90 mm 90 mm Ε΄ -120 mm- 250 N 250 N B 900 N D PROBLEM 3.87 The shearing forces exerted on the cross section of a steel channel can be represented by a 900-N vertical force and two 250-N horizontal forces as shown. Replace this force and couple with a single force F applied at Point C, and determine the distance x from C to line BD. (Point C is defined as the shear center of the section.)

International Edition---engineering Mechanics: Statics, 4th Edition
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ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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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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90 mm
90 mm
E
-120 mm-
250 N
250 N
+X
B
900 N
D
PROBLEM 3.87
The shearing forces exerted on the cross section of a steel channel can be
represented by a 900-N vertical force and two 250-N horizontal forces as
shown. Replace this force and couple with a single force F applied at
Point C, and determine the distance x from C to line BD. (Point C is
defined as the shear center of the section.)
Transcribed Image Text:90 mm 90 mm E -120 mm- 250 N 250 N +X B 900 N D PROBLEM 3.87 The shearing forces exerted on the cross section of a steel channel can be represented by a 900-N vertical force and two 250-N horizontal forces as shown. Replace this force and couple with a single force F applied at Point C, and determine the distance x from C to line BD. (Point C is defined as the shear center of the section.)
Expert Solution
Step 1

Introduction

In this issue, we will calculate the distance (x) from C to line BD by first calculating the moment due to horizontal force on the channel and then calculating the moment due to vertical force sifted at C. We may calculate the distance (x) from the line BD by comparing these two moments.

Given data:

the veetical shearing force exerted on the cross sectionFv=900 Nthe horizonal shearing fore exerted on the cross sectionFh=250 Nthe width of the channelw=120 mmthe height of the channelh=180 mm

 

Determine:

The distance x from C to line BD.

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