A plastic bar ACB having two different solid circular cross sections is held between rigid supports as shown in the figure. The diameters in the left and right parts are 50 mm and 75 mm, respectively. The corresponding lengths are 225 mm and 300 mm. Also, the modulus of elasticity E is 6.0 GPa, and the coefficient of thermal expansion is 100 x10%C°. The bar is subjected to a uniform temperature increase of 30°C.Calculate the following quantities: (a) the compressive force P in the bar. (b) the maximum compressive stress sc. (c) the displacement of point C.

Cylinders 1 and 2 are glued as shown in the figure. The tensile strength of the glue is 24 MPa, its shear strength is 18 MPa. The glue is evenly distributed over the cylinder with a diameter of 30 mm and an unknown length L. The force F supported by the assembly is 2,600 daN. Calculate the minimum length L to give to the glued joint of the assembly.

Consider a one-element triangular mesh shown in Figure 2. The edge AC is fixed. The edge BC is subject to lin- early varying traction normal to the edge as shown in Figure 2. Assume plane-stress conditions with thickness 1 = 1 cm and Young's modulus E = 70 GPa and Poisson's ratio v = 0.3. 150 kN/m 50 kN/m C (0,0.3) B (0.4,0.3) a) Specify the boundary condi- tions. b) Construct the stiffness matrix. A (0,0) c) Calculate the global force ma- Figure 2: Triangular element. All coordinates are in meters. trix. d) Solve for the unknown displace- ments and compute the stress at (0.1, 0.2).

A rigid bar ACE is supported by three vertical wires and is initially horizontal, as shown in the figure. Then, a force P is applied at the center of the bar. All wires are made from the same material with modulus of elasticity E = 200 GPa and have the same cross-sectional area, A = 10 mm². You may assume that the deformations are small and that the stresses are within the elastic range for this problem. 1.5 m A D F 1.0 m 1.0 m H C E P A 2.0 m Figure 3.1: Rigid bar supported by three vertical wires a) Find the normal stresses and the axial displacements in the wires if P = 15 kN. b) Knowing that AB is the critical wire, and its yield stress is oy maximum P that can be applied. = 1500 MPa, find the

The stress-strain plot of the polyester resin material is given in the figure. The AC beam is supported by the AB rod and CD column made of this material and is subjected to a single load of P = 80 kN. As the diameter of AB rod is 40mm and diameter of CD column is 80mm(a) What is the modulus of elasticity? Calculate the elasticity coefficient of the material whose stress-strain graph is given.(b) Find the slope of the AC rod after loading.

Solve the following problems The composite bar in the figure is made of two segments AB and BC, having a diameter of 12 mm and 8 mm respectively. The you modulus of elasticity EAB = 90 GPa and EBC= 80GPA Critically evaluate the deformation of the bar shown under the given loads. the missing force F1 55KN. F=40KN kN 4m 4.2m

Solve the following problems The composite bar in the figure is made of two segments AB and BC, having a diameter of 12 mm and 8 mm respectively. The you modulus of elasticity EAB = 90 GPa and EBC= 80GPA Critically evaluate the deformation of the bar shown under the given loads. the missing force F1 624KN. F=40KN kN B 4m 4.2m

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Find the correct solution for the given question,ASAP

A compression member constructed from steel rod (E = 200 GPa, v = 0.25) has outside diameter of 82 mm. What axial force P will cause the outside diameter to increase by 0.0087 mm? Assume that the material behaves linear elastically.