Combined Axial and Bending

Problem 920
A compressive load P = 100 kN is applied, as shown in Fig. 9-8a, at a point 70 mm to the left and 30 mm above the centroid of a rectangular section for which h = 300 mm and b = 250 mm. What additional load, acting normal to the cross section at its centroid, will eliminate tensile stress anywhere over the cross section?
 

Problem 918
A compressive load P = 12 kips is applied, as in Fig. 9-8a, at a point 1 in. to the right and 2 in. above the centroid of a rectangular section for which h = 10 in. and b = 6 in. Compute the stress at each corner and the location of the neutral axis. Illustrate the answers with a sketch.
 

Consider the cross-section below. A compressive load P is applied at any point (e_x, e_y) with respect to the principal axes x and y. The moment of P about these axes are respectively
 

Problem 917
For the structure in Problem 916, calculate the maximum compressive stress in bar ABC if its cross section is 200 mm square.
 

Problem 916
For the structure shown in Figure P-916 is hinged to fixed supports at A and E. Compute the maximum compressive stress developed in bar BDE if its cross section is 200 mm square. Neglect the weights of the members.
 

Problem 915
For the structure in Problem 914, compute the maximum tensile stress developed in bar CB.
 

Problem 914
The structure shown in Figure P-914 is hinged to fixed is hinged to fixed supports at A and C. Assume that the pin connections at A, B, and C are frictionless. The bars are each 4 in. by 4 in. in section. Compute the maximum compressive stress developed in bar AD.
 

Problem 913
Solve Problem 912 if P = 6 kips and F = 10 kips.