Determine the critical buckling load of the member.
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- A fixed-end column with circular cross section is acted on by compressive axial load P. The IS-ft-long-column has an outer diameter of 5 in., a thickness of 0.5 in., and is made of aluminum with a modulus of elasticity of 10,000 ksi. Find the buckling load of the column.A cantilever aluminum column has a square tube cross section with an outer dimension of 150 mm. The column has a length L = 4 m and is designed to support an axial load of 45 kN. Find the minimum required thickness of the section if the factor of safety n = 2.5 with respect to buckling. Assume that the modulus of elasticity is 72 GPa and the proportional limit is 480 MPa.5. Determine the greatest load P the frame will support without causing the A-36 steel member BC to buckle. Due to the forked ends on the member, consider the supports at B and C to act as pins for x-x axis buckling and as fixed supports for y-y axis buckling. Given E = 200 Gpa. -1.2 m- -1.2 m- 0.9 m 75 mm 25 mm Figure 5
- A long, slender structural aluminum [E = 69 GPa] flanged shape is used as al = 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 L d Lateral B bracing LDetermine the critical axial buckling load for an 8 3/4 x 12 inches glue-laminated column braced at 10ft from the bottom in the y axis for a total height of 25ft. Assume pin connections at top and bottom. Fc= 1750 psi, E= 1.8x106 psi. (Western cross-section glu-lam data is in the text).An aluminum alloy tube with an outside diameter of 3.1 in. and a wall thickness of 0.36 in. is used as a 16-ft-long column. Assume that E = 9300 ksi and that pinned connections are used at each end of the column. Determine the slenderness ratio L/r and the Euler buckling load Per for the column. Answers: L/r= Por= kips
- 3. A steel bolt and nut are tightened around an aluminum sleeve. Find the internal forces as the nut is rotated 1 turn (1 turn = 1.5 mm) given the cross sectional areas and the moduli of elasticity for the steel and the aluminum. AST = 150 mm? EST = 200 GPa EAL = 70 GPa AAL = 100 mm? L=150 mm AST Final 1.5 mm Position Al7 ft 5 ft The assembly shown above includes column AB, which has the following properties: Pinned (top and bottom) for buckling about x-axis Free at top and fixed at bottom for buckling about y-axis Circular cross-section with 8-inch diameter E = 10000 ksi Which of the following is closest to the critical buckling force of column AB? O Per = 269 kip O Per = 1080 kip O Per = 538 kip O Per = 135 kipProblem 6 3-7. A structural member in a nuclear reactor is made of a zirconium alloy. If an axial load of 4 kip is to be supported by the member, determine its required cross-sectional area. Use a factor of safety of 3 relative to yielding. What is the load on the member if it is 3 ft long and its elongation is 0.02 in.? E = 14(10) ksi, y Ez = 57.5 ksi. The material has elastic behavior.
- The horizontal link BC is 1/4 in. Of thickness and width w = 1.25 in., It is made of steel with an ultimate tensile strength of 65 ksi. What is the factor of safety if the structure shown was designed to support a load P 10 kips?kips. Determine the Euler Buckling axial compressive load of W 12 x 72 section having a length of L=48 ft and fixed ends, Pe= Assume that the column is made of A441 steel with E = 29 x 103 ksi, and assume that the normal stress generated by P is still within the elastic range of the material. Reminder: use the minimum moment of inertial of the cross section. Please calculate your answer to 1 decimal place. Lft Fixed end Fixed endMember AB is d = 6.5 m long, made of steel, and is pinned at its ends for y-y axis buckling and fixed at its ends for - axis buckling. Est = 200 GPa, oy = 360 MPa. Part A Determine the maximum load P the frame can support without buckling member AB. Express your answer to three significant figures and include appropriate units. μA Value Submit Units Request Answer ? 4 m -3m-4 F 50 mm x+x 50 mmH s 50 mm