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- Q1419000 subject Q7469395.
- Q1419000 subject Q8819620.
- Q1419000 abstract "In engineering, an influence line graphs the variation of a function (such as the shear felt in a structure member) at a specific point on a beam or truss caused by a unit load placed at any point along the structure. Some of the common functions studied with influence lines include reactions (the forces that the structure’s supports must apply in order for the structure to remain static), shear, moment, and deflection. Influence lines are important in designing beams and trusses used in bridges, crane rails, conveyor belts, floor girders, and other structures where loads will move along their span. The influence lines show where a load will create the maximum effect for any of the functions studied.Influence lines are both scalar and additive. This means that they can be used even when the load that will be applied is not a unit load or if there are multiple loads applied. To find the effect of any non-unit load on a structure, the ordinate results obtained by the influence line are multiplied by the magnitude of the actual load to be applied. The entire influence line can be scaled, or just the maximum and minimum effects experienced along the line. The scaled maximum and minimum are the critical magnitudes that must be designed for in the beam or truss.In cases where multiple loads may be in effect, the influence lines for the individual loads may be added together in order to obtain the total effect felt by the structure at a given point. When adding the influence lines together, it is necessary to include the appropriate offsets due to the spacing of loads across the structure. For example, a truck load is applied to the structure. Rear axle, B, is three feet behind front axle, A, then the effect of A at x feet along the structure must be added to the effect of B at (x – 3) feet along the structure—not the effect of B at x feet along the structure.Many loads are distributed rather than concentrated. Influence lines can be used with either concentrated or distributed loadings. For a concentrated (or point) load, a unit point load is moved along the structure. For a distributed load of a given width, a unit-distributed load of the same width is moved along the structure, noting that as the load nears the ends and moves off the structure only part of the total load is carried by the structure. The effect of the distributed unit load can also be obtained by integrating the point load’s influence line over the corresponding length of the structures.".
- Q1419000 thumbnail Muller-Breslau_Principle_-_Influence_Lines.JPG?width=300.
- Q1419000 wikiPageWikiLink Q12280.
- Q1419000 wikiPageWikiLink Q1289248.
- Q1419000 wikiPageWikiLink Q1328068.
- Q1419000 wikiPageWikiLink Q169019.
- Q1419000 wikiPageWikiLink Q22963169.
- Q1419000 wikiPageWikiLink Q2375229.
- Q1419000 wikiPageWikiLink Q3074663.
- Q1419000 wikiPageWikiLink Q3705329.
- Q1419000 wikiPageWikiLink Q6950494.
- Q1419000 wikiPageWikiLink Q7268708.
- Q1419000 wikiPageWikiLink Q7469395.
- Q1419000 wikiPageWikiLink Q7492174.
- Q1419000 wikiPageWikiLink Q7492175.
- Q1419000 wikiPageWikiLink Q770135.
- Q1419000 wikiPageWikiLink Q794269.
- Q1419000 wikiPageWikiLink Q7964839.
- Q1419000 wikiPageWikiLink Q857244.
- Q1419000 wikiPageWikiLink Q8819620.
- Q1419000 wikiPageWikiLink Q940913.
- Q1419000 comment "In engineering, an influence line graphs the variation of a function (such as the shear felt in a structure member) at a specific point on a beam or truss caused by a unit load placed at any point along the structure. Some of the common functions studied with influence lines include reactions (the forces that the structure’s supports must apply in order for the structure to remain static), shear, moment, and deflection.".
- Q1419000 label "Influence line".
- Q1419000 depiction Muller-Breslau_Principle_-_Influence_Lines.JPG.
