A horizontal bar is attached to a wall. When a force of 1 kN is applied at point A (figure 1) , the deflection at point A is δAA = 0.37 mm . When a 1 kN force is applied at point B (Figure 2), the deflection at point A is δAB = 0.2 mm . A) What is the change in the length of the bar if there is a single load of 5.2 kN applied to the right at point A? B) What is the change in the length of the bar if a load of 3.4 kN is applied to the left at A and a load of 10.4 kN is applied to the right at B? C) If  a load of 5.2 kN is applied to the right at point B, then what load magnitude must be applied to the left at point A to make the length of the

The frame shown in Figure 3.1 has internal pins at points B, C and D and is supported by a pin at point A and a roller at point E. The loading consists of two concentrated loads and a point moment, as shown in the figure. a) Calculate the support reactions at points A and E. A 6 in. B -9 -9 in. →✦9 in. →✦9 in. →| 500 lb 700 lb ←9 in. D E Figure 3.1 - Compound Frame 2 kip-in 12 in. 12 in.

A long, slender structural aluminum [E = 69 GPa] flanged shape is used as a L = 9.2-m-long column. The column is supported in the x direction at base A and pinned at ends A and C against translation in the y and z directions. Lateral support is provided to the column so that deflection in the x-z plane is restrained at mid-height B; however, the column is free to deflect in the x-y plane at B. Assume that b; = 102 mm, d = 122 mm, t; = 8 mm, and tw = 6 mm. Determine the maximum compressive load P the column can support if a factor of safety of 2.9 is required. In your analysis, consider the possibility that buckling could occur about either the strong axis (i.e., the z axis) or the weak axis (i.e., the y axis) of the aluminum column. P bf C d Lateral В bracing 2 Determine the moment of inertia with respect to the y and the z axes through the centroid of the cross section area. Answers: ly = i mm“, Iz = i mm4.

Consider the steel truss and member cross-section presented in figures below. All the members of the truss have the same cross-section as shown in the figure to the right. They all also have a Young's Modulus of 210 GPa. What can the highest value of force F be before member AC fails by buckling? Force 1AN - 300 mm 40° 4 m $35 mm 7m 300 mm 8 m 35 mm 35 mm 35 mm Please provide your answer in kN.