Question

Please use the numbers provided in the problem statement. Also, if you could show all formulas/equations used that would be great! Thank you so very much!

Please use the numbers provided in the problem statement. Also, if you could show all formulas used that would be great! Thank you so very much!

For vertical flexural member BD, determine the principal stresses o, i > ?p2) and the maximum shear stress ? as acting at point H as shown. Show these stresses in an appropriate sketch. Assume x1-73 in., e-12 in ., a-86 in., y1-95 in., c-48 in, b-22 in., P-34 kips, ? 57. tf-0.77 in., d-11 in., tw" 0.6 in, bf-11 in., h-2 in. Ca Vi Answers O, 114.806 op1 ksi 4.806 2.66

Answer 1

Moment of inertia about the z axis Consider the free body diagram sigma M_B = 0 F_DE (95) cos 52.46 + F_DE (12) sin 52.46 - 34 (70) cos 5 phi - 34 (86) sin 5 phi = 0 F_DE = 55.62 kips sigma F_x = 0 B_x - 55.62 cos 52.46 + 34 cos 57 = 0 B_x = 15.37 kip sigma F_y = 0 B_y - 55.62 sin 52.46 - 34 sin 57 = 0 B_y = 72.62 kip Internal forces at H sigma F_x = 0 B_x - V_H = 0 V_H = 15.37 kip sigma F_y = 0 F_H + B_y = 0 F_H = -72.62 kip sigma M_H = 0 M_H + B_x (22) = 0 M_H = -338.14 kip - in Axial stress at H A = 2 (11) (0.77) + (0.6) (11) = 23.54 in^2 sigma_axial = -72.62 /23.54 sigma_axial = 3.085 ksi (c) Shear stress at H