Engineering Mechanics: Statics
8th Edition
ISBN: 9781118807330
Author: James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher: WILEY
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Chapter 4.6, Problem 130P
Determine the force acting on member ABC at connection A for the loaded space frame shown. Each connection may be treated as a ball-and-socket joint.
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The T-bar AEBF is connected to rod CD, with the joint at F being equivalent to a slider bearing. The supports at A and C are slider bearings, and thrust bearings are found at B and D. The two applied forces, which act at the midpoint of the arm EF, are parallel to the y- and z-axes, respectively. Neglecting the weights of the members, draw the FBDs for the entire structure, the T-bar, and rod CD. Determine the total number of unknowns.
A truss is loaded by four forces, and support by a pin at A and a roller at F as shown. Determine: (a) Calculation of the force in member EF using the method of joints. (b) Calculation of the vertical roller reaction at F. (c) Calculation of the forces in members FG, DC, and FC using the method of sections. DO NOT use method of joints here. Also, indicate whether these members are in tension or compression.
Calculate the force in member GH of the truss and indicate whether it is in tension or compression, using either method of joints or method of sections.
Required: Draw the FBD(s) as needed for analysis-all equilibrium equations must correspond to a FBD that you have drawn. Make sure to clearly indicate which FBD
your equation(s) correspond to.
K
J
H
4 ft
C
- 3 ft 3 ft -- 3 ft- 3 ft-3 ft
1500 lb 1500 lb 1500 lb 1500 lb 1500 lb
Chapter 4 Solutions
Engineering Mechanics: Statics
Ch. 4.3 - Determine the force in each member of the loaded...Ch. 4.3 - The truss of the previous problem is modified by...Ch. 4.3 - Calculate the forces in members BE and BD of the...Ch. 4.3 - Prob. 23PCh. 4.4 - Determine the force in member CG.Ch. 4.4 - Calculate the forces in members BC, BE, and EF....Ch. 4.4 - Determine the forces in members BC and CF of the...Ch. 4.6 - Determine the magnitude of the pin reactions at B...Ch. 4.6 - A 250-N force is applied to the foot-operated air...Ch. 4.6 - Determine the force acting on member ABC at...
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- The figure shows a three-pin arch. Determine the horizontal component of the pin reaction at A caused by the applied force P.arrow_forwardCompute the magnitude of the pin reaction at B. Neglect the weights of the structural members.arrow_forwardProblem 2 (Pro 3.25 Textbook): Identify the zero-force members in the trusses belowarrow_forward
- Two members, each consisting of straight and 168-mm radius quarter-circle, are connected as shown and support a 500-N load at D. Draw the FBD of the entire frame and members ABC and DBC, including dimensions. Determine the forces in member ABC. Also, calculate the force exerted by member DBC on pin C.arrow_forward2) A force, P, is applied to the truss shown to the right. First, determine the support reactions at C and F. Determine the force in member AB in terms of the A В applied force P (specify tension or compression). You must do this problem: (a) first, using method of joints, (b) second, using method of sections. (For part (a), plan ahead: what is the best joint to start with, so you can minimize the number of joints you need to analyze?) (FYI, you can do this problem without a calculator problem.) Ans. C, = 2P/3 (↑), Fx = 0, F, = P/3 (↑) FAB = P/2 (C) 4 m C F E OMONO P 3 m 3 m 3 marrow_forwardUsing the method of joints, calculate the force in each member of the truss shown. State whether each member is in tension or compression. Figure 2 The homogeneous 48-lb plate is welded to the vertical shaft AB of negligible weight. The assembly is supported by a slider bearing atA and a thrust bearing at B. Determine the force in cable CD and the magnitude of the bearing reaction at B in vector form. Figure 3arrow_forward
- A scissors jack for an automobile is shown in Fig. The screw threads exert a force F on the blocks at joints A and B. Determine the force P exerted on the auto- mobile if F = 800 N and (a) 0 = 15°, (b) 0 = 30°, and (c) 0 = 45°. Barrow_forwardQuestion 4: The wall-crane structure shown in the diagram carries the 25 kN load. It is supported by the horizontal reaction R, attached to horizontal member BD at pin D and by a double support at pin A – comprising a horizontal support reaction force RAx and a vertical support reaction force Rar Use the method of joints to determine: (i) the type (tension or compression) and magnitude of the force in each member of the frame, and (ii) the support reactions at A and D. B R, 60° 60 Rx A RAY 25 kNarrow_forwardProblem 1 For the frame loaded as shown, determine all the forces on members AD and ABC. Support at C is a roller. Hint: Please be careful in this problem: at point A, there are three elements connected at A: a pin A that is connected to ground (so, two support reactions due to that, say Ax and Ay), then, bar AD (two more reactions at A due to bar AD: call these as Ax_prime, and Ay_prime) and the bar AC (two more reactions at A due to bar AC: call these as Ax_doubleprime, Ay_doubleprime). So, you will need to draw a pin FBD at A showing all the six forces. 200 N 130 mm 400 mm V400 N A B -400 mm 400 mmarrow_forward
- Determine the member forces for all members in each truss shown using the method on joints. Remember to list each member force as either tension or compression.arrow_forwardProblem 7 Compute the reaction forces in B and D. Hint: in this case, since you have to determine the external reactions only, you can consider the truss as a single rigid body 4.5 m 4.5 m B 2.8 m A 8.4 kN 8.4 kNarrow_forwardProblem 3: Consider the truss shown. a. Find the support reactions at A and D. Indicate the direction of the forces acting on the truss b. Find the forces in members DH, DE and HI using the method of joints. State whether they are in tension (T) or compression (C). 50 N 2m 2m 2m H 1.5 m 40 N- 1.5 m F E B 1.5 marrow_forward
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