A stone arch is loaded With 5 forces and a co of the arch has a radius equal to 8.0 m from the centre O. On the external perimeter of the arch are located points B,C,D,E,F and H. Points A and G are located on the interior perimeter of the arch. A horizont al force of 30 N is applied at B, while the forces at C and D have a magnitude of 35 N. The force at C is oriented 40° from the horizontal axis r as shown in the Figure, while the forces at D and E are vertical. The magnitude of the force at E is 50 N. Finally, a 25 N force is applied at F with a slope of 30° with respect to a. Find: clockWise couple of T'he external perimeter The resultant R and the result ant moment MA of the sy stem of forces with respect to point A. Hint: the points A,B,0,G and H are aligned with the axis r. 35 N 4M 50N 4 m 35 N E 25 N R=8m 30 N B 40 A 30 5 m 5 m 7O NM 8.
A stone arch is loaded With 5 forces and a co of the arch has a radius equal to 8.0 m from the centre O. On the external perimeter of the arch are located points B,C,D,E,F and H. Points A and G are located on the interior perimeter of the arch. A horizont al force of 30 N is applied at B, while the forces at C and D have a magnitude of 35 N. The force at C is oriented 40° from the horizontal axis r as shown in the Figure, while the forces at D and E are vertical. The magnitude of the force at E is 50 N. Finally, a 25 N force is applied at F with a slope of 30° with respect to a. Find: clockWise couple of T'he external perimeter The resultant R and the result ant moment MA of the sy stem of forces with respect to point A. Hint: the points A,B,0,G and H are aligned with the axis r. 35 N 4M 50N 4 m 35 N E 25 N R=8m 30 N B 40 A 30 5 m 5 m 7O NM 8.
International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter6: Beams And Cables
Section: Chapter Questions
Problem 6.4P: Find the internal force systems acting on sections 1 and 2.
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Transcribed Image Text:A stone arch is loaded with 5 forces and a counterclockwise couple of 70 Nm. The external perimeter
of the arch has a radius equal to 8.0 m from the centre O. On the external perimeter of the arch
are located points B,C,D,E,F and H. Points A and G are located on the interior perimeter of the
arch. A horizont al force of 30 N is applied at B, while the forces at C and D have a magnitude of
35 N. The force at C is oriented 40° from the horizontal axis r as shown in the Figure, while the
forces at D and E are vertical. The magnitude of the force at E is 50 N. Finally, a 25 N force is
applied at F with a slope of 30° with respect to a. Find:
The resultant R and the result ant moment MĄ of the system of forces with respect to point
A.
Hint: the points A,B,0,G and H are aligned with the axis r.
35 N
50N
4 M
4 m
35 N
25 N
R=8m
30 N
40
A
30
B
5 m
5 m
70 NiM
8.
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please how did you determine the two vertical forces when caalculating the moment about A and why are there no x coponents
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