Use the Euler buckling equation to determine the load P.. at which the column buckles. Indicate whether the column buckles around the x or y axis. Sketch the buckled shape, and locate and label the inflection points on the sketch. The support at the top of the column allows displacement in only the z direction and allows rotation about only the x-axis. The pin support at the bottom of the column does not allow displacement in any direction but allows rotation around all axes. Use L = 40 in, b=0.375 in, h=0.3 in, and E = 10,000 ksi. Po h b 1P Per L x

For the beam and loading shown, use the double-integration method to determine (a) the equation of the elastic curve for the beam, (b) the maximum deflection, and (c) the slope at A. Assume that EI is constant for the beam. Let w = 14 kN/m, L = 4.5 m, E = 180 GPa, and I = 130 x 106 mm4. Part 1 Draw a free body diagram of the beam and solve the reaction forces Ay and By. Forces are positive upwards. Answer:Ay =        kNBy =        kN   Part 2 Cut a cross-section through the beam at any point and draw a free body diagram. Determine the internal bending moment M(x). The diagram shows M(x) in its positive direction. Your answer may be negative. Check your equation by solving for M at x = 2.3 m.Answer:M(x = 2.3 m) =      kN·m

Assume that M0 = 5.90 kip-ft and L = 3.20 ft. Determine the reaction force at B. Assume that EI is constant for the beam. (Reminder: The roller symbol implies that both upward and downward displacement is restrained.)

Assume that P = 23 kips and L = 5 ft. Determine the reaction force at C. Assume that EI is constant for the beam. (Reminder: The roller symbol implies that both upward and downward displacement is restrained.)