MMAN1300 Shear Force Bending Moment Experiment S2 2015

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MMAN1300 Shear Force Bending Moment Experiment S2 2015

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MMAN1300 Shear Force and Bending Moment Laboratory Experiment for Statics

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SCHOOL OF MECHANICAL AND MANUFACTURING ENGINEERING

ENGINEERING MECHANICS MMAN 1300

Master your semester with Scribd SHEAR FORCE & BENDING MOMENT  Read Free Foron 30this Days Sign up to vote title  & The New York Times  Useful  Not useful Special offer for students: Only $4.99/month.

IN A BEAM

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LABORATORY CLASS

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This lab experiment will be performed during your assigned lab time (see Moodle) in We and the report is due at the end of Week 13. The lab equipment is available in Undergraduate Teaching Laboratory (UTL) on the ground floor of the Willis Annexe (J18) available from 9am – 1pm and from 2pm – 4pm from Monday to Friday in week 12.

There are two parts to this lab – Part A Shear Force and Part B Bending Moment. Each pa carried out on a separate rig in the UTL. Choose a partner within the course and attend experiment as a pair. Each pair of students will work on one of the rigs for half an hour an the other rig for a further half an hour. Time is short, so come prepared to do measurem and leave your calculations until after you leave the laboratory. Videos explaining experimental procedure procedure are available on Moodle.

Before you enter the laboratory you need to have viewed the videos which also contain sa information. A copy of the Safe Work Procedure (SWP) and Risk Management (RM) form available in in Moodle and you will be required to read and sign these in the laboratory be using the experimental equipment. Enclosed footwear is required to enter the laboratory.

The report will be given a mark out of 50, which will be scaled to a mark out of 4 for the cou The marking criteria is included at the end of this document.

PART A: INTRODUCTION

This group of experiments demonstrates how to perform Shear Force in a Beam experimen

Master your semester with Scribd Instrumentation  Read Free Foron 30this Days Sign up to vote title  & The New York Times Useful  Not useful  Figure 1 shows the complete experimental frame with the Digital Force Display (D.F.D.) u Cancel anytime.

Special offer forposition. students: Only $4.99/month. It consists of a beam which is “cut”. To stop the beam collapsing, a mechanism (w

allows movement in the shear direction only) bridges the cut on a load cell thus reacting

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This lab experiment will be performed during your assigned lab time (see Moodle) in We and the report is due at the end of Week 13. The lab equipment is available in Undergraduate Teaching Laboratory (UTL) on the ground floor of the Willis Annexe (J18) available from 9am – 1pm and from 2pm – 4pm from Monday to Friday in week 12.

There are two parts to this lab – Part A Shear Force and Part B Bending Moment. Each pa carried out on a separate rig in the UTL. Choose a partner within the course and attend experiment as a pair. Each pair of students will work on one of the rigs for half an hour an the other rig for a further half an hour. Time is short, so come prepared to do measurem and leave your calculations until after you leave the laboratory. Videos explaining experimental procedure procedure are available on Moodle.

Before you enter the laboratory you need to have viewed the videos which also contain sa information. A copy of the Safe Work Procedure (SWP) and Risk Management (RM) form available in in Moodle and you will be required to read and sign these in the laboratory be using the experimental equipment. Enclosed footwear is required to enter the laboratory.

The report will be given a mark out of 50, which will be scaled to a mark out of 4 for the cou The marking criteria is included at the end of this document.

PART A: INTRODUCTION

This group of experiments demonstrates how to perform Shear Force in a Beam experimen

Master your semester with Scribd Instrumentation  Read Free Foron 30this Days Sign up to vote title  & The New York Times Useful  Not useful  Figure 1 shows the complete experimental frame with the Digital Force Display (D.F.D.) u Cancel anytime.

Special offer forposition. students: Only $4.99/month. It consists of a beam which is “cut”. To stop the beam collapsing, a mechanism (w

allows movement in the shear direction only) bridges the cut on a load cell thus reacting

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Master your semesterFigure with Scribd  1: Shear Force in a Beam experimental frame Read Free Foron 30this Days Sign up to vote title  & The New York Times Useful Not useful   Figure 2 shows the Force Display Unit in detail while Figure 3 shows load-carrying hooks Cancel anytime.

Special offer formasses students:inOnly $4.99/month. position; one unloaded hook with the base has the same mass as one of the discs

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Figure 2: Digital Force Display Unit

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Figure 3: Load carrying hooks with mass

Make sure that the Digital Force Display is “ON”. C onnect the mini DN lead from “Force Inp on the Digital Force Display to the socket marked “Force Output” on the left -hand suppo You're Reading a Preview the equipment. Ensure that the lead does not touch the beam. Unlock full access with a free trial.

Carefully zero the force meter using the dial on the left-hand support. Gently apply a small with a finger to the centre of the beam and release. Zero the meter again if necessary. Re Download With Free Trial to ensure the meter returns to zero.

Master your semester with Scribd  Note: If the meter does not show zero, but is nearly zero at up ±0.1N, lightly tap Read Free For 30this Days Sign to vote on titlethe frame ( may beYork a little “stiction” & The New Timesand this should overcome it).  Useful  Not useful  Special offer for students: Only $4.99/month.

How students will perform experiments and submit reports

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Complete header sheet and submit whole report (one per student) as a PDF file to Mood 5pm Friday 30 October 2015 (Week 13) for assessment. Load selection variables based on student number

The typical student number has 7 digits. Label these from the left as a,b,c,d,e,f & g (e.g. fo student number 3295406 ‘a’ would equal 3 and ‘g’ would equal 6). Loads and distances should be selected by each student are given in the table below. Load W 1 (for Exp. 2, 3, 4)

Load W 2 (for Exp. 3, 4)

Distance a Exp. 2, 3, 4)

100g, if d=0, 1 200g, if d=2, 3 300g, if d=4, 5 400g, if d=6, 7 500g, if d=8, 9

100g, if e=0, 1 200g, if e=2, 3 300g, if e=4, 5 400g, if e=6, 7 500g, if e=8, 9

60mm, if f=0, 1 80mm, if f=2, 3 100mm, if f=4, 5 120mm, if f=6, 7 140mm, if f=8, 9

Student numbers

1. 2.

(for

Distance Exp. 3)

b

(for

180mm, if g=0, 1 200mm, if g=2, 3 220mm, if g=4, 5 240mm, if g=6, 7 260mm, if g=8, 9

Distance Exp. 4)

340mm, 340mm, 360mm, 380mm, 400mm,

Selected student number for load and distance variable You're Reading a Preview selection Unlock full access with a free trial.

Download With Free Trial


Read Free Foron 30this Days Sign up to vote title

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2. EXPERIMENT 1: Shear force variation with an increasing point load

This experiment examines how Shear Force varies with increasing point load. Figure 4 s

the equipment set-up and the force diagram for the beam. All groups will perform the s experiment, using the same values for a, l , and W .

You're Reading a Preview Unlock full access with a free trial.

W C

a =With 260mm Download Free Trial l = 440mm

Master your semester with Scribd Read Free Foron 30this Days Sign up to vote title & The New York TimesFigure 4: Experiment 1 set-up andForce Useful Diagram  Not useful R A

Special offer for students: Only $4.99/month.

Cancel anytime.

The equation to be used to determine the theoretical Shear Force at the cut is:

R

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You may find the following table useful in converting the masses used in the experimen loads. Table 1: Grams to Newtons Conversion Table

Mass (g)

Load (N)

100 200 300 400 500

0.98 1.96 2.94 3.92 4.90

Check that the Digital Force Display meter reads zero with no load.

Place a hanger with a 100g mass to the left of the cut (40mm away). Record, in Table 2

force reading on the meter. Repeat, using masses of 200g, 300g, 400g, and 500g. Conver

mass into a load (in N). Remember, the experimental Shear Force at the cut in Newtons f experiments is:

You're Reading a Preview       =   Unlock full access with a free trial.

Calculate the theoretical Shear Force at the cut and complete Table 2. Download With Free Trial Calculations:



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Plot a graph which compares your experimental results to those you calculated using theory. Use MS Excel or other plotting software to generate this graph and insert it below.

5 4.5 4 3.5

) N ( 3 e c r o 2.5 F r a e 2 h S

1.5 1 0.5 0 0

100

200

300

400

5

of Load Applied (g) You'reMass Reading a Preview Unlock full access with a free trial.

Download With Free Trial Discussion

Master your semester with Scribd  Read Free Foron 30this Days Sign up to vote title Comment on the shape of the graph. What does it say about how Shear Force variesdue t & The New York Times  Useful predict  Not useful increasing load? Does the equation recommended accurately the behaviour o Special offer forbeam? students: Only $4.99/month.

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3. EXPERIMENT 2: Shear Force variation away from the point of l oading

This experiment examines how Shear Force varies at the cut position, C , for various loa conditions. W 1 and a vary according to groups.

You're Reading a Preview

C

Unlock full access with a free trial.

a

l = 440mm

W 1 R A


Figure 5: Experiment 2 set-up and Force Diagram

Master your semester with Scribd  Read Free Foron 30this Days Sign up to vote title  & The New York Times Useful  Not useful  The Shear Force at the cut position, C , is equal to the algebraic sum of the forces acting to Special offer for students: Only $4.99/month.

left and the right of C .

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Calculations:

Record your results in Table 3.


Table 3: Results for Experiment 2 Unlock full access with a free trial.

W 1 (N)

Experimental R A (N) RB (N) S.F. (N)Download With Free Trial

Master your semester with Scribd Discussion & The New York Times Special offer for students: Only $4.99/month.

Theoretical S.F. (N)


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4. EXPERIMENT 3: Shear Force variation away from the point of loading

This experiment examines how Shear Force varies at the cut position, C , for various loa conditions. Dimensions a and b and loads W 1 and W 2 vary according to groups.

W W You're Reading a Preview 2

1

C

Unlock full access with a free trial. a

b

Download With Free Triall = 440mm R A

Master your semester Figure with6: Experiment Scribd3 set-up andRead Force Diagram  Free Foron 30this Days Sign up to vote title  & The New York Times Not useful The Shear Force at the cut position, C , is equal to the algebraic the forces acting to  Useful sum of Special offer forleft students: Onlyright $4.99/month. and the of C .

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Calculations:

Record your readings in Table 4.

You're Reading a Preview Table 4: Results for Experiment Unlock full access with a free trial. 3

W 1 (N)

W 2 (N)

Experimental R A (N) Download With Free Trial S.F. (N)

Master your semester with Scribd & The New York Times Discussion Special offer for students: Only $4.99/month.

RB (N)



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5. EXPERIMENT 4: Shear Force variation away from the point of loading This experiment examines how Shear Force varies at the cut position, C , for various loa conditions. Dimensions a and b and loads W 1 and W 2 vary according to groups.

W 2

W 1


C

Unlocka full access with a free trial.

b

l = 440mm

R A


R

Figure 7: Experiment 4 set-up and Force Diagram

Master your semester with Scribd  Read Free Forof 30the Days Sign up tosum vote on this title The Shear Force at the cut position, C , is equal to the algebraic forces acting to  & The New York Times  Useful  Not useful left and the right of C . Special offer for students: Only $4.99/month.

Cancel anytime.

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Calculations:



W 1 (N)

W 2 (N)

Experimental R A (N) Download With Free Trial S.F. (N)


RB (N)



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OVERALL CONCLUSION

Comment on how the results of the experiments compare with those calculated using theo you were asked to include the self weight of the beam then how would the SFD look like an what comments you can make? Please specify appropriate sign convention.





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140mm 120mm 100mm 80mm 60mm 40mm R A

40mm 60mm 80mm 100mm 120mm 140mm 160mm 180mm


200mm 220mm


240mm

Master your 260mm semester with Scribd & The New York Times Cut position (300mm) Special offer for students: Only $4.99/month.


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PART B: INTRODUCTION

This group of experiments demonstrates how to perform Bending Moment in a B experiments. Instrumentation

Figure 9 shows the complete experimental frame with the Digital Force D isplay Unit in posi





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2. EXPERIMENT 1: Bending Moment variation at the point of loading

This experiment examines how Bending Moment varies at the point of loading. Figure 10

the equipment set-up and the force diagram for the beam. All groups will perform the s experiment, using the same values for a, l , and W .


W C

Unlock full access with a free trial. a = 300mm

Download With Free Trial l = 440mm R B

R A

Master your semester with Scribd Free Foron 30this Days Sign up to vote title Figure 10: Experiment 1 set-up andRead Force Diagram & The New York Times  Useful  Not useful Cancel anytime.

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equation to be used to calculate the theoretical Bending Moment at the cut is: Special offer forThe students: Only $4.99/month.

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You may find the following table useful in converting the masses used in the experimen loads. Table 5: Grams to Newtons Conversion Table

Mass (g)

Load (N)

100 200 300 400 500

0.98 1.96 2.94 3.92 4.90

Check that the Digital Force Display meter reads zero with no load.

Place a hanger with a 100g mass at the cut. Record the force reading in Table 2. Repeat, u

masses of 200g, 300g, 400g, and 500g. Convert the mass into a load (in N) and the force rea

into a Bending Moment (N·m). Remember, the experimental Bending Moment at the cut f experiments is:

You're Reading a Preview  . .  ℎ  ( ∙ ) =   × 0.125 Unlock full access with a free trial.

Calculate the theoretical Bending Moment at the cut and complete Table 2. Download With Free Trial Calculations:



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Plot a graph which compares your experimental results to those you calculated using theory. Use MS Excel or other plotting software to generate this graph and insert it below.

0.5 0.45 ) 0.4 m · N0.35 ( t n e 0.3 m o M0.25 g n i 0.2 d n e B 0.15

0.1 0.05 0 0

100

You're Reading a Preview 200 300

400

5

Mass of Load Applied (g) Unlock full access with a free trial.


Discussion Master your semester with Scribd  Read Free Foron 30this Days Sign up to vote title  & The New York Times Usefulhow Not usefulMoment var Comment on the shape of the graph. What does it sayabout Bending Special offer for students: Only $4.99/month.

Cancel anytime.

due to an increasing load? Does the equation recommended accurately predict the behavio

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3. EXPERIMENT 2: Bending Moment variation away from the point of loading

This experiment examines how bending moment varies at the cut position, C , for va loading conditions. W 1 and a vary according to groups.


C


a

l = 440mm

W 1 R A


Figure 11: Experiment 2 setup and force diagram

Master your semester with Scribd  Read Free Foron 30this Days Sign up to vote title  & The New York Times Useful Not useful   The Bending Moment at the cut position, C , is equal to the algebraic sum of the mom Special offer forcaused students: byOnly the$4.99/month. forces acting to the left and the right of C .

Cancel anytime.

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Calculations:

Record your results in Table 3.


Table 7: Results for Experiment 2 Unlock full access with a free trial.

W 1 (N)

Display Force (N)

Experimental R A (N) B.M. (N·m)With Free Trial Download

Master your semester with Scribd Discussion & The New York Times Special offer for students: Only $4.99/month.

RB (N)


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Theoret B.M. (N

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This experiment examines how Bending Moment varies at the cut position, C , for va loading conditions. Dimensions a and b and loads W 1 and W 2 vary according to groups.

W 2

W 1

C

You're Reading a Preview a b

l = 440mm

R A


R

Figure 12: Experiment 3 setup and force diagram Download With Free Trial

The Bending Moment at the cut position, C , is equal to the algebraic sum of the mom caused by the forces acting to the left and the right of C .  Read Free Foron 30this Days Sign up to vote title

Master your semester with Scribd & The New Check York that the Times D.F.D. meter reads zero with no load. Special offer for students: Only $4.99/month.

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Carefully load the beam with the hangers in the positions shown in Figure 2.

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Calculations:



W 1 (N)

W 2 (N)

Display Experimental R A (N) Download With Free Trial Force (N) B.M. (N·m)


RB (N)


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5. EXPERIMENT 4: Bending Moment variation away from the point of loading This experiment examines how Bending Moment varies at the cut position, C , for va loading conditions. Dimensions a and b and loads W 1 and W 2 vary according to groups.

W 2

W 1 C

You're Reading a Preview a b

l =trial. 440mm Unlock full access with a free

R

R A

Figure 13: Experiment 4 setup and force diagram Download With Free Trial

The Bending Moment at the cut position, C , is equal to the algebraic sum of the mom caused by the forces acting to the left and the right of C .  Read Free Foron 30this Days Sign up to vote title

Master your semester with Scribd & The New York Times Check that the D.F.D. meter reads zero with no load. Special offer for students: Only $4.99/month.

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Carefully load the beam with the hangers in the positions shown in Figure 13.

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Calculations:



W 1 (N)

W 2 (N)

Display Experimental R A (N) Download With Free Trial Force (N) B.M. (N·m)


RB (N)


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OVERALL CONCLUSION

Comment on how the results of the experiments compare with those calculated using theo you were asked to include the self weight of the beam then how would the BMD look like a what comments you can make? Please specify appropriate sign convention.





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140mm 120mm 100mm 80mm 60mm 40mm R A

40mm 60mm 80mm 100mm 120mm 140mm 160mm 180mm 200mm 220mm



240mm Master your semester with Scribd 260mm & The New York Times Special offer for students: Only $4.99/month.

Cut Position (300mm)


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Appendix: Marking criteria – this does not need to be included in your report



Sheet Music

Criterion

0 marks

1 mark

2 marks

3 mark

SF expt 1. Theoretical

Do not match

Values match (should

-

-

Clear plot showing similar

-

values match

be correct to 1 decimal

calculation in marking

place)

spreadsheet SF expt 1 Plot of

Incomplete / very

Non-linear results for

theoretical vs

messy plot

either set of data points results, both theoretical

experimental results SF expt 1 discussion

or widely divergent

and experimental results

results.

are linear.

No attempt to justify Basic restating of the

Mention of error but no

error

discussion of error sources an appr

facts evident in the

Errors d

plot.

in the s

provide SF expt 2 calculations

Clear error in

and theoretical results. calculation causing

Correct theoretical

Both theoretical and

value but incorrect

experimental values

incorrect theoretical experimental value or value SF expt 2 discussion

SF expt 3 calculations

-

correct.

vice versa

No attempt to justify Basic restating of the

Mention of error but no

error

discussion of error sources an appr

Clear error in

and theoretical results. calculation causing

facts.


in the s


provide

Correct theoretical

-

Both theoretical and

value but incorrect experimental values Download With Free Trial

incorrect theoretical experimental value or

value vice versa Master your semester with Scribd SF expt 3 discussion No attempt to justify Basic restating of the & The New York Times error facts. Special offer for students: Only $4.99/month.

Errors d

correct.

Read Free For 30this Days Sign up to vote on title Mention of error but no



Errors d 

Useful  useful discussion of Not error sources an appr Cancel anytime.

in the s

provide

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MMAN1300 Shear Force Bending Moment Experiment S2 2015

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