Draw the influence lines for the following using the coordinates (basic method) or using the Muller-Breslau principle, show the value of the ordinates. 1. Vertical reaction at A 2. Vertical reaction at B 3. Shear at C 4. Moment at C 5. If there is a moving 10KN concentrated load along the beam, what would be the maximum value of the vertical reaction at A? 6. If there is a moving 10KN concentrated load along the beam, what would be the maximum value of the shear at C? 7. If there are moving loads, 10KN concentrated load and 2KN/m uniformly distributed live load, what would be the maximum value of moment at C? IL(1).png B C -2 m 6 m

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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.