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The T-shaped structure is embedded in a concrete wall at A and subjected to the force F₁ and the force- couple system F2₂ = 1550 N and M = 1,850 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 F, in the direction shown if the connection at 4 will fail when subjected to a resultant moment with a magnitude of 880 N-m or higher. b.) Focusing on the forces and ignoring given M for now. Using the value for F₁,mn 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 Fog 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). c.) Now, model the entire force system (Fimin. F₂, and M) as a single force and couple acting at the

The T-shaped structure is embedded in a concrete wall at A and subjected to the force F₁ and the force- couple system F2₂ = 1550 N and M = 1,850 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 F, in the direction shown if the connection at 4 will fail when subjected to a resultant moment with a magnitude of 880 N-m or higher. b.) Focusing on the forces and ignoring given M for now. Using the value for F₁,mn 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 Fog 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). c.) Now, model the entire force system (Fimin. F₂, and M) as a single force and couple acting at the

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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The T-shaped structure is embedded in a concrete wall at A and subjected to the force F₁ and the force- couple system F₂ = 1550 N and M = 1,850 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 880 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 Fin 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). 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 b A с 0 a.) The magnitude of F₁ must be between F₁,min N. 0 Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value 1.10 m 1.54 m 1.05 m 22.0⁰ → b.) The equivalent force is Fog=( eq The horizontal distance from A to its line of action is F₁ F₂ c.) The force system can be modeled by an equivalent force of Fcg= 3) N acting at the junction along with a couple of M N and F₁,max= k) N-m. m. 3) N.
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 = 1550 N and M = 1,850 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 880 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 Fin 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). 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 b A с 0 a.) The magnitude of F₁ must be between F₁,min N. 0 Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value 1.10 m 1.54 m 1.05 m 22.0⁰ → b.) The equivalent force is Fog=( eq The horizontal distance from A to its line of action is F₁ F₂ c.) The force system can be modeled by an equivalent force of Fcg= 3) N acting at the junction along with a couple of M N and F₁,max= k) N-m. m. 3) N.
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