2.99 See Answer

Question: A space truss is restrained at joints

A space truss is restrained at joints O, A, B, and C, as shown in the figure. Load P is applied at joint A and load 2P acts downward at joint C. Each member is a slender, circular pipe (E = 10,600 ksi) with an outside diameter of 3.5 in. and wall thickness of 0.25 in. Length variable L = 11 ft. Determine the critical value of load variable P (kips) at which member OB fails by Euler buckling.
A space truss is restrained at joints O, A, B, and C, as shown in the figure. Load P is applied at joint A and load 2P acts downward at joint C. Each member is a slender, circular pipe (E = 10,600 ksi) with an outside diameter of 3.5 in. and wall thickness of 0.25 in. Length variable L = 11 ft. Determine the critical value of load variable P (kips) at which member OB fails by Euler buckling.





Transcribed Image Text:

2P Cx 0.6L Ox 0,8L- B Ax By


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> A pinned-end strut of a length L = 5.2 ft is constructed of steel pipe (E = 30 × 103 ksi) having an inside diameter d1 = 2.0 in. and outside diameter d2 = 2.2 in. (see figure). A compressive load P = 2.0 kips is applied with eccentricity e =

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> A wood post with a rectangular cross section (see figure) is constructed of structural grade, southern pine lumber (Fc = 14 MPa, E = 12 GPa). The cross-sectional dimensions of the post (actual dimensions) are b = 100 mm and h = 150 mm. Determine the allo

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> A solid round bar of aluminum having diameter d (see figure) is compressed by an axial force P = 10 kips. The bar has pinned supports and is made of alloy 6061-T6. (a) If the diameter d = 1.0 in, what is the maximum allowable length Lmax of the bar? (b)

> A solid round bar of aluminum having diameter d (see figure) is compressed by an axial force P = 175 kN. The bar has pinned supports and is made of alloy 2014-T6. (a) If the diameter d = 40 mm, what is the maximum allowable length Lmax of the bar? (b) If

> A solid round bar of aluminum having diameter d (see figure) is compressed by an axial force P = 60 kips. The bar has pinned supports and is made of alloy 2014-T6. (a) If the diameter d = 2.0 in, what is the maximum allowable length Lmax of the bar? (b)

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> An aluminum pipe column (alloy 6061-T6) that is fixed at the base and free at the top has an outside diameter d2 = 3.25 in and inside diameter d1 = 3.00 in (see figure). Determine the allowable axial load Pallow for each of the following lengths: L = 2 f

> An aluminum pipe column (alloy 2014-T6) with pinned ends has an outside diameter d2 = 120 mm and inside diameter d1 = 110 mm (see figure). Determine the allowable axial load Pallow for each of the following lengths: L = 1.0 m, 2.0 m, 3.0 m, and 4.0 m.

> An aluminum pipe column (alloy 2014-T6) with pinned ends has an outside diameter d2 = 5.60 in and inside diameter d1 = 4.80 in (see figure). Determine the allowable axial load Pallow for each of the following lengths: L = 6 ft, 8 ft, 10 ft, and 12 ft.

> Determine the allowable axial load Pallow for a W10 × 60 steel wide-flange column with pinned ends (see figure) for each of the following lengths: L = 10 ft, 20 ft, 30 ft, and 40 ft. (Assume E = 29,000 ksi and σY = 36 ksi.) A

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> Determine the allowable axial load Pallow for a W10 × 45 steel wide-flange column with pinned ends (see figure) for each of the following lengths: L = 8 ft, 16 ft, 24 ft, and 32 ft. (Assume E = 29,000 ksi and σY = 36 ksi.) A

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> A fixed-end column with circular cross section is acted on by compressive axial load P. The 18-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 loa

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> A steel pipe column with pinned ends supports an axial load P = 21 kips. The pipe has outside and inside diameters of 3.5 in. and 2.9 in., respectively. What is the maximum permissible length Lmax of the column if E = 29,000 ksi and σY = 36ksi?

> Determine the maximum permissible length max L for a steel pipe column that is fixed at the base and free at the top and must support an axial load P = 500 kN (see figure). The column has an outside diameter d = 200 mm, wall thickness t = 10 mm, E = 200

> The plane truss shown in the figure supports vertical loads F at joint D, 2F at joint C, and 3F at joint B. Each member is a slender circular pipe (E = 70GPa) with an outside diameter of 60 mm and wall thickness of 5 mm. Joint B is restrained against dis

> An S6 × 12.5 steel cantilever beam AB is supported by a steel tie rod at B as shown. The tie rod is just taut when a roller support is added at C at a distance s to the left of B, then the distributed load q is applied to beam segment AC. A

> A truss ABC supports a load W at joint B, as shown in the figure. The length L1 of member AB is fixed, but the length of strut BC varies as the angle u is changed. Strut BC has a solid circular cross section. Joint B is restrained against displacement pe

> The truss ABC shown in the figure supports a vertical load W at joint B. Each member is a slender circular steel pipe (E = 30,000ksi) with an outside diameter of 4 in. and wall thickness 0.25 in. The distance between supports is 23 ft. Joint B is restrai

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> A pinned-end strut of aluminum (E = 10,400ksi) with a length L = 6 ft is constructed of circular tubing with an outside diameter d = 2 in. (see figure). The strut must resist an axial load P = 4 kips with a factor of safety n = 2.0 with respect to the cr

> Determine the maximum permissible length Lmax for a steel pipe column that is fixed at the base and free at the top and must support an axial load P = 40 kips (see figure). The column has an outside diameter d = 4.0 in, wall thickness t = 0.226 in, E = 2

> Determine the allowable axial load Pallow for a W310 × 129 steel wide-flange column with pinned ends (see figure) for each of the following lengths: L = 3 m, 6 m, 9 m, and 12 m. (Assume E = 200 GPa and σY = 340 MPa.) A L A Se

> Segments AB and BCD of beam ABCD are pin connected at x 5 10 ft. The beam is supported by a pin support at A and roller supports at C and D; the roller at D is rotated by 308 from the x axis (see figure). A trapezoidal distributed load on BC varies in in

> Segments AB and BCD of beam ABCD are pin connected at x = 4 m. The beam is supported by a sliding support at A and roller supports at C and D (see figure). A triangularly distributed load with peak intensity of 80 N/m acts on BC. A concentrated moment is

> Segments AB and BC of beam ABC are pin connected a small distance to the right of joint B (see figure). Axial loads act at A and at the mid-span of AB. A concentrated moment is applied at joint B. (a) Find reactions at supports A, B, and C. (b) Find inte

> Find support reactions at A and B and then calculate the axial force N, shear force V, and bending moment M at mid-span of AB. Let L = 4 m, q0 = 160 N/m , P = 200 N, and Mo = 380 Nm?. Mo B L/2

> Find support reactions at A and B and then calculate the axial force N, shear force V, and bending moment M at mid-span of AB. Let L = 14 ft, qo 512 lb/ft, P = 50 lb, and M0 = 300 lb-ft. Mo 4 B 3 C L L/2 A

> Two separate cables AC and BC support a sign structure of weight W = 1575 lb attached to a building. The sign is also supported by a pin support at O and a lateral restraint in the z-direction at D. (a) Find the tension in each cable. Neglect the mass of

> A round bar ABC of length 2L (see figure) rotates about an axis through the midpoint C with constant angular speed ω (radians per second). The material of the bar has weight density g. (a) Derive a formula for the tensile stress x s in the bar

> Two gondolas on a ski lift are locked in the position show in the figure while repairs are being made elsewhere. The distance between support towers is L 5100 ft. The length of each cable segment under gondolas weighing WB = 450 lb and WC =650 lb are DAB

> A crane boom of mass 450 kg with its center of mass at C is stabilized by two cables AQ and BQ (Ae = 304 mm2 for each cable) as shown in the figure. A load P = 20 kN is supported at point D. The crane boom lies in the y-z plane. (a) Find the tension forc

> An L-shaped reinforced concrete slab 12 ft × 12 ft, with a 6 ft × 6 ft cut-out and thickness t = 9.0 in, is lifted by three cables attached at O, B, and D, as shown in the figure.

> A cable and pulley system at D is used to bring a 230-kg pole (ACB) to a vertical position, as shown in the figure part a. The cable has tensile force T and is attached at C. The length L of the pole is 6.0 m, the outer diameter is d = 140 mm

> Solve the preceding problem if the mass of the tailgate is MT = 27 kg and that of the crate is MC = 68 kg. Use dimensions H = 305 mm, L = 406 mm, dC = 460 mm, and dT = 350 mm. The cable cross-se

> A pickup truck tailgate supports a crate where WC = 150 lb, as shown in the figure. The tailgate weighs WT = 60 lb and is supported by two cables (only one is shown in the figure). Each cable has an effective cross-sectional area AE = 0.017 in2. (a) Find

> Two steel wires support a moveable overhead camera weighing W = 28 lb (see figure part a) used for close-up viewing of field action at sporting events. At some instant, wire 1 is at an angle a = 228 to the horizontal and wire 2 is at angle b = 408. Wires

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> A circular tube AB is fixed at one end and free at the other end. The tube is subjected to axial force at joint B. If the outer diameter of the tube is 3 in. and the thickness is ¾ in., calculate the maximum normal stress in the

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2.99

See Answer