The Built Up Beam shown is made by connecting two channel shapes and two plates, using 0.75" diameter bolts spaced length wise at 7.5". Determine the force on EACH bolt if the shear force on the beam is 25 kips

The Built Up Beam shown is made by connecting two channel shapes and two plates, using 0.75" diameter bolts spaced length wise at 7.5". Determine the force on EACH bolt if the shear force on the beam is 25 kips

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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Question

Shear Flow
The Built Up Beam shown is made by connecting two channel shapes and
two plates, using 0.75" diameter bolts spaced length wise at 7.5".
Determine the force on EACH bolt if the shear force on the beam is 25 kips
16 in. X in.
Moment of Inertia
C12 x 20.7
Correct Answer

Expert Solution

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Step 1: Draw the schematic diagram for the beam as follows;

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Step 2: Obtain the following properties from appendix C properties of Rolled-steel shapes-C Shapes;

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Step 3: Calculate the moment of inertia for a top plate from the centroid axis as follows;

VIEW

Step 4: Calculate the moment of inertia for the whole beam as follows;

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Step 5: Calculate the cross-sectional area of the bolt;

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