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the resultant ^
2 A)
Problems: supplemental problems (2A, etc.) and from Onouye, Chapters 2, 3 & 4 Notes: Problems marked with a * have been altered with respect to the problem stated in the text. The “ Find, Given, Solution ” format is required unless noted.
2A) In the right triangle ABC shown, c = 25 ft and angle A = 48. Determine a) side a, b) side b, and c) height h. (math) Partial answer to check with: h = 12.43 ft
Partial answers to check with: R = 3.4 kN,
= -40.6° (below +x)
Partial answers to check with: MA = -1.0 k-ft MB = +4.4 k-ft.
Partial answers to check with: DE = 203 lb, DC = 246 lb, AC = 393 lb, BC = 488 lb (C)
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(force component method)
(equilibrium of a particle)
Partial answers to check with: AC = -9.2 k, CF = 4 k, CG = 0.4 k, HG = 5.5 k, ED = -7.12 k, EG = 1.77 k, EB = -7.78 k.
2B) For the truss of problem *4.1.15, use Multiframe software to find all member forces to verify your work from method of joints. You will be assigned a standard wide-flange (W) steel section to use posted in My Grades on e-Learning. Model the force at A using a pin support (triangle) and the force at B using a roller support (triangle with wheels) as shown in the figure. Submit the data file (.mfd) on e-Learning (under Contents-Assignments) and provide a print of the axial forces diagram (P). Note: The “Find, Given, Solution” format is not required, but the data file submitted to e-Learning and the print-out attached to the submission are.
6.5 k 5 .5 k
(method of joints)
all using the method of joints, and knowing there is a vertical support force of 6.5 k up at A, and 5.5 k up at B.
