Example 5: The tower crane is used to hoist the 2-Mg load upward at constant velocity. The 1.5-Mg jib BD, 0.5-Mg jib BC, and 6-Mg counterweight C have centers of mass at GI, G2, and G3, respectively. Determine the resultant moment produced by the load and the weights of the tower crane jibs a bout point A and about point B 4 m 9.5m G2 B G3 F7.5 m - 12.5 mG 23 m A

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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i i. .
O O 1Y:0E
Z 10th lecture Moment...
Solution:
S+
30 (cos 45°)(18) =
(12) - 0
F- 39.8 lb
prepared by: Ahmed Raad, MSCE
ENGINEERING MECHANICS STATICS
Example 5: The tower crane is used to hoist the 2-Mg load upward at constant
velocity. The 1.5-Mg jib BD, 0.5-Mg jib BC, and 6-Mg counterweight C have
centers of mass at GI, G2, and G3, respectively. Determine the resultant moment
produced by the load and the weights of the tower crane jibs a bout point A and
about point B
4 m
9.5m
G,
B
G3F7.5 m
G
12.5 m
23 m
A
Solution:
Since the moment arms of the weights and the load measured to points A and B are the same, the
resultant moments produced by the load and the weight about points A and B are the same.
C+ (Ma)A - (Ma)a, - XFd;
- 2000(9.81)(12.5) - 76 027.5 N-m - 76.0 kN - m (Caunterclockwise)
(M)A - (M)a - 6000(9.81)(7.5) + 500(9.81)(4) - 1500(9.81)(9.5)
prepared by: Ahmed Raad, MSCE
II
Transcribed Image Text:i i. . O O 1Y:0E Z 10th lecture Moment... Solution: S+ 30 (cos 45°)(18) = (12) - 0 F- 39.8 lb prepared by: Ahmed Raad, MSCE ENGINEERING MECHANICS STATICS Example 5: The tower crane is used to hoist the 2-Mg load upward at constant velocity. The 1.5-Mg jib BD, 0.5-Mg jib BC, and 6-Mg counterweight C have centers of mass at GI, G2, and G3, respectively. Determine the resultant moment produced by the load and the weights of the tower crane jibs a bout point A and about point B 4 m 9.5m G, B G3F7.5 m G 12.5 m 23 m A Solution: Since the moment arms of the weights and the load measured to points A and B are the same, the resultant moments produced by the load and the weight about points A and B are the same. C+ (Ma)A - (Ma)a, - XFd; - 2000(9.81)(12.5) - 76 027.5 N-m - 76.0 kN - m (Caunterclockwise) (M)A - (M)a - 6000(9.81)(7.5) + 500(9.81)(4) - 1500(9.81)(9.5) prepared by: Ahmed Raad, MSCE II
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