The frame shown in Figure below consists of two members (BC and ABD) and it is subjected by the given point loads. Find all pin forces that act on this frame.
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- A lifeboat hangs from two ship's davits. as shown in the figure. A pin of diameter d = 0.80 in. passes through each davit and supports two pulleys. are on each side of the davit. Cables attached to the lifeboat pass over the pulleys and wind around winches that raise and lower the lifeboat. The lower parts of the cables are vertical and the upper parts make an angle a =15° with the horizontal. The allowable tensile force in each cable is 1800 lb, and the allowable shear stress in the pins is 4000 psi. If the lifeboat weighs 1500 lb, what is the maximum weight that can be carried in the lifeboat?Two steel wines support a moveable overhead camera weighing W = 28 lb (see figure part a) used For close-up to viewing of field action at sporting, events. At some instant, wire I is at an angle a = 22° to the horizontal and wire 2 is at angle fi = 40°. Wires I and 2 have diameters of 30and 35 mils, respectively. (Wire diameters are often expressed in mils; one mil equals 0.001 in.) (a) Determine the tensile stresses s and s2 in the two wires. (b) If the stresses in wires 1 and 2 must be the same, what is the required diameter of wire 1 ? (c) To stabilize the camera for windy outdoor conditions, a third wire is added (see figure part b). Assume the three wires meet at a common point coordinates (0, 0. 0) above the camera at the instant shown in figure part b. Wire I is attached to a support at coordinates (75 ft, 48 ft, 70 Ft). Wire 2 is supported at (-70 ft. 55 ft, 80 Ft). Wire 3 is supported at (-10 ft. -85 Ft, 75 ft). Assume that all three wires have a diameter of 30 mils. Find the tensile stresses in all three wiresA cargo ship is tied down to marine boll arts at a number of points along its length while its cargo is unloaded by a container handling crane. Each bollard is fastened to the wharf using anchor bolts. Three cables having known tension force magnitudes F, = ll0 kN.F, = 85kN.and F, 9OkNare secured to one bollard at a point A with coordinates (0.0.45 m. 0) in the x-r-: coordinate system shown in the figure part b. Each cable force is directed at an attachment point on the ship. Force F, is directed from point A to a point on the ship having coordinates (3 m, 9 m. 0) force F, is directed at a point with coordinates (6.5 m. 8.5 m. 2 m) and force F, is directed at a point with coordinates (8 m. 9 m. S m). The diameter of each anchor bolts is 4 24 mm. (a) Find the reaction forces and reaction moments at the base of the bollard. (b) Calculate the average shear stress in the anchor bolts (in the x-: plane). Assume each bolt cart ics an equal share of the total force.
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- In the given figure, support A is a roller and support B is a pin support. If P=15 kips, calculate the 1) vertical reaction at A, 2) vertical reaction at B, 3) horizontal reaction at B P 6 kips 6 kips В 6 ft – 3 ft 2 ft ' 2 ftRAY F Enter Fpc: Enter Fr The figure above is a pin-joint frame with horizontal member length 1 = 2m and vertical member length h = 4m. (Note that the diagram is not to scale.) You are given that F₁ =45kN, RAY = 15kN and Rpy = 30kN. Use the method of sections to calculate the forces in members BC, FC and FE. Enter your answers in kilonewtons (kN) correct to 2 decimal places. Enter Fac: KN KN F₁ KN RDY3-4 Sketch a free-body diagram of each element in the figure. Compute the magnitude and direction of each force using an algebraic or vector method, as specified. F=400 N. 30° B 60° 2 1.9 m 0 9 m C D 60° E x
- The beam is supported by a fixed support at point A. There are 2 distributed loads applied to the beam. Neglect the weight and thickness of the beam. Take the origin for all functions to be at A. , i.e. start at the left and go right. Must use positive sign convention for V and M. W1 A W2 d1 Values for the figure are given in the following table. Note the figure may not be to scale. Variable Value di 3 m W1 6 (kN)/m W2 3 (kN)/m a. For the interval 0 < x < 3 m, determine the equation for the Shear Force as a function of x, V(x). b. For the interval 0 < x < 3 m, Use integrals to determine the equation for the Moment as a function of X, M(x). o Enter the coefficient of the x term as a fraction and the rest as decimals. for example, x4 1.4x c. Determine the magnitude of the max shear on the beam,Vmax d. Determine the magnitude of the max bending moment on the beam, Mn maxWrite the solution for the following: Member BC= 600 N Member FG = -600 NWhat are the magnitude (F) and the location measured from end A (d) of the equivalent resultant force of the triangular distributed load in the figure below. 3 m 5 m Wo =2 kN/m Select one: a. F = 6 KN ; d = 1 m b. F= 3 KN ; d=6 m c. F= 6 KN ; d=6.5 m d. F= 3 KN ; d=1.5 m