Engineering Mechanics: Statics
8th Edition
ISBN: 9781118807330
Author: James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher: WILEY
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Chapter 4.3, Problem 23P
To determine
The forces in each member of the Pratt roof truss.
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III. Construct the internal force diagrams of the following structure by using the method
of superposition segment by segment
1. Bending moment and shear force
3kN- m
E
2.5m
2.5m
2m
to
2. Bending moment
Fr
a
3. For the truss shown below, find the internal force of all members using method of sections.
120 kN
4.5 m
3 m
1.5 m
2 m
2 m
2 m
60 kN
Find the forces in the members AE, DE, and AC of the truss shown Assign a tension or
compression value to each member. Using methods of sections
-10 ft-
A
14 ft
15 kips
B
F
5 ft
D
E
40 kips
-10 ft-
C
GO
5 ft
6 ft
✓
10 ft
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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- Find forces in all truss using method of sections Draw FBD for truss and calculate reactionsarrow_forwardUse the method of Sections To Compute The Internal Axial Forces In Members CD, CE, And EF.arrow_forward(a) Establish whether the 3D truss shown below is statically determinate. Justify your answer mathe- matically. (b) Apply the method of sections, with a section cut by a plane parallel to the xz plane (severing members EC, DC, EB, DB, AB) to determine the force in the member AB of the truss in the figure. (c) Compute the force in member DB. Hint: Select a line that several unknown forces pass through and sum moments of the cut section about this line. X A 2 m 4 m Elt D 3 m B 8 kN с 6 kN 10 KNarrow_forward
- Solve the following problems by the method of sections. State whether the members are in tension or compression. A truss is loaded and supported as shown in Fig. Plot the forces in members AF, BD, and BF of the truss as a function of angle e (0s as 90). 800 kN 400 KN B 30 30 30 4 m 4 marrow_forwardConsider the following truss, supported by a smooth pin at point A and by a roller at point E on which various external forces are acting. For each node B, C, D draw the corresponding free-body diagram and find all the forces in the members of the truss, establishing whether these forces are compression (C) or tension (T). Calculate the external forces on supports A and Earrow_forwardA 400 N gas sign hangs from the end of a uniform strut BC. The strut is 4 m long and weighs 600 N. The strut is supported by a hinge at the wall at C and by a cable whose other end is tied to the wall at point A 3.0 m above the left end of the strut. Find the tension in the supporting cable and the force of the hinge on the strut. 5.0 m 3.0 m 4.0 m B GAS TAB= 1333 N TAB= 1167 N TAB= 400 N TAB= 1000 N leave the question 4 Other: Q 4 4 points Rc= 980 N O Rc= 360 N Rc= 890 N Rc= 1085 N O O O O O O Oarrow_forward
- 3 The figure shows a plana that is held in static equilibrium by two supports at joints A and G. The truss members have negligible masses. Members AB, BC, CD, and GF are oriented horizontally, and the members AG, BF, and CE are oriented vertically. The 20 kN load is oriented vertically and the 30 kN load is oriented horizontally. Calculate the forces in the following truss members and state if they are in tension or compression: a. Member AB b. Member BF mamo c. Member FE org d. Member CE e. Member DE m A 4 m BY K 4 m 4 m 30 kN C E 3 m 4 m 20 kN D Anywers OF DOORN MOnston) DE ODONG fogmpression) es compression) Po Lokaarrow_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_forwardSolve the example pleasearrow_forward
- Nonearrow_forwardThe frame below is used to support the distributed load as shown. (12) a) Find the reactions at C and E. Gft (8) b) Find the force in link BD. Is the link in compression or tension? 1.5 Lb/Ft B You must show all free body diagrams used and label all forces that appear on your diagrams and in your equations. 4,5ftarrow_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_forward
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