Determine the equation of the influence line for the reaction at A in the continuous beam shown in Fig. P.20.18 and determine its value when a load of 30 kN/m covers the span AB. Ans. 3 fx 1 RA 10 - x)- 3 20.25 kN.

Q: The beam below is subjected to a moving concentrated live load of 130 kN, a moving uniformly…

A: A beam as shown is hinged at end A and roller support at D and F. A moving load of 130kN, UDL live…

Q: SITUATION 4: The beam shown in the figure carries a triangular load of 12 kN per meter at A to zero…

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Q: Determine the maximum upward reaction at E in kN a= 45 kN (concentrated load) b= 50 kN/m (uniformly…

A: Given data: wL=50 kN/mwd=23 kN/mP=45 kN

Q: Using the equilibrium method (write equations), draw the influence lines for the following response…

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Q: 3 kN/m A в -4m-

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Q: A simply supported beam has a span of 10m. A 7m long udl of 10 kN/m intensity crosses the beam from…

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Q: 3. Draw the Influence diagram of the given beam. A AMX 4m D 7m WX B 3m C A. Draw the influence line…

A: Given BeamSpanTo find out ILD for reaction at A and B and moment at DNoteWe will draw ILD using…

Q: If the roller at A and the pin at B can support a load up to 4kN and 8kN respectively, determine the…

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Influence Lines

The graphs that show the variation of a function at a specific point on a beam or truss due to a unit load placed at any point along the structure are known as influence lines in engineering. Some common functions that are studied with influence lines are shear, moment, and deflection. In designing beams and trusses, it is important to use influence lines in structures where loads would move along their span such as bridges, crane rails, conveyor belts, floor girders, etc. The influence lines help to study where a load will create the maximum effect for any of the functions.