GIVEN THE STATICALLY DETERMINATE PROPPED BEAM AS SHOWN BELOW WITH INTERNAL HINGED AT POINT B. THE UNIFORMLY VARYING LOAD IS 10 N/M AT POINT C. DETERMINE THE FOLLOWING: A.) THE MOMENT REACTION AT POINT A. B.) THE EXTERNAL REACTION AT POINT A. c.) THE INTERNAL REACTION AT POINT B. D.) THE EXTERNAL REACTION AT POINT 10 N/m A B 1.8 m -1.2 m

Q: (a) determine the max. moment due to loads at C  (b) determine max positive V at C

A: Using ILD calculation of -

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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.