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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 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 0 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 √ + 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 0 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 √ + Ĵ) N acting at the junction along with a couple of k) N-m.

International Edition---engineering Mechanics: Statics, 4th Edition
International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter6: Beams And Cables
Section: Chapter Questions
Problem 6.4P: Find the internal force systems acting on sections 1 and 2.
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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 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 0 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 √ + Ĵ) N acting at the junction along with a couple of k) N-m.
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 0 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 √ + Ĵ) N acting at the junction along with a couple of k) N-m.
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