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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Concept explainers

Graphical Methods

The graphical method is a method of solving equations involving more than one variable using the Cartesian coordinate system. In civil engineering, the use of the graphical method is limited to the problems involving two variables. The graphical method has a great impact in solving the questions regarding engineering mechanics.

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;

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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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