KIC000124

KIC000124 - the angles between the tangent of the deflect...

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Qualitative Influence Lines and Loading Patterns for an Indeterminate Frame problem statement Using the MUlier Breslau Principle, draw the influence lines for the moment and shear at the midspan of beam AB, and the moment at B in member Be. Draw the loading cases to give the maximum positive moment at the midpsan of beam AB, the maximum and minimum shear at the midspan of beam AB, and the maximum negative moment at B in member BC in the indeterminate frame below. B C D r'7 r: '7 T. ~ 1l '7 A Influence lines Influence line for moment at midspan of AB, and the loading case for maximum positive moment at this location. The influence line for beam ABCD can be constructed by following the procedure outlined in the Multi-span Indeterminate Beam example. To construct the rest of the influence line, make use of the fact that the angles between a column and a beam after deformation must be equal to that before deformation. In this example, these angles are 90°. Therefore, once the deflected shape of beam ABCD is determined, the deflected shape for the columns can be constructed by keeping
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Unformatted text preview: the angles between the tangent of the deflect shape of the beam and the column equal to 90 (see Figure 2). To get the maximum positive result for the moment, apply a distributed load at all locations where the value of the influence line is positive (see Figure 3). _ --,r---__ 1 .. \-" . , 1 \, I I I Ii, ~I I, I / I , _. .. /~+ II' .~-. J I-------J B(--. C'I 01 , ) I ! I \ \ J I .--..--.. J \ , . " , .-I I I I I I I I I I I I n rt7 T:t7 A Influence line for shear at the midspan of member AB, and the load case for maximum positive shear at this location.-.---~ I---"--_. , I I I I I I I I I I , , , , I ,-0. f I---f AI-.. Bi--t \ 01 I I , I I I I \ \ I I , J '. + ,---. .--"---Influence line for moment at B in member Be, and the load case for maximum negative moment at this location. ~ ~---./" (--I 1\ I 11 .___-1----11 ~~------c DI I I t (----=------,--~-,. .,. f--_._----I I I I i I I 11f7 11f7 11f7 1': " A A...
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KIC000124 - the angles between the tangent of the deflect...

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