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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. P1 P2 P3 AM B clit D 4m 4m 2m Truck wheel loads: P1 = 133 P1 P2 P3 P2 = 108 P3 = 58 2m 3m
analyze as continuous beam ELEVATION L L1 L L1 Span 1 Span 2 Span 3 Span 4 H110 abutment pier USING THREE-MOMENT EQUATION: 2. Analyze the bridge shown in the figure above. Using influence diagrams, it has been determined that in order to produce the maximum positive moment in Span 2, a uniform load, w must be loaded fully in Spans 2 and 4. Determine the reactions at the pier supports (assume abutments to be roller supports and piers to be pin supports) and draw the shear and moment diagrams. 3. Analyze the same bridge with the uniform load, w fully loaded in spans 2 and 3. Determine the reactions and draw the shear and moment diagrams. Assume: w = 7 L=11 L1-6
4. Solve for the support reactions of the beam shown below using SDM. Assume beam is prismatic and homogeneous. (25 points) Draw the shear and moment diagram 43KN 7 kN/m AM BTT С TTIT 10m 5m 5m