Determine the allowable axial load PA for a W250 x 67 steel wide-flange colums 5 for the following les
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- A pinned-and column of a length L = 2A m is constructed of steel pipe (E = 210GPa) having an inside diameter d1= 60 mm and outside diameter d2= 68 mm (sec figure). A compressive load p = 10 kN acts with eccentricity e = 30 mm. What is the maximum compressive stress max in the column? If the allowable stress in the steel is 50 MPa, what is the maximum permissible length Lmaxof the column?A steel bracket of solid circular cross section is subjected to two loads, each of which is P = 4.5 kN at D (see figure). Let the dimension variable be b = 240 mm. Find the minimum permissible diameter dmaxof the bracket if the allowable normal stress is 110 M Pa. Repeat part (a), including the weight of the bracket. The weight density of steel is 77.0 kN/m3.AW310 × 74 wide-flange steel column with length L = 3.8 m is fixed at the base and free at the top (see figure). The load P acting on the column is intended to be centrally applied, but because of unavoidable discrepancies in construction, an eccentricity ratio of 0.25 is specified. Also, the following data are supplied: E = 200 GPa, y = 290 MPa, and P = 310 kN. What is the maximum compressive stress max in the column? What is the factor of safety n with respect to yielding of the steel?
- A copper bar AB with a length 25 in. and diameter 2 in. is placed in position at room temperature with a gap of 0.008 in. between end A and a rigid restraint (see figure). The bar is supported at end B by an elastic spring with a spring constant k= 1.2 × 106 lb/in. (a) Calculate the axial compressive stress crcin the bar if the temperature of the bar only rises 50 F. (For copper, use a = 9.6 × 10-6/ and E = 16 × 106 psi.) (b) What is the force in the spring? (Neglect gravity effects.) (c) Repeat part (a) if k ? 8.A sign for an automobile service station is supported by two aluminum poles of hollow circular cross section, as shown in the figure. The poles are being designed to resist a wind pressure of 75 lb/ft" against the full area of the sign. The dimensions of the poles and sign are hx= 20 ft, /r =5 ft, and h = 10 ft. To prevent buckling of the walls of the poles, the thickness e is specified as one-tenth the outside diameter d. (a) Determine the minimum required diameter of the poles based upon an allowable bending stress of 7500 psi in the aluminum. (b) Determine the minimum required diameter based upon an allowable shear stress of 300 psi.Around brass bar of a diameter d1= 20mm has upset ends each with a diameter d2= 26 mm (see figure). The lengths of the segments of the bar are L1= 0.3 m and L2= 0.1 m. Quarter-circular fillets are used at the shoulders of the bar, and the modulus of elasticity of the brass is E = 100 GPa. If the bar lengthens by 0.12 mm under a tensile load P, what is the maximum stress ??maxin the bar?
- A W14 × 53 wide-flange column of a length L = 15 ft is fixed at the base and free at the top (see figure). The column supports a centrally applied load = 120 kips and a load P2= 40 kips supported on a bracket. The distance from the centroid of the column to the load P2is s = 12 in. Also, the modulus of elasticity is E = 29,000 ksi, and the yield stress is y= 36 ksi. Calculate the maximum compressive stress in the column, Determine the factor of safety with respect to yielding.Column AB has a pin support at A,a roller support at B, and is compressed by an axial load P (see figure). The column is a steel W12 × 35 with modulus of elasticity E = 29,000 ksi and proportional limit pl = 50 ksi. The height of the column is L = 12 ft. Find the allowable value of load P assuming a factor of safety n = 2,5.A long re Lai nine: wall is braced by wood shores set at an angle of 30° and supported by concrete thrust blocks, as shown in the first part of the figure. The shores are evenly spaced at 3 m apart. For analysis purposes, the wall and shores are idealized as shown in the second part of the figure. Note that the base of the wall and both ends of the shores are assumed to be pinned. The pressure of the soil against the wall is assumed to be triangularly distributed, and the resultant force acting on a 3-meter length of the walls is F = 190 kN. If each shore has a 150 mm X 150 mm square cross section, what is the compressive stress
- A square wood column with side dimensions b (see figure) is constructed of a structural grade of spruce for which Ft. = 900 psi and E = 1,500,000 psi. An axial force P = 8.0kips acts on the column. If the dimension b = 3.5 in., what is the maximum allowable length Lmaxof the column? If the length L = 10 ft, what is the minimum required dimension bmin?A long slender column ABC is pinned at ends A and C and compressed by an axial force F (sec figure). At the midpoint B, lateral support is provided to prevent deflection in the plane of the figure. The column is a steel wide-flange section (W 250 × 67) with E = 200 GPa. The distance between lateral supports is L = 5.5 m. Calculate the allowable load P using a factor of safety n = 2.4, taking into account the possibility of Eu 1er buckling about cither principal centroidal axis (i.e., axis 1-1 or axis 2-2).A bracket ABCD having a hollow circular cross section consists of a vertical arm AB{L = 6 ft), a horizontal arm BC parallel to the v0 axis, and a horizontal arm CD parallel to the -0 axis (see figure). The arms BC and CD have lengths b}= 3.6 ft and b2= 2,2 ft, respectively. The outer and inner diameters of the bracket are d-, = 7,5 in. and dx= 6,8 in. An inclined load P = 2200 lb acts at point D along line DH. Determine the maximum tensile, compressive, and shear stresses in the vertical arm