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Problem 5: F₁ Inputs: a y F2 ● System 1 P F3 M₁ a = 2 ft b= 5 ft F₁ = 50 lb F₂ = 20 lb F3 = 20 lb M₁ = 30 ft-lb X F4 M₂ ● System 2 P a a = same b= same F4 = 20 lb F5 = unknown F6 = 8 lb M₂=unknown F5 F6 X We will make system 1 equivalent to system 2. As with all 2D equivalent system problems, we will start by summing forces in the x-direction, summing forces in the y-direction, and summing moments about any point. We will do this for the "original system" which we will consider system 1. Then we must ensure the exact same things take place in system 2. a) Compute the required value of F5 such that the EFX in system 1 is the same as in system 2 b) Confirm that the EF, is the same in both systems c) Compute the required value of M₂ such that the EMo in system 1 is the same as in system 2. You must use point O as your reference point for both systems. d) Confirm your answers by summing moments about point P instead. System 1 must still be the same as system 2 if they are truly equivalent. You must use point P as your reference point in both systems.

Problem 5: F₁ Inputs: a y F2 ● System 1 P F3 M₁ a = 2 ft b= 5 ft F₁ = 50 lb F₂ = 20 lb F3 = 20 lb M₁ = 30 ft-lb X F4 M₂ ● System 2 P a a = same b= same F4 = 20 lb F5 = unknown F6 = 8 lb M₂=unknown F5 F6 X We will make system 1 equivalent to system 2. As with all 2D equivalent system problems, we will start by summing forces in the x-direction, summing forces in the y-direction, and summing moments about any point. We will do this for the "original system" which we will consider system 1. Then we must ensure the exact same things take place in system 2. a) Compute the required value of F5 such that the EFX in system 1 is the same as in system 2 b) Confirm that the EF, is the same in both systems c) Compute the required value of M₂ such that the EMo in system 1 is the same as in system 2. You must use point O as your reference point for both systems. d) Confirm your answers by summing moments about point P instead. System 1 must still be the same as system 2 if they are truly equivalent. You must use point P as your reference point in both systems.

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Problem 5: F₁ Inputs: a V F₂ ● ● System 1 b P F3 M₁ a = 2 ft b = 5 ft F₁ = 50 lb F₂ = 20 lb F3 = 20 lb M₁ = 30 ft-lb ·X F4 M₂ 0 ● ● System 2 b P a a = same b = same F4 = 20 lb F5 = unknown F6 = 8 lb M₂ = unknown F5 F6 X We will make system 1 equivalent to system 2. As with all 2D equivalent system problems, we will start by summing forces in the x-direction, summing forces in the y-direction, and summing moments about any point. We will do this for the "original system" which we will consider system 1. Then we must ensure the exact same things take place in system 2. a) Compute the required value of F5 such that the Fx in system 1 is the same as in system 2 b) Confirm that the EF, is the same in both systems c) Compute the required value of M₂ such that the EMo in system 1 is the same as in system 2. You must use point O as your reference point for both systems. d) Confirm your answers by summing moments about point P instead. System 1 must still be the same as system 2 if they are truly equivalent. You must use point P as your reference point in both systems.
Transcribed Image Text:Problem 5: F₁ Inputs: a V F₂ ● ● System 1 b P F3 M₁ a = 2 ft b = 5 ft F₁ = 50 lb F₂ = 20 lb F3 = 20 lb M₁ = 30 ft-lb ·X F4 M₂ 0 ● ● System 2 b P a a = same b = same F4 = 20 lb F5 = unknown F6 = 8 lb M₂ = unknown F5 F6 X We will make system 1 equivalent to system 2. As with all 2D equivalent system problems, we will start by summing forces in the x-direction, summing forces in the y-direction, and summing moments about any point. We will do this for the "original system" which we will consider system 1. Then we must ensure the exact same things take place in system 2. a) Compute the required value of F5 such that the Fx in system 1 is the same as in system 2 b) Confirm that the EF, is the same in both systems c) Compute the required value of M₂ such that the EMo in system 1 is the same as in system 2. You must use point O as your reference point for both systems. d) Confirm your answers by summing moments about point P instead. System 1 must still be the same as system 2 if they are truly equivalent. You must use point P as your reference point in both systems.
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