KIC000120

KIC000120 - CE 332 Introduction to Influence Lines(Ch 6 in...

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CE 332 - Introduction to Influence Lines (Ch, 6 in Hibbeler) What is an influence line? A diagram used when you have movable (i.e. live) loads that shows the effect of the location of that movable load on a specified: Reaction Moment at a given point Shear at a given point Axial force at a given point Deformation at a given point An influence line is simply a graph. For each point on the graph (X"Yl), the x value is the location on the beam of a concentrated, unit force. The corresponding Yvalue (Yl) is the value of the function for which the influence line is made when the unit force is located at XL· Influence lines help us determine where live loads should be placed on a structure to create the maximum reaction, shear, moment or axial force at a specific location that a structure will experience. Example: Calculate the Influence Line for the vertical reaction (R.J at A due to the point live1oad, P. For convenience, set P = t. C A B LI ~/------tl ,- I I L e
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Apply a unit load at various locations on the structure and calculate RAfor each: Load at A: R A = I x R Load halfway between A and B: RA = 0.5 o U2 L L+e I 0.5 o -elL Load at B: RA= 0 Load at C: EMB: I(e) + RA(L) = 0 -+ RA= -elL Connect the points to get the Influence Line. I C-A------======:n:r:r=:::::::=:I C f; ] -elL B NOTE: Influence lines are not moment diagrams, shear diagrams, axial diagrams, or deflected shapes. Influence
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KIC000120 - CE 332 Introduction to Influence Lines(Ch 6 in...

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