For the given frame below: a) Form the structural stiffness matrix [K] using the general stiffness method and the load vector {Q}. Consider the degrees of freedom indicated below (Note: Eliminate the degree of freedom 3 by using the modified stiffness relation for the member 2-3) b) Calculate the structural displacements [D]. c) Draw the internal force diagrams.

The soil profile at a site is shown Figure P16.3. Find the total horizontal normal stresses at A and B, assuming at-rest conditions.

A 9 ft wide and infinitely long flexible strip load of 800 lb/ft2 is placed on an elastic medium as shown in Figure P8.7. Find the vertical stress increase at points A, B, and C located 3 ft below the surface.

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?

Solve Problem 15.4 for the loading shown in Fig. P15.4 and the support settlements of 1 in. at B and 14 in. at C. FIG. P15.4, P15.7