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CE 160 Influence Line Lab Problem
The beam shown is pin supported at point A; roller supported at points B, D, and F (note that roller supports resist movement both up and down); and has internal hinges at points C and E.
1. Construct the influence line for the vertical support reaction at the roller at point B. Take support reaction upward as positive.
2. Construct the influence line for the vertical support reaction at the roller at point F. Take support reaction upward as positive.
3. Construct the influence line for the internal shear at point X. Use the “usual” Civil Engi neering sign convention for positive shear.
4. Construct the influence line for the internal bending moment at point X. Use the “usual” Civil Engineering sign convention for positive bending moment.
5. Using the influence line for the internal bending moment at point X, find the maximum positive moment at point X for a uniformly distributed live load of 1.8 k/ft and a uniform dead load of 0.4 k/ft.
5. The maximum positive bending moment at X for the given dead load and live load is: