b.) Using the value for F1,min that you calculated in (a), replace the two forces F₁ and F2 with a single force that has equivalent effect on the structure. Specify the equivalent force Feq in Cartesian components and indicate the horizontal distance from point A to its line of action (note this line of action may not intersect the structure) (IGNORE Applied couple Moment, M, in this part). 3) N. The equivalent force is Feq î+ The horizontal distance from A to its line of action is c.) Model the entire force system (F1,min, F2, and M) as a single force and couple acting at the junction of the horizontal and vertical sections of the structure. Enter your answers in Cartesian components. The force system can be modeled by an equivalent force of Fe Feq m. 3) N acting at the junction along with a couple of k) N-m.
b.) Using the value for F1,min that you calculated in (a), replace the two forces F₁ and F2 with a single force that has equivalent effect on the structure. Specify the equivalent force Feq in Cartesian components and indicate the horizontal distance from point A to its line of action (note this line of action may not intersect the structure) (IGNORE Applied couple Moment, M, in this part). 3) N. The equivalent force is Feq î+ The horizontal distance from A to its line of action is c.) Model the entire force system (F1,min, F2, and M) as a single force and couple acting at the junction of the horizontal and vertical sections of the structure. Enter your answers in Cartesian components. The force system can be modeled by an equivalent force of Fe Feq m. 3) N acting at the junction along with a couple of k) N-m.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
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Transcribed Image Text:The T-shaped structure is embedded in a concrete wall at A and subjected to the force F₁ and the force-
couple system F2 = 1340 N and M = 1950 N-m at the locations shown. Neglect the weight of the
structure in your calculations for this problem.
a
b
A
с
0
F1
Values for dimensions on the figure are given in the following table. Note the figure may not be to scale.
Variable Value
1.50 m
1.80 m
1.43 m
20.0⁰
F2
M
a.) Compute allowable range of magnitudes F₁ in the direction sho if the connection at A will
fail when subjected to a resultant moment with a magnitude of 1000 N-m or higher.
N and F1,max
The magnitude of F₁ must be between F1,min 1224.63
2888.52
N.
Transcribed Image Text:a.) Compute the allowable range of magnitudes for F₁ in the direction shown if the connection at A will
fail when subjected to a resultant moment with a magnitude of 1000 N-m or higher.
The magnitude of F₁ must be between F1,min = 1224.63
N and F1,max
The equivalent force is Fe = (
eq
b.) Using the value for F1,min that you calculated in (a), replace the two forces F₁ and F₂ with a single
force that has equivalent effect on the structure. Specify the equivalent force Feq in Cartesian components
and indicate the horizontal distance from point A to its line of action (note this line of action may not
intersect the structure) (IGNORE Applied couple Moment, M, in this part).
3) N.
The horizontal distance from A to its line of action is
=
The force system can be modeled by an equivalent force of Feq
3) N
acting at the junction along with a couple of
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2888.52
m.
c.) Model the entire force system (F1,min, F2, and M) as a single force and couple acting at the junction of
the horizontal and vertical sections of the structure. Enter your answers in Cartesian components.
ke) N-m.
N.
î+
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