土木工程专业英语上册_翻译苏小卒_同济大学(考试手机专业版)(4)

when P is in（以..为单位）Newtons and A is in square metres, stress, ,is in Newtons per square metre (N/m2), which is by definition（根据定义）Pascals (Pa).

为了使你对设计周期有一些了解，首先研究一个非常简单的构件。构件是个棱形的杆件，其上沿着它的纵轴向作用一个力P，这样往往使杆件在该方向上伸长。这样的力称为轴向拉力，我们能容易地想象它在努力地将纤维拉开，导致横向平面的破坏。安全地假定杆件的所有纤维在远离荷载施加点的区域以相同的荷载强度被拉开。在此假定下，荷载强度或应力在横向平面上是均匀的，为 当P的单位为牛顿、A的单位为平方米时，应力σ的单位为牛顿每平方米（N/m2），根据定义为帕斯卡（Pa）。

For a given axial load and given dimensions, the stress can be calculated from (4-1) and compared with（与..相比）the stress that can be safely carried by the material. The safe stress, known as（称为）the design stress or allowable stress（许用应力）, is determined by tests performed on material made to（按照） the same specifications as the part being considered.

A safety factor（安全系数）, frequently imposed by a legally established code（法规）, is applied to the strength, as determined by tests, to give the allowable stress. The allowable stress, a , is given by

where f is the stress at which the material fails (failure to be defined later) and n is the safety factor.

对已知的轴向力和（构件）尺寸，可根据公式（4-1）计算出应力，并与材料能安全承受的应力作比较。安全应力，称为设计应力或许用应力，它是通过对材料的试验来确定的，该（试验）材料按照与所考虑（验算）的杆件相同的规范制作。根据法规规定，通常对试验所确定的强度考虑安全系数后得到许用应力。许用应力 a 为

这里， f 为材料失效（失效在下文有定义）时的应力，而n为安全系数。

Before approving（核准）trial dimensions, the designer makes certain（确信）that the design is safe by determining that the inequality（不等式）

is satisfied. The inequality is usually more convenient in the form

不等式常常以更合适的形式出现，即

在核准试算的尺寸之前，设计者通过确定不等式成立而确信设计的安全，即

It might at first（起先）seem that the designer would always dimension（选定..的尺寸）the cross section（横截面） so that the stress would exactly equal the allowable stress. However, it may be very costly to produce parts that have nonstandard sizes, so it is usually more economical to waste some material by selecting the next（接近的）larger standard size above that required by the allowable stress. Departure from（背离）standard sizes is justified（合理的） in cases where the penalty（不利后果）for excess weight is very severe, as in aircraft（航天器）or space-ship（宇宙飞船）design.

起先似乎设计者总是在选定横截面的尺寸，以使应力恰好等于许用应力。但是，生产非标准尺寸部件的成本可能很高，因此，通常人们会选择比按许用应力要求的尺寸大一些的标准尺寸部件，这样尽管浪费了一些材料，但总体上更经济。但不选择标准尺寸的做法在诸如航天器和宇宙飞船的设计中证明是合理的，因为多余重量产生的不利后果是很严重的。

Design of Beams 梁的设计

Up to this point（至此）we have looked at（考虑）the beam problem as a problem in analysis; that is（即）, for a given set of loads, span, and cross section we have been calculating the stress. The more commonly encountered problem is to select a standard section, or design a member, for a given span and loads without exceeding a certain allowable stress. Under some conditions the allowable stress may be dependent upon the dimensions and shape of the cross section, in which case the selection of the member becomes more difficult. For the present（暂时）we will take the allowable stress as though（似乎）it depends only on the strength of the material and the safety factor.

至此，我们已经考虑了梁的问题而进行了（问题）分析，即对给定的一组荷载、跨度和横截面，我们已经计算了应力。更常遇到的问题是在不超过某个许用应力下对一个给定的跨度和荷载选择一个（构件的）标准截面，或设计一个构件。在某些条件下，许用应力可

能依赖于横截面的尺寸和形状，这种情况下的构件选择会变得比较困难。暂时我们将采用许用应力法，似乎它只取决于材料的强度和安全系数。

A trial member will be acceptable（合格）when the stress is equal to, or less than, the allowable stress, that is, if For design purposes this inequality is more useful in the form

In the usual design process the maximum bending moment is taken from（取自于）the bending moment diagram（弯矩图） and the allowable stress is determined (quite frequently in accordance with（根据）the rules of some legally constituted code) from standard strength tests in combination with（与..结合）a safety factor. The right-hand side of (4-6) is then known, and it remains（仍然是） to select or design a member that will satisfy the inequality. When a standard section is to be used, the tables（表格）could be searched until a member is found such that the combination of I and c satisfies (4-6). This takes more time than is really necessary, since the tables also provide the value of I/c for each member under the heading（标题）S, the section modulus（截面模量）.

当试算构件的应力等于或小于许用应力时，也就是说，如果

在通常的设计过程中，最大的弯距从弯距图上取得，而许用应力通过标准强度试验并考虑安全系数后确定（往往是根据一些法规的规则）。这样，已知式（4-6）右手边的值，则仍然是选择或设计构件以满足该不等式。当使用标准截面时可以查找表格，直至找到的构件其I和c值的组合能满足式（4-6）。这样花费的时间比实际需要的多，因为表格中在截面模量S的标题下也提供了每一个构件的I/c的值。

试算构件即为合格。根据设计的需要，（上述）不等式以下列形式出现更有用，即

That is, the section modulus is defined as（定义为）

To select a member, the S column（列） is consulted（查阅） and any member that satisfies (4-8) could be used. The members with very high values of S will obviously be understressed（应力不足的）and wasteful of material. The best design, if there are no other constraints, will be that which satisfies (4-8) with the minimum amount of material.

With tabulated values of S available it is much more convenient to use (4-6) in the form…… 此处隐藏：4929字，全部文档内容请下载后查看。喜欢就下载吧 ……