Determine the horizontal and vertical components of the pin reaction at (B) on ABC for frame shown in Figure below 10 N A B 1.5m C D 56 N.m 3m EF E G cord 2m 1.5m 2.5m 0.25m 3m
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- Solve the preceding problem for the following data: b = 8.0 in., k = 16 lb/in., a = 45°, and P = 10 lb.Repeat Problem 11.3-9. Use two C 150 × 12.2 steel shapes and assume that E = 205 GPa and L = 6 m.The L-shaped arm ABCD shown in the figure lies in a vertical plane and pivots about a horizontal pin at A. The arm has a constant cross-sectional area and total weight W. A vertical spring of stiffness k supports the arm at point B. (a) Obtain a formula for the elongation of the spring due to the weight of the arm. (b) Repeat part (a) if the pin support at A is moved to D.
- .15 A hitch-mounted bicycle rack is designed to carry up to four 30-lb bikes mounted on and strapped to two arms Gil (sec bike loads in the figure part a) The rack is attached to the vehicle at A and is assumed to be like a cant silkier beam A BCDGII (figure part b) The light of fixed segment AB is U = 10 lb. centered 9 in. from A (see figure part b) and the rest of the rack highs W2 = 40 lb. centered 19 in. from A. Segment ABCDG is a steel tube o(2 X 2 in. with a thickness I = 118 in. Segment BCDGII pivots about a bolt at B with a diameter d1 = 0.25 in. to allow access to the rear of the vehicle without removing the hitch rack. When in use, the rack is secured in an upright posit ion by a pin C(diameter o( pin d, = 5116 in.) (see phoo and figure part C). The of returning effect of the bikes on the rack is resisted by a force couple F h at BC. (a) Find the support reactions at A for the fully loaded rack. (b) Find forces in the bolt at B and the pin at C. (c) Find average shear stresses in both the bolt at Band the pin at C. (d) Find average bearing stresses o, in the bolt at B and the pin at C.Beam AB has a pin support at A and a roller support at B Joint B is also restrained by a linearly elastic rotational spring with stiffness kR, which provides a resisting moment MBdue to rotation at B. Member AB has flexural rigidity EI. A moment M0acts counterclockwise at B. Use the method of superposition to solve for all reactions. Find an expression for joint rotation Ain terms of spring stiffness kR. What is Awhen kR 0? What is Awhen kR— ? What is Awhen kR= 6EI/L?A long re Lai nine: wall is braced by wood shores set at an angle of 30° and supported by concrete thrust blocks, as shown in the first part of the figure. The shores are evenly spaced at 3 m apart. For analysis purposes, the wall and shores are idealized as shown in the second part of the figure. Note that the base of the wall and both ends of the shores are assumed to be pinned. The pressure of the soil against the wall is assumed to be triangularly distributed, and the resultant force acting on a 3-meter length of the walls is F = 190 kN. If each shore has a 150 mm X 150 mm square cross section, what is the compressive stress
- Draw F.B.D then find reactions at supports A and B take AB weight 25K9 4m 30° 50Example The beam ABC is loaded via a 500 N.m couple and a 600 N force as shown. The beam is connected to the rest of the system by a pin joint at B and a roller support at C. Determine the magnitude of the reaction forces on the beam at the supports. 600 N 500N.m 400 300 500 Ans. RC=1700 N RBx=1597.5 N Dimensions in mm REDMI NOTE 9 PRO AI QUAD CAMERA RBy=1181.4 NQ1-A- A man stands on the middle rung of a 250 N ladder resting on a smooth floor and against a wall as shown in Figure. The ladder is prevented from slipping by a string OD and the tension force in the string is 50 N, and the reactions at A and B are 1.3 kN and 433 N respectively. Find the mass of the man. Fig. (1) A 250 N 30 2m 0 m
- The simply supported beam is subjected to the loads as described in the figure and parameter table. Neglecting the thickness of the beam, calculate the horizontal and vertical support reactions at A and B. F A B C -4*- L3 parameter value units L1 L2 L3 ft 4 ft 6 ft theta 65 F 200 lb M 500 lb-ft For the answers, take to the right and up to be the positive directions. The support reaction at A in the z direction is NAz- lb The support reaction at A in the y direction is NAy- lb The support reaction at Bin the z direction is NB= lb The support reaction at Bin the y direction is NBy= lbA triangular distributed load of max intensity w-490 N/m acts on beam AB. The beam is supported by a pin at A and member CD, which is connected by pins at C and D respectively. Determine the reaction forces at A and C. Enter your answers in Cartesian components. Assume the masses of both beam AB and member CD are negligible. Cc030 BY NC SA 2016 Eric Davishahl Variable Value 6.6 m 11.88 m 4.95 m a b Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. с D The reaction at A is A = -12268 N. → The reaction at C' is = 11268 N. xi+ -3923 W' xi+ 8451 XAn L-shaped bar is supported by a bearing at A and a smooth horizontal surface at B. Take the value of Fto be 720 N. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. 1.5m 1.5m 2m Determine the reactions at A and B. (Do not include a minus sign in your response.) The y component of the reaction force at A is [ NT. The z component of the reaction force at A is N✓. The reaction moment at A about the y axis is N-m . The reaction moment at A about the z axis is N.m O The y component of the reaction force at Bis NT.