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test on statics engendering, Lecture notes of Engineering

Cairo University Engineering

test on statics engendering in 2 questions

Typology: Lecture notes

2018/2019

Uploaded on 03/08/2024

moha-24 🇪🇬

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Hibbeler Statics 14e: Problem 2-4 Page 1 of 2

Problem 2-4

The vertical force Facts downward at Aon the two-membered frame. Determine the magnitudes

of the two components of Fdirected along the axes of AB and AC. Set F= 500 N.

Solution

Decompose the vertical force Finto components along axes aligned with members AB and AC.

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Hibbeler Statics 14e: Problem 2-4 Page 1 of 2

Problem 2-

The vertical force F acts downward at A on the two-membered frame. Determine the magnitudes of the two components of F directed along the axes of AB and AC. Set F = 500 N.

Solution

Decompose the vertical force F into components along axes aligned with members AB and AC.

www.stemjock.com

Hibbeler Statics 14e: Problem 2-4 Page 2 of 2

Enlarge the parallelogram and draw the triangle consisting of the vector components and F.

On the right is the triangle with the corresponding vector magnitudes. Use the law of sines to determine FAB and FAC.

F sin 75°

FAB

sin 60°

→ FAB =

F

sin 75°

sin 60°

F sin 75°

FAC

sin 45°

→ FAC =

F