The structure supports force P=75 kN, as shown in Figure 6. The solid circular rod BD is made of A992 steel: a. Find the vertical and horizontal component acting on the pin of the pulley C. b. Find the compressive force in the rod BD. c. Find the effective length-factor for BD.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter1: Tension, Compression, And Shear
Section: Chapter Questions
Problem 1.10.15P: An elevated jogging track is supported at intervals by a wood beam AB (L = 7.5 ft) that is pinned at...
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Question 6
A
B
112 mm
1.2 m
0.9 m
Figure 6
The structure supports force P=75 kN, as shown in Figure 6. The solid circular rod BD is
made of A992 steel:
a. Find the vertical and horizontal component acting on the pin of the pulley C.
b. Find the compressive force in the rod BD.
c. Find the effective length-factor for BD.
d. Express the radius of gyration about any centroidal axis for a solid circular area as a
function of the diameter of a circle.
e.
Find the critical effective slender ratio (KL/r), according to the AISC specifications.
f.
Determine the required minimum diameter of the A992 steel solid circular rod BD to
the nearest mm as allowed by the AISC specifications.
g. Determine the F.S. for buckling of the designed rod DB.
-0.9 m
P
Transcribed Image Text:Question 6 A B 112 mm 1.2 m 0.9 m Figure 6 The structure supports force P=75 kN, as shown in Figure 6. The solid circular rod BD is made of A992 steel: a. Find the vertical and horizontal component acting on the pin of the pulley C. b. Find the compressive force in the rod BD. c. Find the effective length-factor for BD. d. Express the radius of gyration about any centroidal axis for a solid circular area as a function of the diameter of a circle. e. Find the critical effective slender ratio (KL/r), according to the AISC specifications. f. Determine the required minimum diameter of the A992 steel solid circular rod BD to the nearest mm as allowed by the AISC specifications. g. Determine the F.S. for buckling of the designed rod DB. -0.9 m P
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