Problem 1. Calculate the maximum LRFD support reaction for the beam shown below that is subjected to roof live load, L„ snow load, S, live load (derived from less than 100 psf), L, and dead load, D. Show all calculations on a separate sheet. Calculations must be provided for credit.

Problem 2. Draw all required free body diagrams and write the shear fimction and moment function for the entire length of the beam shown in Q above. Simplify the expressions by collecting terms. Show all calculations on a separate sheet.

Problem 3. Draw the shear and moment diagrams for the beam in figures b), c), e), and 0 above. Label critical points of shear and moment on the diagrams. All diagrams must be drawn to scale with a straight edge and proper curvatures for full credit.

Problem 4. Draw the moment diagram for the frame shown below. Follow the conventions discussed in the lectures. Show all calculations for credit.

Problem 5. Pans a) through h) refer to the following structure. Draw the influence lines for parts a) through f) on the following page worksheet. Clearly label the part a) through part 0 influence line magnitudes for points A, B, C, D, E, F, and G, even if that magnitude is zero (quantitative, not qualitative influence lines).

Part a) Draw, to a reasonable scale, the influence line for the reaction at A for the beam shown above. Label all critical values for points A, B, C, D, E, F, and G on the I.L.

Part b) Draw, to a reasonable scale, the influence line for the reaction at E for the beam shown above. Label all critical values for points A, B, C, D, E, F, and G on the I.L.

Part c) Draw, to a reasonable scale, the influence line for the moment at B for the beam shown above. Label all critical values for points A, B, C, D, E, F, and G on the I.L.

Part d) Draw, to a reasonable scale, the influence line for the moment at F for the beam shown above. Label all critical values for points A, B, C, D, E, F, and G on the I.L.

Part e) Draw, to a reasonable scale, the influence line for the shear at F for the beam shown above. Label all critical values for points A, B, C, D, E, F, and G on the I.L.

Part I) Draw, to a reasonable scale, the influence line for the shear at C for the beam shown above. Label all critical values for points A, B, C, D, E, F, and G on the I.L.

Part g) Determine, using an influence line, the maximum downward reaction (4) at A due to a 2 kips/ft live load for the beam shown above.

Part h) Determine, using an influence line, the maximum shear at F for the beam shown above due to the truck shown below. The truck can travel left-to-right (as shown) or right-to-left. Clearly indicate, with a drawing, the truck position on the structure that results in the max mum shear at F.