The compound beam shown in Figure 2.1 has an internal hinge at point B. It is fixed (clamped) at point C and supported by a roller at point A. The length of each segment is shown in the figure. The beam is carrying a distributed load on segment AB and a concentrated load at point E. Take 4w₁ 2w2 = 8 kip/ft. = b) Calculate the internal resultant loadings (normal and shear forces and bending moment) at point D and at the midpoint of segment BE. W2 -6 ft- D hinge 6 ft W₁ - B -4 ft 5 kip + Figure 2.1 Compound beam E 4 ft

A thin beam with a solid rectangular cross-section is loaded as shown in Figure Q7 below. W W L/3 L/3 L/3 Figure Q7 What is the ratio of the maximum to nominal shear stress for the beam described in Question 7? O a. 3:2 O b. 1:4 Ос. 3:1 O d.2:1 O e. 1:2 O f. None of the provided answers are correct. O 8. 1:1

The fixed-end bar ABCD consists of three prismatic segments, as shown in the figure. The end segments have cross-sectional area A1 = 840 mm2 and length L1 = 200 mm. The middle segment has cross- sectional area A2= 1260 mm? and length L2 = 250 mm. Loads Pg and Pc are equal to 25.5 kN and 17.0 kN, respectively. (a) Determine the reactions RA and Rp at the fixed supports. (b) Determine the compressive axial force FBC in the middle segment of the bar. A1 - A2 A1 PB Pc A D B L -L1

9. A single horizontal force P of magnitude 900N is applied to end D of lever ABD shown in the figure below. Knowing that portion AB of the lever has a diameter 36mm, determine a) the normal and shearing stresses on an element located at point H and having sides parallel to the x and y axes, b) the principal planes and the principal stresses at point H. 300 mm 120 mm y B H A 540 mm 36 mm P D