跟讀練習: How Shear Deflection Impacts Deep and Composite Beams. - 通過影片學習英語口語

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Welcome back to the channel.
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In today's video, we will be discussing the representation of frames by elements along the centerlines of their members,
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as well as the concept of shear deflection in beam deflection calculations.
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We will be exploring two specific examples, introducing a short, stiff horizontal member in a column connection
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and offsetting a smaller beam within the depth of a larger beam we will also be discussing composite frame analysis
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and the properties of composite sections transformed into equivalent steel sections
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finally we will delve into the effect of shear deflection on
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beam deflection including its importance in situations where beams are deep
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or in composite construction let's start by discussing the representation of frames by elements along the center lines of their members.
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Situations with discontinuities can arise as illustrated.
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One example is the introduction of a short, stiff horizontal member in the column connection, which may be rigidly connected,
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pinned at either end or centrally hinged.
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The choice of pin position affects the resulting bending moment's location and size, and it should be reflected in the connection design between the two sections.
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In many cases, designing the lower column for an additional bending moment
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and a nominally pinned connection from the upper column is appropriate.
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The second example involves the offset of a smaller beam within the depth of a larger beam.
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If the smaller beam remains within the larger beam's depth, it is not necessary to model the offset, provided that any actual loaves in the beams are small.
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Next, composite frame analysis.
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Composite frame analysis is typically done by considering a subframe,
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and the properties of composite sections must be transformed into an equivalent steel section.
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The redistribution of moments may depend on the method of analysis and section classification at the support.
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Figure 1 shows a suitable subframe for composite frame analysis,
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and figure 2 illustrates the relationship between composite section properties and steel section weight for initial analysis.
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Now let's talk about the concept of shear deflection, which occurs in addition to bending deflection as a result of shear strain in an element.
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The engineer's theory of bending commonly used to calculate deflections by hand ignores shear deflection.
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Neglecting shear deflection in beam deflection calculations is acceptable for non -composite beams of typical proportions used in conventional floors.
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However, in situations where beams are deep or in composite construction,
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shear deflection becomes a more significant proportion of the overall deflection.
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The deflection of castellated and cellular beams also includes a relatively large component due to the action of shear.
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If truss or virundial frames are modelled by beam elements in preparing scheme calculations,
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shear deflection must be included in deflection calculations because in this case it is a significant proportion of the total.
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Shear deflection will be taken into account in an analysis
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if the beam element used in modeling the structure is formulated to do so.
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The effect of shear deflection becomes more significant as beams become stocky or have a small span depth ratio.
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The following table shows the additional deflection due to shear as
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a percentage of the deflection due to bending for simply supported and cantilever eye section members.
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The contribution of shear deflection to the total deflection becomes important only in the case of stocky members
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and it is inversely proportional to the square of the span depth ratio.
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Plate girders typically have span depth ratios between 8 and 15,
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while span depth ratios for universal sections in building construction are around 20.
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At small span depth ratios, shear deflection may exceed deflection due to bending, but both are likely to be small.
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We hope you found this video informative and helpful.
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If you have any questions or comments, please leave them in the comments section below.
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Don't forget to hit the like button and subscribe to our channel for more informative videos.
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Thanks for watching, and we'll see you in the next one.

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