The T-shaped structure is embedded in a concrete wall at A and subjected to the force and the force-couple system 1550 N and 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 in the direction shown if the connection at 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 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 Fein 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. Variable Value a b A С 0 -b Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. 492 1.10 m. 1.54 m 1.05 m 22.0° F₁ → b.) The equivalent force is Fe( F₂ a.) The magnitude of F₁ must be between F1,min= 1316 xN and F1,max= 3018 XN. -329 M ) N. The horizontal distance from A to its line of action is 2.67 x m. 329 X ) N acting at the junction along with a couple of 372 X )N-m. X c.) The force system can be modeled by an equivalent force of -492
The T-shaped structure is embedded in a concrete wall at A and subjected to the force and the force-couple system 1550 N and 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 in the direction shown if the connection at 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 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 Fein 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. Variable Value a b A С 0 -b Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. 492 1.10 m. 1.54 m 1.05 m 22.0° F₁ → b.) The equivalent force is Fe( F₂ a.) The magnitude of F₁ must be between F1,min= 1316 xN and F1,max= 3018 XN. -329 M ) N. The horizontal distance from A to its line of action is 2.67 x m. 329 X ) N acting at the junction along with a couple of 372 X )N-m. X c.) The force system can be modeled by an equivalent force of -492
International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter4: Coplanar Equilibrium Analysis
Section: Chapter Questions
Problem 4.129P: The uniform 240-lb bar AB is held in the position shown by the cable AC. Compute the tension in the...
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Step 1: Determine maximum and minimum value of force, F1, equivalent force, etc.
VIEWStep 2: Calculation of maximum and minimum value of F1
VIEWStep 3: Calculation of equivalent force and its location on horizontal from point A
VIEWStep 4: Calculation of equivalent force couple moment at the junction
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