Problem 1 Blocks A and B have a mass of 25 kg and 10 kg, respectively, as shown in Fig. 1. There are pulleys at C and D. Using the coefficients of static friction indicated, (a) (b) (c) Draw the free-body diagrams of blocks A and B. Determine the largest force P which can be applied to the cord without causing motion. Would block B tilt before sliding occurs if P is increased further? 300 mm B 400 mm A D MAB = 0.3 == PA = 0.1 Fig. 1 P

For the beam shown: (a) determine the distance a for which the maximum positive and negative bending moments in the beam are equal; and (b) draw the corresponding shear and bending moment diagrams for the beam.

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

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?