The frame in (Figure 1) supports the 250-lb load. The pulley at C has a radius of 0.5 ft. The pulley at D has a radius of 0.25 ft.
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- A rigid bar of length L is supported by a linear elastic rotational spring with rotational stiffness ßRat A. Determine the critical load Pcr for the structure.Three round, copper alloy bars having the same length L but different shapes are shown, in the figure. The first bar has a diameter d over its entire length, the second has a diameter d over one-fifth of its length, and the third has a diameter d over one-fifteenth of its length. Elsewhere, the second and third bars have a diameter Id. All three bars are subjected to the same axial load P. Use the following numerical data: P = 1400 kN, L = 5m,d= 80 mm, E= 110 GPa. and v = 0.33. (a) Find the change in length of each bar. (b) Find the change in volume of each bar.An idealized column is made up of rigid bars ABC and CD that are joined by a rotational elastic connection at C with stiffness ßR. The column has a roller support at B and a pin support at D. Find an expression for the critical load Pcr of the column.
- The figure shows an idealized structure consisting of two rigid bars with pinned connections and linearly elastic rotational springs. Rotational stiffness is denoted ßR. Determine the critical load Pcrfor the structure.PROBLEM: 3 A helical spring made of C50 steel has an outside diameter of 91 mm and a wire diameter of 11 mm. The spring has to support a maximum axial load of 1.25 KN. Determine the maximum shear stress and total deflection. If the springs have 14 coils with ends ground flat. Determine also the factor of safety. Take G = 0.85x102 KN/mm2.Take yield strength of C50 as 380 N/mm2.The assembly is made of A-36 steel cylinders. (Figure 1) Part A: If the gap between C and the rigid wall at D is initially 0.15 mm, determine the magnitudes of the support reactions at A and D when the force P = 220 kN is applied. Enter your answers in kilonewtons to three significant figures separated by a comma. Fa, Fd = ?
- Static Problem. Indications:The system shown is composed of an ABG bar, supported by a pin at point A and by a collarsmooth at point B (the collar slides on the bar ABG). The collar is pinned to the BDE bar, and theRod BDE is supported by a pin at D and a cable at end E.Based on the above, determine:a) The load P, such that the cable force EF is T.b) The internal loads in a section passing through point G (normal and shear force, and momentflexing).c) Draw bar BDE horizontally and generate the shear force and moment diagramsflexing Indicate the maximum values of shear force and bending moment and their location.?= 22 lb ? = 7 in ? = 6 inThe supports used to support the truss shown below consist of rollers at A and B. The weight of the truss is negligible in relation to the applied loads. Read the following statements and then check the correct alternative. 1)the supports provide exactly the amount of links needed to keep the structure in balance 2)the corresponding reactions involve three unknowns that can be determined through equilibrium equations. 3)although vertical movement is impeded, the truss can move freely horizontally 4)the reactions involve only two unknowns and the lattice is partially linked Alternatives: a)Only 1 is correct.b)Statements 2 and 3 are correct.c)Statements 2 and 4 are correct.d)Statements 3 and 4 are correcte)No statement is correct.A ladder with a uniform cross-section has a length of 4.80-foot long. It weighs W Ib. It is arranged such that one end is on the ground and the other against a vertical wall. The angle of triction at all contact surtaces is 20 degrees. What is the value of the coefficient of triction? What is f, in terms of variable Na? What is the normal force at A in terms of variable W? Answer in three decimal places
- Please show complete solution with formula and free body diagramA rectangular steel block is 4 inches long in the x direction, 3 inches long in the y direction, and 4 inches long in the z direction. The block is subjected to a triaxial loading of three uniformly distributed forces as follows: 48 kips tension in the x direction, 60 kips compression in the y direction, and 54 kips tension in the z direction. If ν = 0.30 and E = 29 × 106 psi, determine the single uniformly distributed load in the x direction that would produce the same deformation in the y direction as the original loading.Construct the buckling curve, P/A versus L/r, for a column that has a bilinear stress–strain curve in compression as shown.The bridge construction company Z is facing problems with the mechanism of the crane, which it uses to lift the beams of the bridges. We have been informed that the bars are made of UNSG 10100 HR steel (Sy= 26x10^3psi, E= 30x10^6psi) and it is required that you determine the maximum weight that the system can support in order to identify what the problem is.