Knowing that P₁ = 17.8 kN and P₂ = 9.6 kN, determine the force in each truss member using the Method of Joints. Enter the force in member AB below. Express your answer in kN to the nearest 100 N. Enter a positive number for tension or a negative number for compression. 30° 3m D 30° 3 m 5 P₂ P₁ For practice, you should verify your results using the Method of Sections.

Knowing that P₁ = 17.8 kN and P₂ = 9.6 kN, determine the force in each truss member using the Method of Joints. Enter the force in member AB below. Express your answer in kN to the nearest 100 N. Enter a positive number for tension or a negative number for compression. 30° 3m D 30° 3 m 5 P₂ P₁ For practice, you should verify your results using the Method of Sections.

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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Concept explainers

System of Forces

A force is an external influence or agent that changes the state of a system. According to Newton's second law, the force applied to a body is proportional to the change in momentum of a body. Hence, whenever a force is applied to a body, its momentum changes. If the body is at rest, under the action of force, its state of rest changes to motion. In other words, the magnitude of the momentum of the body changes from zero to a measurable value. Similarly, if the body possesses some initial velocity, it has some associated momentum, the effect of force can cause the body to halt or come to rest, that is, the momentum reduces to zero.

Question

Knowing that P₁ = 17.8 kN and P₂ = 9.6 kN, determine the force in each truss member using the
Method of Joints. Enter the force in member AB below. Express your answer in KN to the nearest
100 N. Enter a positive number for tension or a negative number for compression.
30°
-3 m
D
3 m
For practice, you should verify your results using the Method of Sections.

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Step 1: Determine the given data.

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Step 3: Determine the member force in joint D.

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Step 4: Determine the member force in joint B.

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Step 5: Check using method of section.

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Step 6: Determine the force in member using method of section.

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