of normal cross section bending resistance bearing capacity based on the assumption of plane deformation of the cross section, and the formula of oblique section shear bearing capacity according to its composition and deformation are suggested.

在平截面假定的基础上，提出了两者正截面受弯承载力公式；按墙体组成材料对抗剪承载力的贡献，提出了墙体斜截面受剪承载力公式；同时还提出了墙体侧向变形的计算公式。

Based on the load transmission mechanism of space truss, and referenced theanalysis of test materials, a formula for calculating the bearing capacity of reinforcedconcrete compression strut is introduced. By using the theory of plastic hinge-line, anupper limit solution of bent bearing capacity for four-pile cap, which coincidesprecisely with the practical measurements, is obtained. By utilizing the reaction ofthe soil under cap and by basing on the method of plastic ultimate analysis, an upperlimit solution of punching shear bearing capacity for pile cap is acquired, which. coincides precisely with the practical measurements, and the formula is similar to thecode.A brief discuss on cooperative work of strip beam of foundation and single rankof piles is made. Separately considering the pile-cap and the pile-group, thencoupling their matrix of rigidity, the inner force of pile-cap is solved by the numericalmethod under some reasonable supposition. In comparison with other method, thecalculating results are exact, reliable and convenient in using. The method provides apowerful tQol fOr further analysis and research on this kind of structure.

本文以空间桁架传力机理为基础，结合试验资料分析，推导了钢筋混凝土等边三桩承台受冲切承载力计算公式；根据塑性铰线理论，导得了与试验结果吻合良好的四桩承台受弯承载力的上限解；利用承台底土反力分布，根据塑性极限分析方法，导得了桩基承台受冲切承载力的上限解，在此基础上，通过简化假定，得到与规范公式相类似的承台受冲切承载力实用公式，该公式能方便考虑台底土反力作用，与试验结果的吻合程度比规范公式好；简要讨论了桩基条形承台梁与单排桩的协同工作分析；在一些合理假定的基础上，将承台与群桩分开考虑，分别得到其刚度矩阵后进行耦合，通过数值方法求解承台内力，算例表明，该方法结果准确，使用方便，为该类结构的进一步分析研究及工程设计提供了强有力的工具。

According to the basic equations derived under the two assumptions by Harold Lauffer—(1) the energy head of every point of a vertical section remains constant,(2) the flow lines are concentric circular arcs,this paper qives a comprehensive deduction of curvature effect in the characteristics of free overflow of round-crested spillway.118 runs of experiments of three round-crested spillway models of different size have been conducted by the author.

本文根据劳弗尔氏在两项假定[(1)垂直测线上各点所含能量为常数，(2)流线呈同心圆弧]下所导得的基本公式，作了详细的补充引伸，得出圆顶壩自由溢流时各项水力特性中的曲率影响计算公式。作者曾进行了大、中、小三个圆顶壩模型的试验共118组，试验成果基本上和导得的计算公式相合致。文中并根据试验资料制定了一些经验公式，应用时可更简便。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。