Concept explainers
Using excel, plot the graph shows the deflection of a beam and also calculate the maximum deflection of the beam.
Answer to Problem 12P
Using excel, a table and graph is created to shows the deflection of a beam and the maximum deflection of the beam is
Explanation of Solution
Given data:
The length of the cantilever beam is
The modulus of elasticity
That is,
The second moment of area
That is,
The distributed load
Formula used:
Formula to calculate the deflection of the cantilever of the beam is,
Here,
Calculation:
Consider the distance (x) from the support as shown with the range from
Refer to the Figure 1:
Column A shows the distance
Column B shows the deflection
Here, A2 cell represent the distance
Table 1 shows the distance
Refer to the Figure 14.16 in the textbook.
Draw the graph for the distance
For X-axis, scale change is done by clicking the Layout on toolbar and picks the “Axes”. Choose the primary horizontal axis and select the “More Primary Horizontal Axis Options”. A dialog box of Format axis shows the axis option in that click the fixed and type the minimum value as 0, maximum value as 5, and major unit as 1 and minor unit as 0.2 and click the close option.
Likewise for Y-axis, scale change is done by clicking the Layout on toolbar and picks the “Axes”. Choose the primary vertical axis and select the “More Primary Vertical Axis Options”. A dialog box of Format axis shows the axis option in that click the fixed and type the minimum value as
Figure 2 shows the curve of the deflection of a cantilever beam.
For the maximum deflection of the beam, the distance
That is,
Given,
Substitute the unit
Substitute
Thus, the maximum deflection of the beam is
Conclusion:
Hence, a table and graph is created using excel to shows the deflection of a beam and the maximum deflection of the beam is
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Chapter 14 Solutions
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- Engineering Fundamentals: An Introduction to Engi...Civil EngineeringISBN:9781305084766Author:Saeed MoaveniPublisher:Cengage Learning