Reference no: EM132587893

Question 1 - The questions has several parts. Solve every part carefully.

Consider the lever with a solid circular cross section. BD is parallel to x axis and AB is along y axis. The lever has a diameter = 1.2 in a load P = 150 U_o is applied to one end of the lever at D (Parallel to z and perpendicular to x-axis).

1. The cross section containing the point H has center at C.

(i) Find the Torque (T) acting on member AB. Due to P.

(ii) This Torque would cause torsion of member AB. Which is turn would cause a shear stress (z_xy) at H. Find z_xy.

(iii) P will also produce a bending moment at the cross section. Find M_x.

(iv) M_x would lead to a normal stress (E_y) at H. Find E_y.

2. At point H

(i) Find principle stresses E_1,2.

(ii) Find orientation (Q_p) of principle plane with x and y axis.

(iii) Find maximum shear stress (Z_mx).

(iv) Draw Mohr's circle and show E_1,2, Q_p Z_max , Z_xy, E_y on the circle.

Question 2 - Draw bending moment shear force diagram?

Question 3 - Given Bar AD is rigid and suspended from four identical wires. Calculate the tension in each wire when a load P = 10 kN is applied at C.

Question 4 - Given figure

(a) Find the centroid of the cross section.

(b) Find the moment of inertia about the centroid.