888 Ans. (7.465/ Example Determine the x and v components of cach force acting on the gusset plate of a bridge truss. Show that the resultant force is zero. F-6 kN F=8 kN F 6 kN F=4 kN 888
888 Ans. (7.465/ Example Determine the x and v components of cach force acting on the gusset plate of a bridge truss. Show that the resultant force is zero. F-6 kN F=8 kN F 6 kN F=4 kN 888
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
![888
Example
If F=5 kN and = 30, determine the magnitude of
the resultant force and its direction, measured counter-
clockwise from the positive x axis
N19
SOLUTION
Scalar Notation. Summing the force components along x and y axes algebraically
by referring to Fig. a.
(FR),= XF,: (FR), = 5 sin 30 + 6
4 sin 15= 7.465 kN
+1(FR), = EF: (Fr), = 4 cos 15 + 5 cos 30 = 8.194 kN 1
By referring to Fig. b, the magnitude of the resultant force is
V7.4652 + 8.194 = 11.08 kN = 11.1 kN Ans.
+ A =
And its directional angle e mcasured counterclockwise from the positive
SI SIXE X
8.194
03 tan
= tan
= 47.67° = 47.7°
Ans.
7.465
Example Determine the x and y components of each force
acting on the gusset plate of a bridge truss. Show that the
resultant force is zero.
F=6 kN
F=8 kN
F= 4 kN
NY9 =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F675e0ef9-0ca0-4d25-aa6a-1be904fb0f2d%2Ff31a2910-a5a7-459f-a942-1932c087c90f%2Fn19r1dq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:888
Example
If F=5 kN and = 30, determine the magnitude of
the resultant force and its direction, measured counter-
clockwise from the positive x axis
N19
SOLUTION
Scalar Notation. Summing the force components along x and y axes algebraically
by referring to Fig. a.
(FR),= XF,: (FR), = 5 sin 30 + 6
4 sin 15= 7.465 kN
+1(FR), = EF: (Fr), = 4 cos 15 + 5 cos 30 = 8.194 kN 1
By referring to Fig. b, the magnitude of the resultant force is
V7.4652 + 8.194 = 11.08 kN = 11.1 kN Ans.
+ A =
And its directional angle e mcasured counterclockwise from the positive
SI SIXE X
8.194
03 tan
= tan
= 47.67° = 47.7°
Ans.
7.465
Example Determine the x and y components of each force
acting on the gusset plate of a bridge truss. Show that the
resultant force is zero.
F=6 kN
F=8 kN
F= 4 kN
NY9 =
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