1. A high-density polyethylene, E = 131 ksi and a = 63 × 10-6/°F , block (1) is positioned in a fixture. The block is 2.9 in. by 2.9 in. by 30 in. long. At room temperature, a gapof 0.11 in. exists between the block and the rigid support at B. Assume L1 = 30 in and A = 0.11 in. Determine: (a) the normal stress o in block (1) caused by a temperature increase of 93°F. (b) the normal strain e in block (1) at the increased temperature.

Two cables are tied together at C and are loaded as shown. Knowing that P = 500 N and a =determine the tension in (a) in cable AC, (b) in cable BC.60°, N= T_{A}= 3) The tension in the cable BC is \mathrm{T}_{\mathrm{B}}=

1. Classify each of the structures as statically determinate, statically indeterminate, stable, or unstable. If indeterminate, specify the degree of indeterminacy. (22 pts.)

8-3. Determine the vertical displacement of joint C.Assume the members are pin connected at their end points.Take A = 200 mm? and E = 200 GPa for each member.Use the method of virtual work.

10-6. Determine the moments at A, B, C, and D, then draw the moment diagram for the beam. Assume the supports atA and D are fixed and B and C are rollers. El is constant.

The roof system of an office building consists of a 4 in. thick reinforced concrete slab resting on four steel beams (A = 16.2 in.2), which are supported by two steel girders (A = 42.9 in.2). The girders, in turn, are supported by four columns, as shown in Fig. P2.8. Determine the dead loads acting on the girder AG.

Determine the reactions at the supports, then draw the moment diagram. The moment of inertia for each segment is shown in the figurc. Assume A and C are rollers and B is a pin. Take E=200 GPa.

7.10 through 7.12 Determine the smallest cross-sectional area A required for the members of the truss shown, so that the horizontal deflection at joint D docs not exceed 10 mm.Use the virtual work method.

Q2. A simply supported beam, Figure 2a, with a cross-section shown in Figure 2b, is supportinga punctual load in the middle of its span. . Determine the reactions of the beam at the supports A and B b. Determine the maximum shear force sketching the shear force diagram c. Determine the moment of inertia, I, of the section Determine the values of the maximum shear stresses in the cross-section and sketch the diagram showing the values calculated(10 marks)

Determine the maximum load that can be allowed on a450 mm diameter driven pile shown in Figure P12.6, allowing a factor of safety of 3. Use K = 1.5 K, and delta' in =0.65 phi in computing the shaft load use meyerhof method for computing the point load.

13.37 through 13.45 Determine the reactions and draw the shear and bending moment diagrams for the structures shown in Figs. P13.37-P13.45 using the method of consistent deformations.