Classify each of the structures below as statically determinate, statically indeterminate, or unstable. If indeterminate, specify the degree of indeterminacy.
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- At fixed support, vertical, horizontal and moment reactions should be considered. distributed load = 13kN L = 3m (3L = 3 x 3m = 9m) F = 7 kN.Determine whether each of the beams and frames below are externallydeterminate, indeterminate, or unstable. If it is indeterminate, to whatdegree is it indeterminate? use the external formula below: r<3+ec statically unstable externally r=3+ec statically determinate externally r>3+ec statically indeterminate externallyAn A36 channel section is used as a purlin in a roof system with spacing of trusses at 4.5 m apart. Purlins are to be places at the joints and at the mid points of each top chord member. Sag rods are places at the center of each purlin. The total gravity loads consists of a dead load of 1.2 kpa roof surface (including weight of roofing and purlins) and a live load of 1.4 kPa of the roof surface. Assume the steel section is a compact section and that all loads are applied at the top flange of the purlins. Use LRFD method. (Refer to the figure for the value of equal soacing = S) Properties: Sx = 221.28 x 10^3 mm3 Sy = 19.01 x 10^3 mm3 Zx = 258.82 x 10^3 mm3 Zy = 38.51 x 10^3 mm3 Lp = 0.90 m Lr = 3.34 m Cb = 1.30 m Fy = 248 mPa Use LRFD design method. Determine the flexural strength of the purlins about the x-axis. (kN/m)
- The type of support connection determines the reaction forces and the type of loads. true or falseDetermine the reactions at fixed support A of the column. Neglect thickness of the column. draw FBFD please and show all work step by step neatly and organized. Thanks in advance.A laminated plastic beam of square cross section is built up by gluing together three strips, each 20mm x 60mm in cross section (see figure). The beam has a total weight of 2.2 N and is simply supported with span length L=220mm. Considering the weight of the beam (q) calculate the maximum permissible CCW moment M that may be placed at the right support. (a) If the allowable shear stress in the glued joints is 0.4MPa. Round to the nearest tenth. (b) If the allowable bending stress in the plastic is 8 MPa. Round to the nearest hundredth.
- An aluminum strut 2.00m long has a rectangular section 50mm by 30mm. A bolt through each end secures the strut so that it acts as a hinged column about an axis perpendicular to the 50 mm dimension and as a fixed ended column about an axis perpendicular to the 30mm dimension. Determine the safe central load using a factor of safety of 2.5 and E= 70 Gpa.Axial loads are applied to the compound rod that is composed of an aluminum segment rigidly connected between steel and bronze segments. What is the stress in each material given that P-10 kN? Draw the FREE BODY DIAGRAM.Consider a column bean under compression. A load P is applied at the upper end.Both ends have pinned boundary conditions. As you answer the following questions, you must explain each step, so you can show that you understand each step. You must also be concise and very brief.a.What is the critical load for this system. b.Assume that you now add a pinned supportis located a third of the way from the top of the column,and athird from the bottom of the column. These pinned supports prevent the column from laterally translating at the points of support. What is the new critical load of this system? Solve this problem in two very simple ways
- For the structure and loading system shown: A) Replace the loading system acting on the beam by an equivalent resultant force and couple at point O.choose the correct answer Why in an arch bridge is the arch at the bottom of the bridge, but in the suspended bridge it is the highest of the bridge * a-The suspension bridge conveys the load plumbly to the cables and then to the pillars b-Because of the lack of loads on the suspension bridge c-Nothing mentionedText: The beam AB is made of structural timber C24. The cross-section of the beam is rectangular with b x h = 73mm x 198mm. . In the middle of the beam (point C) it is suspended from a wire (steel) of length l = 3m and a diameter ø= 10mm. Before the external load is applied to the structure, the beam horizontal. Then a payload is applied q= 5 kN/m. The dead weight of the beam can be neglected. a) Calculate the axial force in the wire. b) Calculate the transverse displacement at the center of the beam, . c) Establish moment and shear force diagrams for the beam. d) Calculate the tension in the wire