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Jan 9, 2024
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Shear Strength of Bolts: Data Analysis and Reporting Specifications
XI.
Analysis of Data
Recall the objective of Mini Lab: Validate the formula, equation 1, predicting the critical load to failure for a bolt loaded in double shear. This will be accomplished by experimentally observing the failure load then comparing that to the load predicted by theory.
XII.
Prepare Mini Lab Report
Prepare a mini lab report in accordance with the following guidelines: Refer to Sample Mini Report at end of this document.
Format: Memo style as follows:
Date: mo/day/year
To: Instructor
From: Student name
Subject: Lab ID and Lab Name
Content
The mini lab report shall contain three sections only: Results, Q&A, and Appendix as specified below: I.
Results:
This section shall present results in the form of Tables and Captioned Figures as specified:
Tables One table required;
Table 1: Compare predicted and observed of: P
CRIT
:
Failure loads (4 specimens)
τ
ULT
:
Ultimate shear strength
Table shall report the uncertainties in the observed and predicted values
±
Δ
OBS’D
and ±
Δ
PRED’D
Table shall report the % deviation
%deviation=(observed-predicted)predicted100
Table shall report the Total Error as a % %Total Error
=∆ObservedObserved+∆PredictedPredicted*100
Tables shall report values with appropriate significant figures.
Refer to Table 1 at the end of this document for an example of the typical comparative table.
Captioned Figures: One captioned figure is required: Figure 1 One chart shall contain two plots:
One plot of the observed P
CRIT
vs. Area
Observed: plot with ‘markers’ NO LINES
One plot of the predicted P
CRIT
vs. Area
Predicted: plot with smooth solid lines NO MARKERS
ALL captioned figures shall be numbered and captioned Axes of plots shall be labeled with appropriate units
Markers will describe observed data
Solid lines will describe theoretical, predicted or published behaviors
Captions shall contain three to four descriptive sentences to identify the plots and to highlight the significance of the information revealed in the plot. Refer to Figure 2 below for an example of the typical captioned figure. II.
Q&A
This section gives you an opportunity to demonstrate the extent that you know, understand and are able to apply the principles associated with the Mini Lab. Please keep your responses short, concise
and thoughtful. Please reply in complete sentences. Bulleted lists are fine if appropriate. Number each response using the Q#.# below and please re-
state each question immediately prior to each response. Issue 1: Assumptions: Don’t these make an ass out of u and me??
The objective of this lab is to experimentally validate the formulas for predicting the load to failure of bolts in shear. The main assumption is that failure load is proportional to the cross section area. See eq. 1above.
Q1.1
Is the observed behavior consistent with the assumed dependence on area? Explain. Now consider the test fixture. It is intended to load the bolt in pure shear. Inspect the fixture. Inspect the bolt specimens after failure.
Q1.2.a
What evidence would suggest the bolt was in pure shear when loaded to failure? Q1.2.b
What evidence would suggest the bolt was not
in pure shear when loaded to failure? Q1.2.c
To what extent were the bolts specimens actually loaded in pure shear? Explain. Take note of differences between smaller diameter and larger diameter specimens.
Issue 2 Conclusions: Is the Theory, Prediction or Publication Valid??
Criterion for validation of a prediction by experimental observation is somewhat arbitrary. In this lab (ENGR2460L)
a prediction is deemed validated if the %Deviation < 25% AND if the %Total Error <25%. Even if arbitrary, this quantification
provides a sound basis for Conclusions
related to validation.
The Objective(s) of the Mini Lab cited in II above is to experimentally validate the formulas for predicting the torsional spring constant for straight and tapered shafts. Have the objectives been met? Depending on your assessment of the lab results, you might conclude that 1) All Objectives were achieved or 2) No Objectives were achieved or 3) Some Objectives were achieved and others were not. Therefore, answer a or b or c, below.
Q2.1.a If you conclude that All objectives were achieved, explain how the results reported in the Tables including the % deviation and total error are evidence of the validations.
Q2.1.b If you conclude that No objectives were achieved, explain how the results reported in the Tables including the % deviation and total error are evidence of the failure to validate.
Q2.1.c If you conclude that some objectives were achieved and some were not, explain how the quantified results reported in the Tables including the % deviation and total error are evidence of the validations or evidence of failure to validate.
Issue 3 Recommendations: How Can This Study Be Improved??
Think of Recommendations
as advice you would give to the next inquisitive person who might repeat the study, advice that would improve the usefulness or strength of the study. One path to improvement lies in reducing total error. The queries below seek identification of specific recommendations to reduce the error and uncertainty in the predicted and observed results. Q3.1.a Identify the largest single source of error/uncertainty in the Predicted
? Q3.1.b Estimate the magnitude of 3.1.a with respect to the Δ
Predicted?
Q3.1.c Make a recommendation aimed to reduce the magnitude of the error in 3.1.a. Q3.2.a Identify the largest single source of error/uncertainty in the Observed
? Q3.2.b Estimate the magnitude of 3.2.a with respect to the Δ
Observed?
Q3.2.c Make a recommendation aimed to reduce the magnitude of the error in 3.2.a. REMEMBER: Experiment Validates Predictor:
If Maximum Error is reasonable (say < 20%) AND
If Deviation (%) < Maximum Error (%)
Appendix
Appendix A
Measurements & Observations:
Include tabulations of all measurements Copy/paste Excel templates, Remove the color used to fill the fields
Appendix B
Formulas and Sample Computations
Estimation of Predicted and Observed Parameter(s)
Estimation of Uncertainties in Predicted and Observed Parameter(s)
Partial Derivative Method
High Low Method
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