A three-bar frame is loaded and supported as Determine the internal resisting forces shown in Fig. and moment transmitted by Section bb in bar CDE. 2.5 ft 2.5 ft, -5ft- 4 ft bb+ 2 ft 800 ft-lb 2 ft 2 ft E 2000 lb
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- .17 A mountain-bike rider going uphill applies torque T = Fd(F = l5lb, d = 4 in.) to the end of the handlebars ABCD by pulling on the handlebar extenders DE. Consider the right half of the handlebar assembly only (assume the bars are fixed at the fork at A). Segments AB and CD are prismatic with lengths L, = 2 in.andL3 = 8.5 in, and with outer diameters and thicknesses d01 = 1.25 in. 101 = 0.125 in. and d03 = O.87in.,i03 = 0.ll5in, respectively as shown. Segment BC’ of length L, = 1.2 in. however. is tapered, and outer diameter and thickness vary linearly between dimensions at B and C. Consider torsion effects only. Assume G = 4000 ksi is constant. Derive an integral expression for the angle of twist of half of the handlebar tube when it is subjected to torque T = Fd acting at the end. Evaluate ‘b1-, for the given numerical1ues.A small lab scale has a rigid L-shaped frame ABC consisting of a horizontal aim AB (length b = 30 cm) and a vertical arm BC (length c = 20 cm) pivoted at point B. The pivot is attached to the outer frame BCD that stands on a laboratory bench. The position of the pointer at C is controlled by two parallel springs, each having a spring constant k = 3650 N/m. that are attached to a threaded rod. The pitch of the threads is p = 1.5 mm. If the weight is 65 N. how many revolutions of the nut are required to bring the pointer back to the mark?Find the internal force system acting on section 3 for the pin-connected frame. a P = 255 N (C), V = 0, M = 29.8 N · m b P = 255 N (T), V = 0, M = 29.8 N · m c P = 255 N (C), V = 0, M = 92.8 N · m d P = 525 N (C), V = 0, M = 29.8 N · m
- nonuniform beam 4.50 m long and weighing 1.40 kNmakes an angle of 25.0° below the horizontal. It is held in position bya frictionless pivot at its upper right end and by a cable 3.00 m fartherdown the beam and perpendicular to it . The center ofgravity of the beam is 2.00 m down the beam from the pivot. Lightingequipment exerts a 5.00 kN downward force on the lower left end ofthe beam. Find the tension T in the cable and the horizontal and verticalcomponents of the force exerted on the beam by the pivot. Start bysketching a free-body diagram of the beam.The system is made up of a bar, supported by a pin at point A and by a smooth collar at point B (the collar slides on the ABG bar). The collar is pinned to bar BDE, and bar BDE is supported by a pin at D and a cable at end E. Draw the bar BDR horizontaly and generate the cutting force diagram, flexing moment,show the max values of cutting force and flexing moment and its position . With T=26lb, a=4 in, b=9 inTwo gondolas on a ski lift are locked in the postion show in the figure while repairs are being made elsewhere.The distance between support towers is L = LOO ft.The length of each cable segement under gondolas weighing WB= 450 lb and Wc=650 lb are DAB=12 ft, DBC=70 a , and DCB=20 ft . The cable sag at B is AB = 3.9 ft and that C is A = 7.1 ft.THe effective cross-sectional area of the cables is Ae=0.12 in". (a) Find the tension force in each segment; neglect the mass of the cable. (b) Find the average stress(σ) in each cable segment.
- Application of Equilibrium Solve for the value of unknown variables Given : P1 = 6.85 KN P2 = 4.65 KN W1 = 6.15 KN/m Unknowns : RAy , RAx ,RBy , MA What is the value of internal shear 2.50m to the right of support AA horizontal L=1.2 m long mb=14 kg uniform bar is hinged on the left end and pulled at the right end by a cable. The cable makes 23° angle with horizontal. A 24 kg store sign is suspended below the bar at d=0.18 m from the right end. Find the magnitude of horizontal hinge force.Given the force in spring AD which is 110N, final length of spring EC is 1.92 m, spring constant k= 9 N/cm, and point G= 72⁰ in the spring and pulley system shown, (a) what is load P in N? (b) the initial strength of spring EC in mm?
- Compute the magnitudes of all forces acting on member CDE of the frame. answer: Pbc= 10.0 kips, Pbd= 20.0 kips, E= 19.70 kipsA steel plate of dimensions 2.5 x 1.5 x 0.08 m and weighing 23.1 kN is hoisted by steel cables with lengths L1 = 3.2 m and L2 = 3.9 m that are each attached to the plate by a clevis and pin (see figure). The pins through the clevises are 18 mm in diameter and are located 2.0 m apart. The orientation angles are measured to be s = 94.4' and a = 54.9° For these conditions, first determine the cable forces T1 and T2, then find the average shear stress Taver in both pin 1 and pin 2, and then the average bearing stress ?? between the steel plate and each pin. Ignore the weight of the cables.Under non-uniform and slippery road conditions, two forces (u and w), shown in the figure (image 1), are performed on the truck's rear wheels, which have a limited slip rear differential. Choose the alternatives that are true: (data: u = 92lbf and w =57lbf) (obs1.0: 1''= 1 in = 25,4mm) (obs2.0: 1lbf = 4,448N) a) the force vector resulting from the two forces is -149i [lbf] b) the resultant of the two forces has an intensity equal to 149lbf c) the ordinate of the point of intersection of the line of action of the resultant of this system of forces with the y axis is 7.05in d) adopting the counterclockwise direction as positive, the total moment of the two forces in relation to point g is equal to -1050lbf.in e) the total moment vector in relation to the G point is equal to -1050i [lbf.in]