V-M 5: Symmetric parabolic loading

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William Haynes

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William Haynes

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Ready to use

1 year, 1 month ago

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William Haynes 1 week, 6 days ago

Saved a checkpoint:

replaced geogebra_file() with geogebra_applet()

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William Haynes 1 year, 1 month ago

Saved a checkpoint:

Now \simplify[fractionNumbers] works.

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William Haynes 1 year, 1 month ago

Gave some feedback: Ready to use

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William Haynes 2 years, 9 months ago

Saved a checkpoint:

Swapped out old ggb diagram for improved version.

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William Haynes 2 years, 9 months ago

Saved a checkpoint:

Continuing cleanup and formating. Need a signal for part opened, to display V and M diagrams.

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William Haynes 2 years, 9 months ago

Gave some feedback: Needs to be tested

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William Haynes 2 years, 9 months ago

Saved a checkpoint:

Multiple changes:

Load ggb from file, eliminate graphics 2 since not needed.

Determine functions in Numbas to get proper simplification

Add steps to show how to procede.

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William Haynes 2 years, 10 months ago

Gave some feedback: Should not be used

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William Haynes 2 years, 10 months ago

Saved a checkpoint:

Prior to changes to determine function within Numbas

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William Haynes 2 years, 10 months ago

Gave some feedback: Ready to use

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William Haynes 2 years, 10 months ago

Saved a checkpoint:

Cleaned up for student use. Now works after bugfix by Christian 5/4/22 to make restore work correcty

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William Haynes 2 years, 10 months ago

Saved a checkpoint:

Restored variable to units, because that wasn't the issue. This version contains debugging code.

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William Haynes 2 years, 10 months ago

Saved a checkpoint:

changed variable units to unitz, because this is already defined.

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William Haynes 2 years, 10 months ago

Saved a checkpoint:

Fixed the geogebra_applet() parameters to call the scaling functions. Issue was geogebra accepts abs() but not Abs()

The geogebra_applet() function is called directly in the statement, and the diagram resumes.

The geogebra_applet() is also called and stored in a variable ggb_diagram to be used by the marking algorithm.

The custom marking algorithm fails on 'evaluating variable right_sign' after resume

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William Haynes 2 years, 10 months ago

Saved a checkpoint:

Currently using the applet variable. doesn't resume, but marking works.

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William Haynes 2 years, 10 months ago

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Currently using the javascript function

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William Haynes 2 years, 10 months ago

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This demos the problem. Three methods of loading a ggb applet compared.

1. uses javascript function Most complicated method, but reloads and can call click script to rescale

2. Defines a variable. Doesnt reload, can't call click script to rescale

3. directly loads geogebra_applet() Reloads, but can't call click scripts or get values from the applet

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William Haynes 2 years, 11 months ago

Saved a checkpoint:

Tried to revert to geogebra_applet() method with parameters, but couldn't make it work. Restoring to previous version... geogebra_function() attempt.

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William Haynes 2 years, 11 months ago

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This version uses javascript extension function geogebra_function() and does not resume properly

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William Haynes 4 years, 4 months ago

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fails on

"Scale_V": [definition: safe('CopyFreeObject(scaleFunction(Max({V_{max},Abs(V_{min})})/2 ))')],

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William Haynes 4 years, 6 months ago

Saved a checkpoint:

Prior to adding answer parts.

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William Haynes 4 years, 7 months ago

Gave some feedback: Needs to be tested

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William Haynes 4 years, 7 months ago

Gave some feedback: Doesn't work

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William Haynes 5 years, 4 months ago

Created this as a copy of V-M 1: Concentrated forces.

Name	Status	Author	Last Modified
V-M 1: Concentrated forces	Ready to use	William Haynes	16/08/2024 19:05
V-M 5: Symmetric parabolic loading	Ready to use	William Haynes	08/03/2025 17:57
V-M 4: Combined loads	Ready to use	William Haynes	16/08/2024 19:13
V-M 2: Concentrated moments	Ready to use	William Haynes	04/05/2022 23:54
V-M 5a: Arbitrary parabolic loading	Ready to use	William Haynes	08/03/2025 18:07
V-M 1a: Concentrated forces, no diagrams	Ready to use	William Haynes	16/08/2024 19:08
V-M 2a: Concentrated moments, no diagrams	Ready to use	William Haynes	05/05/2022 00:14
V-M 4a: Combined loads, no diagrams	Ready to use	William Haynes	27/11/2024 15:38

There are 15 other versions that do you not have access to.

Question statement

to do: use the show_curves(applet) javascript function when Step 2 is shown to show V and M curves. With the procedure shown in the steps, the advice section is redundant. Diagram sometimes doesn't load properly. Need to change the ggb applet to the one contained in Arbitrary Parabolic Loading.

A {qty(2b, units[0])} long, simply-supported beam is subjected to a symmetrical parabolic loading, where

$w\!(x) =\simplify[fractionNumbers]{{w}}$ [{units[1]}/{units[0]}].

{applet}

Give any introductory information the student needs.

			Name	Type	Generated Value

applet	ggbapplet	HTML node
ggb_params	dict	Dictionary with 11 entries
debug	boolean	false

			Name	Type	Generated Value

units	list	[ "m", "kN" ]
b	integer	10
h	number	250
w	polynomial	polynomial(-2.5x^2 + 50x)
F_A	rational	5000/3
v	polynomial	polynomial(0.8333333333x^3 - 25x^2 + 1666.6666666667)
m	polynomial	polynomial(0.2083333333x^4 - 8.3333333333x^3 + 1666.6666666667*x)
w_t	quantity	quantity(3333, "kN")

Automatically regenerate variables?

Name

Data type

Value

xxxxxxxxxx
 
//geogebra_file('newVM_cA1Sig0.ggb' , ggb_params)
geogebra_applet('stsbvkgw',ggb_params)

JME function reference

This variable is an interactive HTML node. Interactive HTML nodes can not be relied upon to work correctly when resuming a session - for example, attached event callbacks will be lost, and mathematical notation will likely also break.

If this causes problems, try to create HTML nodes where you use them in content areas, instead of storing them in variables.

Description

was geogebra_applet('symmetric-parabolic-loading_HCdYjqQ.ggb' , ggb_params)

Describe what this variable represents, and list any assumptions made about its value.

Can an exam override the value of this variable?

Generated value: `ggbapplet`

GeoGebra applet loading...

← Depends on:

ggb_params

This variable doesn't seem to be used anywhere.

Parts

Load and Reactions Gap-fill
1. Step Information only
Shear and Bending Moment Functions Gap-fill
1. Gap V(x) Mathematical expression
  Add
2. Gap M(x) Mathematical expression
  Add
1. Step Information only
Maximum internal loads Gap-fill
1. Gap $V_{max}$ Engineering Accuracy with units
  Add
2. Gap $M_{max}$ Engineering Accuracy with units
  Add
1. Step Information only

Gap-fill

Ask the student a question, and give any hints about how they should answer this part.

Determine the total weight supported by the beam and the reactions at $A$ and $B$.

$W = $ $W$

$R_A =$ $F_A$ $\qquad R_B = $$F_B$

$R_A = R_B =\simplify[fractionNumbers]{{F_A}}$ = {siground(qty(F_A,units[1]),4)}

Advice

Given $w(x)$ and beam length $L$,

1. Find load $W= \int_0^L w(x)\; dx$

2. By symmetry, the reactions are half the load. $ A = B = W/2$

3. Integrate $V(x) = \int w(x)\; dx$ to get the shear function.

Maximum shear occurs at the ends, where $d V /d x = -w(x) = 0$

$V_{max} = V(0)$

4. Integrate $M(x) = \int V(x)\; dx$ to get moment function.

Maximum moment occurs at midpoint, where $dM/dx = V = 0$

$M_{max} = M(\var{b})$

Don't forget to evaluate the constant of integration when deriving the shear and bending moment functions.

Give a worked solution to the whole question.

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There was an error which means the tests can't run:

Part	Test	Passed?
Gap-fill
Gap-fill		Hasn't run yet
Engineering Accuracy with units
Engineering Accuracy with units		Hasn't run yet
Engineering Accuracy with units
Engineering Accuracy with units		Hasn't run yet
Engineering Accuracy with units
Engineering Accuracy with units		Hasn't run yet
Information only
Gap-fill
Gap-fill		Hasn't run yet
Mathematical expression
Mathematical expression		Hasn't run yet
Mathematical expression
Mathematical expression		Hasn't run yet
Information only
Gap-fill
Gap-fill		Hasn't run yet
Engineering Accuracy with units
Engineering Accuracy with units		Hasn't run yet
Engineering Accuracy with units
Engineering Accuracy with units		Hasn't run yet
Information only

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William Haynes 1 week, 6 days ago

William Haynes 1 year, 1 month ago

William Haynes 1 year, 1 month ago

William Haynes 2 years, 9 months ago

William Haynes 2 years, 9 months ago

William Haynes 2 years, 9 months ago

William Haynes 2 years, 9 months ago

William Haynes 2 years, 10 months ago

William Haynes 2 years, 10 months ago

William Haynes 2 years, 10 months ago

William Haynes 2 years, 10 months ago

William Haynes 2 years, 10 months ago

William Haynes 2 years, 10 months ago

William Haynes 2 years, 10 months ago

William Haynes 2 years, 10 months ago

William Haynes 2 years, 10 months ago

William Haynes 2 years, 10 months ago

William Haynes 2 years, 11 months ago

William Haynes 2 years, 11 months ago

William Haynes 4 years, 4 months ago

William Haynes 4 years, 6 months ago

William Haynes 4 years, 7 months ago

William Haynes 4 years, 7 months ago

William Haynes 5 years ago

William Haynes 5 years ago

William Haynes 5 years, 4 months ago

Error in variable testing condition

Error

Warning

Generated value: ggbapplet

Parts

Gap-fill

Generated value: `ggbapplet`