P1 = 130, P2 =105, P3 = 55 1. A small bridge is carrying a truck moving from left to right. Using influence lines for beams: a. Compute the max. ordinate of the influence line to obtain max positive moment at point B. b. Compute the position of P1 from point A to produce maximum positive moment at B. c. Compute the maximum positive moment at B due to the series of concentrated loads. Truck wheel loads: P1 P2 P3 P1 P2 P3 A 4m 4m 2m 2m 3m

Q: A propped cantilever beam ABC carries a concentrated point load of 10 kN and a 2 kNm moment at point…

A:

Q: The influence line for the reaction at B for the beam shown changes curvature between A and B;…

A: Given that there is curvature change between points A and B.

Q: PL. (kN) m.Im wdl (kN/m) wll (kN/m) A 3m B TWIT 3m 6m D

A: Draw the ILD for shear at point C by using Muller Breslau principle( provide unit separation between…

Q: Illustrate the Influence Line and calculate the maximum positive live shear at point C in kN…

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Q: P12.6. For the beam in Figure P12.6, draw the influence lines for reactions at B, C, E, and G, and…

A: Given continuous beam and Uniform load of 2 kips/ft is applied over the entire length of the beam.It…

Q: Draw the shear force and bending moment diagram for the beam

A: The following figure shows the Free Body Diagram of the beam.

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.