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- Bar AB of negligible weight is supported by a ball-and-socket joint at B and two cables attached at A. Draw the FBD for the bar, recognizing that it is a two-force body. Determine the number of unknowns.(i) A homogeneous prismatic bar hangs from a ceiling verticallydownwards under its own weight. The bar has density,?,Length, L and cross-sectional area, A. Show that the total elongation of the bar is given by Eq. (1):The rigid bar ABC is suspended from three wires of the same material. The cross-sectional area of the wire at B is equal to half of the cross-sectional area of the wires at A and C. Determine the tension in each wire caused by the load P.
- A rectangular wooden column has the cross section shown. If a = 3 in. and the column is 12 ft long, determine the allowable axial force P that can be safely supported by the column if it is pinned at its top and ixed at its base.The brass tube AB (E= 105 GPa) has a cross-sectional area of 14 0 m m2 and is fitted with a plug at A. The tube is attached at B to a rigid plate that is itself attached at C to the bottom of an alumi-num cylinder (E= 72 GPa) with a cross-sectional area of 250 mm2. The cylinder is then hung from a support at D. In order to close the cylinder, the plug must move down through 1 mm. Determine the force P that must be applied to the cylinder.A straight girder of uniform section and length L rests on supports at the ends, and is propped up by a third support in the middle. The weight of the girder and its load is w per unit length. If the central support does not yield, prove that it takes a load equal to (5/8)wL. ANSWER: 1.80cm and 2.48cm Please show solution to the answer.
- The three-bar truss in Fig. a is subjected to a horizontal force of 5 kip. If the cross-sectional area of each member is 0.20 in2, determine the horizontal displacement at point B. E = 29(103) ksi.A bent steel bar ABC of negligivl weight is supported by cables BE and CD and by a frictionless ball and socket joint A. It is loaded by force P = 5kN. The supports D and E lie in the YZ plane, while the bar lies in the XZ plane, and BC is parallel to the Z axis. Determine: a)The forces in cables BE and CD b) The reactions at AA 1-in.-square aluminum strut is maintained in the position shown by a pin support at A and by sets of rollers at B and C that prevent rota-tion of the strut in the plane of the figure. Knowing that LAB=3 ft, determine (a) the largest values of LBC and LCD that can be used if the allowable load P is to be as large as possible, (b) the magnitude of the corresponding allowable load. Consider only buckling in the plane of the figure and use E=10.4 *106 psi.
- Three cylinders are piled in a rectangular ditch as shown. The radius of the uppermost cylinder is 7cm, the middle one is 9cm, and the botom cylinder is 4cm. The ditch has a length of L - 20cm. Assume that the weight of the cylinders are W1 = 24kN, W2 = 44kN, and W3 = 18kN. Determine the reaction (kN) at A. Neglectt friction.A device consists of a horizontal beam ABCsupported by two vertical bars BD and CE. Bar CEis pinned at both ends but bar BD is fixed to thefoundation at its lower end. The distance from A toB is 600 mm and from B to C is 350 mm. Bars BDand CE have lengths of 350 mm and 450 mm, respectively,and their cross-sectional area is 720 mm2. Thebars are made of steel having a modulus of elasticityE = 200 GPa. If load P is 20 kN, calculate the displacementat point A.Force P is applied as shown on the 13.5 mm thick plate. P = 100 kN. Holes are oversized causing all rivets to always proportionately react to load applied on the plate. 1. Which of the following most nearly gives the force in rivets if P is applied at the centroid of four(rivets)? a. 50 kN b. 30 kN c. 25 kN d. 40 kN 2. Which of the following most nearly gives the force in rivets if only moment equals P times e is applied at the centroid of four(rivets)? a. 12.567 kN b. 10.451 kN c. 32.672 kN d. 17.678 kN 3. Which of the following most nearly gives the maximum force in rivets due to combined effect of P and torque? a. 42.28 kN b. 40.93 kN c. 39.53 kN d. 37.34 kN 4. Considering shearing in bolts, what is the minimum required diameter if allowable shearing stress in bolts is Fv/2, Fv = 372 MPa a. 27.34 mm b. 14.53 mm c. 16.45 mm…