The T-shaped structure is embedded in a concrete wall at A and subjected to the force F₁ and the force-couple system F2 1640 N and M = 1,950 N-m at the locations shown. Neglect the weight of the structure in your calculations for this problem. = 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 800 N- m or higher. b.) Focusing on the forces and igonoring given M for now. 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 F in Cartesian components and indicate the eq horizontal distance from point A to its line of action (note this line of action may not intersect the structure). c.) Now, 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. A F1 F2 M Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 1.00 m b 1.35 m с 0.850 m Ө 26.0° a.) The magnitude of F₁ must be between F1,min N and F1,max N. b.) The equivalent force is F eq = + Ĵ) N. The horizontal distance from A to its line of action is m. c.) The force system can be modeled by an equivalent force of F = eq ₁ + Ĵ) N acting at the junction along with a couple of k) N-m.
The T-shaped structure is embedded in a concrete wall at A and subjected to the force F₁ and the force-couple system F2 1640 N and M = 1,950 N-m at the locations shown. Neglect the weight of the structure in your calculations for this problem. = 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 800 N- m or higher. b.) Focusing on the forces and igonoring given M for now. 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 F in Cartesian components and indicate the eq horizontal distance from point A to its line of action (note this line of action may not intersect the structure). c.) Now, 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. A F1 F2 M Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 1.00 m b 1.35 m с 0.850 m Ө 26.0° a.) The magnitude of F₁ must be between F1,min N and F1,max N. b.) The equivalent force is F eq = + Ĵ) N. The horizontal distance from A to its line of action is m. c.) The force system can be modeled by an equivalent force of F = eq ₁ + Ĵ) N acting at the junction along with a couple of k) N-m.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
Please show all work, steps and round final answer to 3 sig figs.
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 1640 N and M = 1,950 N-m at the locations shown.
Neglect the weight of the structure in your calculations for
this problem.
=
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 800 N-
m or higher.
b.) Focusing on the forces and igonoring given M for now.
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 F in Cartesian components and indicate the
eq
horizontal distance from point A to its line of action (note
this line of action may not intersect the structure).
c.) Now, 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.
A
F1
F2
M
Values for dimensions on the figure are given in the following
table. Note the figure may not be to scale.
Variable
Value
a
1.00 m
b
1.35 m
с
0.850 m
Ө
26.0°
a.) The magnitude of F₁ must be between F1,min
N and F1,max
N.
b.) The equivalent force is F
eq
=
+
Ĵ) N.
The horizontal distance from A to its line of action is
m.
c.) The force system can be modeled by an equivalent force
of F
=
eq
₁ +
Ĵ) N
acting at the junction along with a couple of
k) N-m.
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