# 3.7.1.5 Nodal Displacements

Fig. 3.7.1.5.1: Simply supported beam under axial and transverse point-load

The **“NodeDisp”**-component lists the displacements of nodes for the load-case-selection specified via the **“LCase”**-input. Nodes can be chosen via position or index. In case of missing input at **"Pos|Inds"**, results for all nodes will be listed in the order of the corresponding node indexes. Two lists consisting of vectors make up the output at the plugs **“Trans”** and **“Rot”**. For each node there is a list of vectors which contains the nodal translations or rotations for each selected load-case (see fig. 3.7.1.5.1). The vectors refer to the global coordinate system. Their units are meter and radiant. A positive rotation say about the global X-axis means that the node rotates counterclockwise for someone who looks at the origin of the coordinate system with the X-axis pointing towards him or her. The **"Pos"** output provides the coordinates of the nodes for which results were retrieved, listed in corresponding order. The system in fig. 3.7.1.5.1. includes two load-cases: "LC0" which has mid-point loads of 2kN acting downwards and 2kN in axial direction. "LC1" comprises mid-point loads of 1kN pointing upwards and 1kN in horizontal direction. The load-case-combination "LCC" is "LC0" or "LC1", or more formally: LCC = LC0 | LC1. For nodal displacements the result selection works as follows: #### No leading property chosen from the "For Displacements"-group By default, no leading property is active when placing a new "Load-Case Selector"-component * If no leading property of the displacement group is chosen (like in fig. 3.7.1.5.1) the selection of **"Min"** or **"Max"** results in translation and rotation vectors whose individual components are the minimum and maximum values of all load-cases of "LCC". The first translation vector for point "3" in fig. 3.7.1.5.1 - it's the middle node of the beam - returns the vector {0.000014, 0, -0.0211221}. The X-component comes from "LC1", the Z-component from "LC0".\ The **"LCaseInd"**-output of "-1" in fig. 3.7.1.5.1. indicates, that there is no single load-case which produces the tanslation- and rotation-response since it is an envelope of minimum and/or maximum numbers- * In case neither **"Min"** nor **"Max"** is selected the results of all load-cases of the selected load-case-combination get output (see fig. 3.7.1.5.2). **"LCaseInd"** contains now the load-case indexes within the load-case-combination which corresponds to the vector results.

Fig. 3.7.1.5.2: No leading property selected, neither "Min" nor "max" chosen.

#### With leading property chosen from the "For Displacements"-group Fig. 3.7.1.5.3 shows what happens when the translational displacement in Z-direction acts as the leading property of the displacement-result-group: in node "3" load-case "LC0" which has index 0 in "LCC" wins over "LC1". At the supports both load-cases result in zero vertical displacement. Since the selection is undecided there **"LCaseInd"** returns "-1".

Fig. 3.7.1.5.3: Translation in Z-direction ("TransZ") chosen as leading property.

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