谁帮忙翻译一下谢谢!翻译器都翻译的不准确~~
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谁帮忙翻译一下谢谢!翻译器都翻译的不准确~~
2. Description of Method
1) First of all the degree of statically indeterminacy is determined. A number of releases equal to the degree of indeterminacy is now introduced, each release being made by the removal of an external or an internal force. The releases must be chosen so that the remaining structure is stable and statically determinate. However in some cases the number of releases can be less than the degree of indeterminacy provided the remaining statically indeterminate structure is so simple that it can be readily analyzed. In all cases, the released forces, which are also called redundant forces, should be carefully chosen so that the released structure is easy to analyze.
2) The releases introduce inconsistencies in displacements, and as a second step these inconsistencies or “errors” in the released structure are determined. In other words, we calculate the magnitude of the “errors” in the displacements corresponding to the redundant forces. These displacements may be due to external applied loads, settlement of supports, or temperature variation.
3) The third step consists of a determination of the displacements in the released structure due to unit values of the redundant (cf. Figs.14-ld and e). These displacements are required at the same location and in the same direction as the error in displacements determined in step 2.
4) The values of the redundant forces necessary to eliminate the errors in the displacements are now determined. This requires the writing of the superposition equations in which the effects of the separate redundant are added to the displacements of the released structure.
5) Hence, we find the forces on the original indeterminate structure; they are the sum of the correction forces (redundant) and forces on the released structure.
This brief description of the application of the force method will now be illustrated by examples.
Example 14-1: Fig. 14-1a shows a beam ABC fixed at C, resting on roller supports at A and B, and carrying a uniform load of q per unit length. The beam has a constant flexural rigidity EI. Find the reactions of he beam.
2. Description of Method
1) First of all the degree of statically indeterminacy is determined. A number of releases equal to the degree of indeterminacy is now introduced, each release being made by the removal of an external or an internal force. The releases must be chosen so that the remaining structure is stable and statically determinate. However in some cases the number of releases can be less than the degree of indeterminacy provided the remaining statically indeterminate structure is so simple that it can be readily analyzed. In all cases, the released forces, which are also called redundant forces, should be carefully chosen so that the released structure is easy to analyze.
2) The releases introduce inconsistencies in displacements, and as a second step these inconsistencies or “errors” in the released structure are determined. In other words, we calculate the magnitude of the “errors” in the displacements corresponding to the redundant forces. These displacements may be due to external applied loads, settlement of supports, or temperature variation.
3) The third step consists of a determination of the displacements in the released structure due to unit values of the redundant (cf. Figs.14-ld and e). These displacements are required at the same location and in the same direction as the error in displacements determined in step 2.
4) The values of the redundant forces necessary to eliminate the errors in the displacements are now determined. This requires the writing of the superposition equations in which the effects of the separate redundant are added to the displacements of the released structure.
5) Hence, we find the forces on the original indeterminate structure; they are the sum of the correction forces (redundant) and forces on the released structure.
This brief description of the application of the force method will now be illustrated by examples.
Example 14-1: Fig. 14-1a shows a beam ABC fixed at C, resting on roller supports at A and B, and carrying a uniform load of q per unit length. The beam has a constant flexural rigidity EI. Find the reactions of he beam.
2.方法概述
1)首先,超静定次数是已定的.这时,引入与不定度相等的释放数量,每个释放度都是由内力或外力的移动而产生的.必须选择释放度的大小,这样才能让剩余的结构稳定并静止.但是在某些情况下,释放数量小于不定度,可以造成超静定结构,这种结构很简单也很容易分析.不管怎样,释放的力,也叫做剩余力,都应该被仔细地选定,这样才能方便分析释放结构.
2)在偏转中,释放带来了易变,作为第二步,这些在释放结构中的易变或“误差”是已经测定的.换句话来说,我们要计算偏转中与剩余力同步的“误差”的量级.这些偏转也许是因为外部的外加负载、支座的放置和温度的不同.
3)第三部步包括测定在释放结构中的偏转,该偏转是由剩余力的单位值引起的.(参见图14-Id和e).因为偏转中的误差已经在第二步中测定了,所以该偏转要求发生在相同的位置相同的方向.
4)限制偏转中误差发生的必要剩余力的值现在已经测定了,当单独的剩余力影响被加入释放结构中的偏转时,需要用到重合公式.
5)这样,我们就找到了原先超静定结构中的力.它们是纠正力(剩余力)的总和,也是作用在释放结构上的力.本概述应用力法的方式将不会以例说明.
例14-1:图14-1显示了ABC梁在C点的纠正,并停靠在滚住支座A和B,同时在没个长度单位上附带了q均布荷载.这根梁因此拥有了恒定的曲折刚性EI.找到梁的反作用力.
1)首先,超静定次数是已定的.这时,引入与不定度相等的释放数量,每个释放度都是由内力或外力的移动而产生的.必须选择释放度的大小,这样才能让剩余的结构稳定并静止.但是在某些情况下,释放数量小于不定度,可以造成超静定结构,这种结构很简单也很容易分析.不管怎样,释放的力,也叫做剩余力,都应该被仔细地选定,这样才能方便分析释放结构.
2)在偏转中,释放带来了易变,作为第二步,这些在释放结构中的易变或“误差”是已经测定的.换句话来说,我们要计算偏转中与剩余力同步的“误差”的量级.这些偏转也许是因为外部的外加负载、支座的放置和温度的不同.
3)第三部步包括测定在释放结构中的偏转,该偏转是由剩余力的单位值引起的.(参见图14-Id和e).因为偏转中的误差已经在第二步中测定了,所以该偏转要求发生在相同的位置相同的方向.
4)限制偏转中误差发生的必要剩余力的值现在已经测定了,当单独的剩余力影响被加入释放结构中的偏转时,需要用到重合公式.
5)这样,我们就找到了原先超静定结构中的力.它们是纠正力(剩余力)的总和,也是作用在释放结构上的力.本概述应用力法的方式将不会以例说明.
例14-1:图14-1显示了ABC梁在C点的纠正,并停靠在滚住支座A和B,同时在没个长度单位上附带了q均布荷载.这根梁因此拥有了恒定的曲折刚性EI.找到梁的反作用力.
谁帮忙翻译一下谢谢!翻译器都翻译的不准确~~
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