Question (1): Draw the shearing force and bending-moment diagrams for the beam and loading shown, Determine: (a) The maximum absolute value of the shearing force, 2ft (b) The max positive bending moment, B.M. (c) The max negative bending moment, B.M. P = 15 kips Max Shearing Force = . w=8 kips/ft M=25 kip.ft Max Positive B.M. A 16 ft 2f2f2ft B2 B Max Negative B.M. =

A beam is part of the framing system for the floor of an office building. The floor is subjected to both dead loads and live loads. The maximum moment caused by the service dead load is 45 ft-kips, and the maximum moment for the service live load is 63 ft-kips (these moments occur at the same location on the beam and can therefore be combined). a. If load and resistance factor design is used, determine the maximum factored bending moment (required moment strength). What is the controlling AISC load combination? b. What is the required nominal moment strength for a resistance factor of 0.90? c. If allowable strength design is used, determine the required moment strength. What is the controlling AISC lead combination? d. What is the required nominal moment strength for a safety factor of 1.67?

Refer to Figure P6.4. A strip load of q = 900 lb/ft2 is applied over a width B = 36 ft. Determine the increase in vertical stress at point A located z = 15 ft below the surface. Given: x = 27 ft. Figure P6.4