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UNIVERSITY OF SOUTH AUSTRALIA
Assignment Cover Sheet - Group
An Assignment cover sheet needs to be included with each assignment. Please complete
all details clearly.
If you are submitting the assignment on paper, please staple this sheet to the front of each
assignment. If you are submitting the assignment online, please ensure this cover sheet is
included at the start of your document. (This is preferable to a separate attachment.)
Please check your Course Information Booklet or contact your School Office for assignment
submission locations.
Student Name (Print clearly) UniSA Email ID
1. Christian-Raymund Sarmiento [email protected]
2.Deepak kumar [email protected]
3.Rajeesh [email protected]. Chen, Jiajie [email protected]
Course code and title: (MENG 2004) Mechanical Design Practice
Program Code: School: School of Advanced Manufacturing
and Mechanical Engineering
Day, Time & Location of Tutorial/Practical: Thursday, 4-7 pm, J2-25
Course Coordinator: John Fielke Tutor: John Fielke
Extension granted (Yes/No): Due Date: Friday 16 September 2011
Assignment number & topic: Assignment 1 – Design of a Mechanism
We declare that the work contained in this assignment is our own, except where
acknowledgement of sources is made.
We authorise the University to test any work submitted by us, using text comparison
software, for instances of plagiarism. We understand this will involve the University or its
contractor copying our work and storing it on a database to be used in future to test work
submitted by others.
We understand that we can obtain further information on this matter at
http://www.unisa.edu.au/learningadvice/integrity/default.asp
Signed: Date:
1. Christian-Raymund Sarmiento 17/09/10
2.Deepak kumar 17/09/10
3.Rajeesh 17/09/10
4. Chen, Jiajie 17/09/10
Date received from student Assessment/grade Assessed by:
Recorded: Dispatched:
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Mechanical Design Practice
Design Project
University of South Australia
School of Advanced Manufacturing and Mechanical Engineering
MENG 2004 Mechanical Design Practice
Assignment 1 - Final Report
Design of a Lifting Mechanism
Course Coordinator: Associate Professor John Fielke
Due date: 16th September 2011
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Executive SummaryDesign
This is the chosen design for the lifter which has
capacity to lift 100kg at an inclination of 450 to
the horizontal (Considering if the lifter being
used in mountains and hilly areas). The
mechanical advantage of the system
incorporates with the use of hydraulics which
allows us to put small input and obtain large
output. In fluid power, hydraulics is used for the
generation, control, and transmission of power
by the use of pressurized liquids. It‟s a low
maintenance system which is controlled by
fluids and a power screw. The operating effort
used in lifting the Mass is at bare maximum thatis 400N such that with hydraulics (by foot) and
the lifter travels to and from the car boot with the
help of parallel tracks installed inside. The operating effort applied with hands is 200N.
Figure 1- Lifter Mechanism
Figure 2 - Lifter Installed in Boot Space of the Safari Car
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Design Project 4
ITEM NO. PART NUMBER DESCRIPTION QTY.
1 Car Boot Safari car with parallel tracks installed inside 1
2 Frame Rectangular tubes built with welding operation 1
3 Fixture Fastened on the frame with two screws each 4
4 Link1 Freely rotating on the cylindrical surface of Fixture 2
5 Link2 Freely rotating on the cylindrical surface of Fixture 2
6 Lifting Platform Accommodated with 2 no. of Link1 and Link2 each 1
7 Hydraulic Arm (M) Attached to the Frame which enables linear motion 1
8 Hydraulic Arm (F) Attached to two Link1's to provide circular motion 1
9 Pin(Hydraulic Arm) Provides rigid connection on the frame 1
10 Pins(Lifting Arms) Holds the Lifting platform with cylindrical fits 4
11 Bolted Part Fastened with 4 bolts on the rear side of frame 1
12 Welded Part Welded on rear side of the Frame 1
13 Power Screw Mounted between Bolted and Welded Part 1
15 Rings(Fixture) Provides a back-up for fixtures and Link1 4
16 Hydraulic Cylinder Arm Used to advance with low input manually 1
17 Hydraulic Cylinder Cylinder used to pressurize liquids to Hydraulic Arms 1
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Isometric View of Main Assembly
2
3
4
5
6
7
8
9
10
10
11
12
13
16
17
14
Figure 3 - Isometric Projection
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Design Project 6
PARTS MATERIALS SPECIFICATIONS/DIMENSIONS
Frame 2014 T6 Aluminium Alloy 1074 mm × 1008 mm × 80 mm,
Fixture 2014 T6 Aluminium Alloy 74 mm × 74 mm × 100 mm
Link1 AISI 304 74 mm × 444 mm × 40 mm
Link2 2014 T6 Aluminium Alloy 74 mm × 444 mm × 40 mm
Lifting Platform RHS 1040 Steel alloy Cold Rolled 1008 mm × 1172 mm × 600 mm
Hydraulic Arm (M) - Φ 50 mm × 227
Hydraulic Arm (F) - Φ 30 mm × 227 mm
Pin(Hydraulic Arm) AISI 304 Φ 40 mm × 70 mm
Pins(Lifting Arms) AISI 304 Φ 40 mm × 80 mm
Bolted Part 2014 T6 Aluminium Alloy 137.5 mm × 148.5 mm × 200 mm
Welded Part 2014 T6 Aluminium Alloy 230 mm × 215 mm × 137.5 mm
Power Screw Stainless Steel
Square thread, Double start, dm (30mm), dr (23 mm),
length = 1074 mm
Rings(Fixture) 2014 T6 Aluminium Alloy Φ 65 mm × 20 mm
Hydraulic Cylinder
Arm AISI 304 1225 mm × 115 mm × 80 mm
Hydraulic Cylinder - Maximum Pumping Pressure Capacity = 46 MPa
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Mechanical Design Practice
Design Project 7 Figure 4 - Poster
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Table of Contents
Executive summary 3
Description 3
Rendered image 4
Isometric View 5 Bill of materials 6
Poster 7
Table of contents 8
The design of brief 9
The “Group Charter” 10
Concept map 11
Task/roles 12
Alternative ideas 13
Design 1 13
Design 2 15
Design 3 18
Design 4 20
Design documentation 23
Power screw design 25
Bolted joint design 27
Welded joint design 30
Lifting platform design 33
Pin design 35
Material cost calculation 41
Appendix 42
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Design Brief
Mobility scooters have been a beneficial aid in helping senior and disabled people
travel from location to location. The design of mobility scooters have given many
consumers who are who are unable to walk around an opportunity to travel with ease.Since its creation in 1968 by Allan R. Thieme () mobility scooters has been an
essential part of many people‟s lives.
Recently with the UniSA company commencing business on July 2011, it is given at
hand that the company has given responsibility to UniSA Design Group C1. Pty Ltd.
The group consists of four designers to develop another approach in aiding the
consumers of mobility scooters. The task is to develop a hand operated system for
loading a mobility scooter into a car. The group is to also choose appropriate
materials, so that money is not lost. The company would also like to sell as many of
the designs as possible.
The design group needs to follow a few needs in order for the design to be
applicable. By approaching a method of selecting suitable types of cars and mobility
scooters, the initial design concepts must be mechanically operated and proven to lift.
The operating specifications must also be followed stating a maximum operating
effort of 200 N by hand and 400 N by foot. This is reasonable due to the
disadvantages of senior and disabled users. By developing the initial concepts and
proceeding to the final appropriate design, the design group must also document the
final design; its materials, total cost and recommended retail price (RRP).
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Group Charter
It is highly important that each group member attends all group meetings, to ensure
that the group is up to date with work.
Meetings are not to be missed.
If so the group member must inform the group members via email, phone call, text
with a valid reason.
Each group member needs to be prepared and familiar with the given task to make
certain that the time used is not wasted.
Before and after group meetings the progress of the group should be observed, to
determine that the group is heading towards the right path.
It would be easier if each group member spoke out there differences of a topic sothat a better solution can be found.
Workloads are divided equally between the group members.
Each group member is responsible for the task given at hand.
Group members need to familiarise themselves with the theory and purpose of the
project. This is to ensure that no one in the group struggles or slows down the
progress.
Group members are responsible for their calculations, and by approval can have it
re-checked by another group member.
It is essential that all group members‟ work together to ensure the workload is
completed on time.
Failure to follow these rules will most probably result in a reasonable peer
assessment.
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Concept Map
Below is the concept map outlining a step by step guide towards producing a lifter for
mobility scooter.
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Task/Roles
Name Role/Designation Tasks
Deepak Kumar Design Engineer
Individual Force Balance Calculations
Group Concept Map
Executive Summary
Statement of Task/ Roles
Individual Concept Map
Project Compiling
A3 Poster
Power Screw Design
Material and Systems Cost
Chosen Design Cad Model & Drawings (Solid Works)
Rajeesh Project Engineer
Individual Force Balance Calculations
Group Concept Map
Table of Contents
Bolted Part Design
Welded Part Design
Individual Concept Map
Project Compiling
Christian Production Engineer
Individual Force Balance Calculations
Group Concept Map
Design Brief
The “Group Charter”
Individual Concept Map
Project Compiling
PeterMaintenance & Service
Engineer
Individual Force Balance Calculations
Lifting Platform Design
Pin Design
Individual Concept Map
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Alternative Ideas
Each group member was given responsibility to develop designs that would aid
consumers in placing a mobility scooter onto/into a car. The designs are presented
as CAD models developed from Solid Works. The force balance diagrams and
calculations of each design are to be proven, and that the design also follows the
specifications to be applicable in the project. By applying research on certain
vehicles and scooters, it was decided that the types of cars used would be wagons
and safaris. Medium size scooters have also been chosen for this project.
Design 1
Design one consists of four bars, two on each side all attached to a central shaft.
Also placed onto the shaft is the compartment or surface in which a mobility scooter
is placed. The design procedure is fairly simple.
There are two ends of the design. One end is fixed which is placed close to the boot
of a safari or wagon. The other end is pinned with wheels that allow it to move
forwards and backwards.
Placed within the design is a welded body hydraulic cylinder. The cylinder is
attached to shafts placed between the bars of the design. The particular hydraulic
cylinder that would be used is a retracting cylinder. In other words the length of the
cylinder decreases when pressure is applied by the piston.
When the cylinder retracts, it causes the moving end to move towards the fixed end.
Since they are both connected to a central shaft, the height of the device increases
and the mobility scooter is lifted and also placed forward within the safari or wagon.
From there on the scooter can be pushed in.
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Assume that the average weight of a mobility scooter is 100 kg.
F1 = 100 kg * 9.81 m/s^2 = 981 N
Assume that the max height allowed for the device to rise is 50 cm. The minimum
height it can descend is 20 cm. When the hydraulic cylinder is placed within the
design, an appropriate total length before retracting is 60 cm. When the device is
high enough the new length of the cylinder is 30 cm.
By applying the law of energy conservation we get equation.
F (h1 – h2) = f(l1 – l2)
F = 981 N, h1 = 0.5 m, h2 = 0.2 m, l1 = 0.6 m, l2 = 0.3 m
981 N (0.5 m – 0.2m) = f(0.6 m – 0.3 m)
f = (981 N (0.5 m – 0.2 m)) / (0.6 m – 0.3 m) = 981 N
Therefore the force needed from the hydraulic cylinder is 981 N to operate the
device. Now assuming an input/output ratio of 1/5 for force gives us;
Input / Output = 1/5
Input = Output*(1/5)
Output = 981 N
Therefore Input = 981*(1/5) = 196.2 N
Depending on the pressure of the hydraulic cylinder the device can work. However
for this case by assuming a1/5, input/output ratio of a cylinder the device can in factlift the mobility scooter.
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Design 2
This design works on the principle of hydraulics and an effort is been made to reduce
the complexity of mechanism. The whole system is been mounted on the rear boot
of the car with pre-installed parallel tracks which guide the Frame. The motion of the
Frame is controlled by the power screw which is mounted on the rare side. The
power screw is mounted on two parts, out of which one is welded and other is
fastened with screws. The hydraulic piston is mounted on the Frame with the
conjunction of mechanical Pin. The Links (tip) is mounted on the Fixtures havingground surfaces (reamed surface). The links (root) is attached to the Lifting Platform
with the help of 4 finished (reamed) holes and 4 Pins. All Pins have ground surfaces
with two holes on one face to avoid rotation of the Pin itself. The hydraulic arm (male)
is mounted on the support of the Rings which is welded on Links 1 & 2. The
hydraulic piston is controlled by the pumping system which is rigidly attached at the
bottom of the care.
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Mechanical Design Practice
Design Project
Force Balance Calculations
Considering the maximum force condition such that a large distant force will make a
large effort applied and less distant force makes small effort applied.
Free Body Diagram Fd
D Fa
W β
C E Fc
(90- α)
A B
Given:
AB = 869.5, BC = 956, DE = 370, CE = 83
The only condition of maximum force Fd experienced by the hydraulic piston when
Link CE is perpendicular to face DE.
So β = tan-1(DE/CE) = tan-1(370/83) = 77.35o
α = tan-1(BC/AB) = tan-1(956/869.5) = 47.713o
Total Mass = Mass of the Scooter (Including Battery) + Mass of the Lifting Parts
Total Mass = 100 kg + 100 kg
Total Mass = 200 kg
W = Mass * Gravitational acceleration = 200 × 9.81 = 1962 N
Fa = 1962 / cos(90-α) = 2.65 KN
Fc = Fa cos α = 1.8 KN Fd = Fc / cos β = 8.15 KN
So the force acting on the hydraulic piston is 8.15 KN and now calculating the
pressure exerted on the hydraulic piston that is
P = Fd / (A - a) (Radius a = 12.5 mm, Radius a = 10 mm)
P = Fd / (π(12.5
2
- 10
2
)) = 46 MPa
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Design Project
Force need to exert on the hand pump is 8.15 KN and it can be done by lever which
is 1225 mm in length.
8.15 KN F
55 1170
Taking moments at root of the lever
8.15 × 103 × 55 = F × 1225
F = 383.10 N (which is less than required effort of 400 N )
So 383 N on 1225 mm lever will do the job. It is the proof that with this design effort
is less than 400N with the foot effort.
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Design3
Main idea behind this design is to make a lifter which is safely attached to the car.
The platform is attached to the links and operated using a hydraulic cylinder.
Hydraulic cylinder is actuated using a hand pump and actuated using hand lever.
The effort is calculated to be 192N. The lifter can be fitted to ford falcon wagon or
any similar size wagons. Most of the scoter which are under 140kg, available in the
market can be lifted with this lifter.
Force Balance
200 700
150
1000
200 kg
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Total load to lift including mobile scooter and platform = 150 kg
Horizontal force
Vertical Force
N
Using a main hydraulic cylinder to lift the load, and total force on the cylinder is
√ =13198N
This force can be exerted on the main cylinder using a hand pump. Using a 50mm
cylinder and 20mm cylinder for hand pump
Force need to exert on the hand pump is 2111.68 Newton and it can be done by
hand lever which is 220mm length.
2111.68N F
20 200
2111.68 20 = 220 F F = 191.98N
So 191.8N on 220mm lever will do the job. It is the proof that with this design effort is
less than 200N with the hand.
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Design 4
This is one of the possible designs. Assume that, there is a 1000N load on the top of
the system. The maximum lifting capacity is 1m. firstly, we assuming that the weight
of this system is ignored. With the lifting table change the height for 1m the hydra
pump‟s arm will move 40cm. From the energy conservation, we have:
Mgh= fs and
h=1m
s=40cm
f2=mgd/s=2452.5N
We found that, if the pump power f2 is bigger 2452.5N. This system can be derived
by the hydraulic pump.
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Decision Analysis
Below is a table signifying a marking criteria/score of the conceptual designs. This is
part of the decision analysis so that a final component design is chosen.
Criteria Weight Design 1 Design 2 Design 3 Design 4
Score Total Score Total Score Total Score Total
Reliability 10 4 40 8 80 5 50 4 40
Complexity 2 8 16 8 16 8 16 7 14
Originality 2 4 8 10 20 10 20 4 8
Innovative 1 7 7 9 9 7 7 5 5
Weight 5 6 30 10 50 10 50 7 35
Low
Maintenance 7 7 49 4 28 7 49 7 49
Standard
Components 6 6 36 5 30 6 36 8 48
Ease of
Manufacture 2 7 14 5 10 7 14 8 16
Totals 200 243 242 215
Comments:
While rating the designs using the scoring method above, each designs score was
justified with given reasons.
Design one received a reliability score of 4. This was because the base of the device
seemed my smaller than the mobility scooter. There was disagreement that the
device would balance out. The bending moment at the central shaft created reasons
and made the platform unreliable. There is also a high probability of the scooter
falling off. The device was simple, however was stated not original. It is described tobe innovative utilising the hydraulic pump effectively. The device was assumed to be
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heavy therefore was a significant factor in the scoring. Parts are not available, and
the design does not have complex shapes to be manufactured.
Design two had a reliability of 8. However there was concern due to the probability of
breaking the arms and lifting platform. The mechanism does not look complex, and
was very original praised with an originality score of 10. The device was veryinnovative as it consisted of many mechanical components. The score of the weight
was given as 10. The reason was because the device was not needed to be handled
by a user instead its being held within the vehicle. The design however received
reasonable scores for low maintenance, standard components and ease of
manufacture. This was because some components such as the hydraulic cylinder
would need to be frequently oiled. Parts are also unavailable in the market. If the
parts break, they need to be manufactured. The components are also large which
brings an issue to manufacturing the parts.
Design three was similar to design two. The design received 5 for reliability because
the device was placed at the edge of vehicle. There was a disagreement that the
edge of the surface can hold the weight of the scooter. Also a force is applied to one
end of the device which can cause the device to break. The device was praised with
similar scores to design two. Again for design three some of the major components
are unavailable in the market and need to be manufactured. The parts are also too
big to be machined.
Design four received a reliability score of 4. This was because the device seemed
fragile and unable to lift the scooter. The device was not complex, and some groupmembers said it was not original. However the device was fairly innovative using
mechanical advantages. Again since the design had to be picked up weight was an
issue. But the weight was given as 7 because the design was described to be light.
The design seems to have a good low maintenance, and the materials look available
in the market. Manufacturing the design also looks easy.
Both design 2 and 3 had a close score with a difference being 1. Both designs
also had similar components. However by group decision design two was
chosen. This was because the components involved some very interesting
mechanical advantages.
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Design Documentation
Component Design Calculations:
In order to have a safe design the Component Strength must be greater than the
Actual Maximum Stress. In many cases there is a great deal of uncertainty on boththe values for the strength and the stress and these are accounted for using a
Design Factor or Factor of Safety [1]
Design factor, N =
Accounts for uncertainties concerning stress and strength:
Composition of materials
Variations in properties within a bar of stock
Effect of local processing on properties
Effect of nearby welds, shrink fits
Effect of heat treatment
Intensity and distribution of loading
Validity of loading model to represent reality
Intensity of stress concentration
Influence of time on strength and geometry
Effect of corrosion
Effect of wear
Uncertainty of other factors
The uncertainties can be broken down into:
Material reliability (Nm)
Workshop Accuracy (Nw)
Design load accuracy (Na)
Consequence of Failure (Ncf)
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The design factor N = Nm x Nw x Na x Ncf
So for hydraulic lifter design, using all ductile materials then Nm = 1.1
Most surfaces are machined, for higher safety we are selecting Nw = 1.0
Most situation are well defined, for higher safety Na = 1.2
Since the failure may cause injury to the disabled personnel operating Ncf = 3
Therefore design factor =
Factor of safety of 3.96 can be used for all major parts from these calculations.
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Power Screw Design
A Power (Lead) screw can be used in conjunction with split nut. They are the
most efficient, having the least friction, so they are often used for screws that carry
high power. Most preferred material for screw is steel and a coefficient of friction is
generally 0.1 for steel.
Let us consider a car is travelled to a hill station and now the car stopped at an
inclination of 45o with the horizontal because maximum a car can climb is 45
degrees. Only few cars can climb upto an angle of 60 degrees and it applies to only
few models of Audi. However Audi models are not economical to buy and use for the
lifting purposes. The economical cars which can make out 45 degree climbing would
be generally 4×4 drive.
α
F = Mg/sinα
m = 200 KG
So W = mg = 200 × 9.81 = 1962 N
α = 45o And F = Mg/sinα = 2452.5 N
For Self Locking screw the equation is
πfdm > L equation-
1
In the above equation „f‟ is the coefficient of friction, „dm‟ is mean diameter of the
thread and „L‟ is lead of the screw.
If d is the major diameter such that d = 30 mm
dm = 30 – L , f = 0.1
Solving the equation-1
π × 0.1 × (30-L) >L
L < 7.17, so let us assume L=7
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For square threads, Lead = Pitch in single start which is 7 mm, but for double start
thread has a Lead = 2 × Pitch = 2 × 7 mm = 14 mm
dm = 30 – 7/2 = 26.5 mm dr = 30 – P = 23 mm
According to the convention the large composition of the force when be when thesystem would be raised at an inclination. So the equation as per Shigley‟s:
(For raising the load)
( )
12000 N mm = 8863.2 N mm
(For lowering the load)
( )
-12000 N mm -2178.4 N mm
In both cases the resulted torque from the applied is less than the actual torque
applied. Hence proved, it is a self-locking power screw.
Part Name Power Screw
Date Calculated 8-9-11
Calculated by Deepak
Checked by Rajeesh
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Bolted Joint Design
This bracket is attached to the frame by bolts. This bracket used to hold the lead
screw which functions as push pull mechanism to move lifter and scooter in and out
of the car. Force acting at the centre of the lead screw is considered as 1.7kN which
is half of the calculated total force of 3.4kN. Centre of the force acting is 95 mm awayfrom the base. In general bracket act as a stopper in conjunction with the self locking
lead screw.
25
F F
Pre tension per bolt = Required normal force to provide friction/number of bolts
Assuming between steel to steel
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Maximum tension in a bolt due to force F (2000N). Assuming the bolts near the force
acting wall will experience maximum tension.
∑
Maximum bolt tension =
Minimum tensile stress area
So grade 4.6, bolt will be ideal (table 8-1 and 8-11 from shigley‟s used for
reference). Where AT is 36.6 mm2.
Bolt need to be checked for shear failure in the case of bolt coming loose.
Tensile stress in same bolt
Assume shear load is carried evenly
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Definitely
So it is safe to use a grade 4.6, M8
1.25 bolt for this application.
Part Name Bolted Joint
Date Calculated 8-9-11
Calculated by Rajeesh
Checked by Christian
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Welded Joint Design
This bracket is attached to the frame by welding. This bracket fixed opposite side of
the bolted joint explained before. Function of this bracket is same as the bolted joint.
It is assumed that force acting on is half of the calculated total force of 3.4 kN.Maximum stress on the weld only when one direction and in other direction leg of the
bracket will support as well.
Maximum allowable shear stress using E 43 electrode
Neutral axis for the weld pattern
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Design Project
Unit second moment of area for the weld (Table 9-2)
Direct shear on the weld
√
Secondary shear from bending about neutral axis
√
√
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( ) ( )
Maximum allowable shear stress using a E 43 electrode = 129MPa
h=0.2mm. so preferred size for the fillet weld is 3mm
Design factor
Design factor of 14.79 is more than sufficient and weld will be safe.
Part Name Welded joint
Date Calculated 10-9-11
Calculated by Rajeesh
Checked by Deepak
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Lifting Platform Design:
Normal stress = bending stress + axial stress
For this case axial stress = 0
Bending moment:
M= F L =981N x 582.5mm= 571432.5Nmm
Bending stress = Mc/I and I =BH3 /12=600 x 83 /12 =25600mm4
Mc/I= 571432.5mm x 4 mm /256004 = 89.286MPa
Shear stress:
Shear stress= F /A = 981N / (600 x 8) = 0.204 MPa
Equivalent tensile stress = (bending stress2 +3shear stress2) 0.5
= (89.2862+3 x 0.2042)0.5
= 89.286 Mpa
To find out the Sy of the material we have:
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Equivalent tensile stress < Sy / N
89.286 N < Sy
Thus
Sy > 353.75Mpa
The material we choose is 2014 T6 aluminium, the material has the
following properties:
Sy = 415 Mpa
St = 470 Mpa
P = 2800kg/m3
Total weight of the section is 50.0kg.
Part Name Bolted Joint
Date Calculated 16-9-11
Calculated by Peter
Checked by Christian
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Pins Design
There are 3 failures modes of the section of connection between the lifting table
and the arms.
F is the total load act on the connection: load act on the lifting table + the weight
of the lifting table, the weight of the lifting table is calculated by Solid Works.
F = load act on the lifting table + the weight of the lifting table = 981 +50 x 9.81 =
1471.5N
Direct shear all 4 pins:
0.6 Sy(pin) /N > F /(2 x 4 x d2 /4)
Then we have Sy(pin) >14.5 MPa
Shear, the connection of the plate:
0.6 Sy(pin) /N > F /((D-d)(t1+t2))
Then we have Sy(pin) > 4.95 MPa
Bearing stress across 4 pins:
0.6 Sy(pin) /N > F /( 4 x d x (t1 +t2))
Then we have Sy(pin) > 0.69Mpa
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So, final Sy for the pin should be bigger than 14.5 MPa, this is a very small value
for a engineering material, then can easily choose material. The pins on other
side of the arm will not have this much force as these 4 pins, we can use the
same material for them. Then we can choose a cheap material. The material we
choose is the AISI 304, the following is the properties of the material.
Sy = 351 Mpa
St = 420 Mpa
P = 8000kg/m3
Total weight of the section is 0.68 kg
Part Name Bolted Joint
Date Calculated 8-9-11
Calculated by Peter
Checked by Christian
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Link Design:
F is the total load act on the connection: load act on the lifting table + the weight
of the lifting table + the weight of pins, the weight is calculated by Solid works.
F = load act on the lifting table + the weight of the lifting table = 1769.2 N
When the arms are horizontal to the ground the F makes the biggest moment. In
this situation the arms will receive the biggest bending and shear stress.
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R‟ = 7971 N
R = 8133.4 KN
288 mm 77.35o
83 mm
484 mm
370 mm
F = 1769.2 N
Cross Section = 2 × 30 mm × 60 mm
F x 370 = R sin (78.2)82.15
F= 1769.2
Then we have:
R = 3133.4 N
R‟=R x sin(78.2)=7971N
I=2BH3 /12= 1080000mm4
C= 30mm
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SFD
1796.2 N
7971 N
BMD
654.82 Nm
The max moment is at 82.15mm
M(max) =654.82Nm
Bending stress= MC/I=18.20MPa
Shear stress= F/2A= 0.49MPa
Equivalent tensile stress = (bending stress2 +3shear stress2) 0.5 = 18.22Mpa
To find out the Sy of the material we have:
Equivalent tensile stress < Sy / N
Then:
Sy > 65.60Mpa
From the calculation showing, we need a pump power bigger than 8133.4N.
The material we choose is the AISI 304, the following is the properties of the
material.
Sy = 351 Mpa St = 420 Mpa P = 8000kg/m3
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Material Cost Calculation
PARTS
Volume
(mm3)
Density
(Kg/m3)
Mass
(Kg)
Material Cost
(AUD)
Qty. Net Price
(AUD)
Frame 9147720 2800 25.6 4 1 101.6
Fixture 243248 2800 0.68 4 4 10.9
Link1 356700 8000 2.85 1 2 5.7
Link2 323278 8000 2.58 1 2 5.16
Lifting
Platform
10451952 8000 83.60 1 1 83.6
Pin(HydraulicArm)
98310 8000 0.78 1 1 0.78
Pins(Lifting
Arms)
85893 8000 0.68 1 2 1.36
Bolted Part 698295 2800 1.95 4 1 7.8
Welded Part 769678 2800 2.15 4 1 8.6
Rings(Fixture) 29500 2800 0.083 4 4 1.328
Total material cost = 226.8 = $ 227
Retail Price = 3 × 227 = $ 681
Cost of accessories:
Cost of Hydraulic System = $ 350
Cost of Parallel Tracks (rotary cylinders inclusive) = $ 200
Cost of Split Nut = $ 48.95
Cost of Lead Screw = $ 270
Cost of Installation (System) = $ 150
Total Cost (System) = $ 1699.5
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Appendix
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