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    BIRLA INSTITUTE OF TECHNOLOGY EXTENSION CAMPUS

    DEOGHAR

    TEAM VEGATAS

    Chiradeep, Vineet, Amit , Murtaza ,Vinay

    ABSTRACT

    BAJA SAE is an inter college design competition run by the Society of Automobile

    Engineers (SAE). Teams of students participating in the BAJA event has to design, build

    and race a single seated off-road vehicle run by a small gasoline engine intended for sale

    to the non-professional, weekend, off road enthusiast which can withstand the harshest

    elements of rough terrains. Using a combination of Microsoft Excel and CATIA V5

    software the design of the BAJA Vehicle was completed. Microsoft Excel was utilized to

    optimize the material usage as well as to calculate the proper loading forces seen on the

    vehicle. CATIA V5 was used for the design and analysis of the frame. Due efforts have

    been put to validate our design by theoretical calculations, simulations and known facts.The vehicle should meet the necessary requirements of performance which is

    manifested in terms of

    Manoeuvrability, driver comfort, acceleration, hill climb, braking and endurance tests.

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    ROLL CAGE

    PRIMARY OBJECTIVE: 3D Space around driver for

    protection during eventuality, light weight as engine

    power is limited, rigid and safe for driver.

    MATERIAL SELECTION

    According to rule no. 31.5 of the rule book: (A) Circular

    steel tubing with an outside diameter of 25mm (1 in)and a wall thickness of 3 mm (0.120 in) and a carbon

    content of at least 0.18%. Materials available for

    selection under the specified guidelines are as follows:

    MATERIAL SPECIFICATION COMPARISON [1]

    4130 Chromoly is the lightest; however it’s very

    expensive and requires TIG welding which is again

    costly. So a compromise was reached between costs,

    weight, strength and weldability and we selected ASTM

    A106 GradeB.

    THEORIES OF FAILURE:

    In reliability analysis failure is when the part o

    assembly is unable to perform its intended purpose

    satisfactorily. In this context failure is used for fracture

    or permanent deformation beyond operational range

    due to yielding of the material i.e. when elastic limit is

    reached.

    Approx. stopping time= 0.18 seconds

    Front Impact: Collision with stationary object

    Side impact:  vehicle hit by another Baja vehicle

    Neither vehicle would be a fixed object

    Roll over: Secondary impact or a glancing blow, sustain

    a force equivalent to its own weight.

    Shock Mount Loading:  To make sure the roll cage

    would be able to sustain the forces generated during

    and sharp and sudden inclines.

    Calculation for maximum working stress: 

    V = U – a * tTaking initial velocity U= 50kmph and V=0

    t = 0.18sec

    a = 13.89/0.18

    = 77.17 m/s2

    F = M*a = 350*77.17

    F = 27,000N

    FRONT IMPACT

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    SHOCK MOUNT IMPACT

    REAR IMPACT 

    SIDE IMPACT 

    ROLL OVER IMPACT

    Constraints  - farthest end from the impact zone to get

    the maximum lever arm 

    Mesh Size - 10cm

    POST PROCESSING

    Target FOS – 2 (achieved in all the impact cases)

    Change in design – Gussets were applied at the junction

    of over head roll hoop  and front roll hoop. Engine

    compartment reinforced with 2 additional tubes

    Vehicle length was increased by 12 inches to fit drive

    more comfortably.

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    ERGONOMICS

    The blue region shows reach of driver’s hand. All

    essential and emergency controls are within easy reach.

    Seat inclination at 20 degrees for supreme comfort,

    steering at an 20 inches from lower frame and 19.5

    inches from fire wall. Enabling comfortable drive for at

    least 2hours

    Pedals distance at 4.5inches, sufficient for driver

    wearing shoes.

    Steering system

    Aim-To align the wheels in the desired direction and

    provide a feel to the driver about what is happening at

    the wheels and how the vehicle is behaving at corners.

    Design Methodology:

    After acquiring prerequisite knowledge through

    exhaustive reading of books and different vehicle

    design reports and performing extensive market

    research catering to local and foreign markets the

    following targets were set keeping in mind the

    constraints and design specifications mentioned in the

    SAE baja Rulebook 2013:

    1. 

    Following comparison matrix was formed for

    selecting the steering system.

    Rack and pinion operated Ackermann steering

    geometry is used as it is simpler and employ pivots and

    not sliding constraints due to which maintenance is easy

    Component

    characteristic

    Optimum

    value/range

    Reason

    Camber +2-4 deg. Helps in cornering

    nullifying –camber due

    to weight transfer

    Caster +3-7 deg. Provides directional

    stability but higher

    values may lead to

    oversteerSAI 10-15 deg. Straight head recovery

    by raising the vehicle

    at corners

    Toe in 0-3mm Helps maintaining

    steering geometry 

    during cornering

    Turning angle 25 - 40 deg. More this angle lesser

    will be the turning

    radius 

    Turning radius 2-4 meters Lesser the radius more

    will be the handling 

    Scrub radius 0-12mm Smaller this value

    more handing lesser

    risk of traction loss 

    Steering ratio Low(upto

    20:1)

    lesser this, more

    sensitive is the

    steering action

    Lock to lock Low(upto 3) Lesser this ,lesser be

    the driver efforts ,

    improved handling

    Wheel base Low Shorter wheel base

    Criteria|/gear

    type-

    Rack &

    pinion

    Worm &

    wheel

    Re-circulatin

    ball

    cost low medium high

    Mechanical

    complexity

    simple medium high

    weight Light 

    heavy medium

    availability high low low

    Sensitivity good poor fine

    backlash high low medium

    feedback high poor medium

    Mechanical

    advantage

    poor good fine

    Efficiency 

    Good Poor Very good

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    shorter the turning

    radius for same

    steering ratio

    Wheel track Low Affects the weight

    transfer during

    cornering

    Tie rod

    location

    - Minimising bump steer

    locating in plane of

    both A-arms

    Design approach:

    The turning radius was found using the formula

     

    Rof =b/sin A + (a-c)/2 ; Rof =62/sin A +5

    cot A- cot B =c/b ; cot A – cot B = 21/31

    Rof: turning radius of outer front wheela:wheel track

    A: turning angle of outer front wheel.

    c: distance between steering knuckle joints.

    Turning angle vs. Steering wheel angle

    Turning angle(deg) vs. Turning radius(inch)

    The rack and tie rod orientations are decided using catia

    v5 and LSA.

    Our calculations approximated the below mentioned

    results:

    Steering ratio 12:1

    Lock to lock 1.5 rotations of steering wheelTurning angle 32 deg.

    Turning radius 3.5m

    Rack travel 4 inch

    Rack length 9 inch

    Tie rod length 16 inches0

    5

    10

    1520

    25

    30

    35

    40

    0 200 400 600

    STEERING WHEEL ANGLE

    steering wheel… 

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    SUSPENSION:

    Goals:

      Minimize roll center movement.

      To keep the roll center near the center of

    gravity.

      To ensure the independency of suspension

    system, so that upset of one wheel does not

    affect others.

      To obtain a ground clearance of 8 inches

    [approx.].

    For achieving these goals, we are working on softwares

    like LOTUS SUSPENSION ANALYSIS & CATIA.

    The suspension is to be designed for the total weight of

    310 kgs.. From the weight transfer calculations it is

    found that weight is 60 kgs. (approx.) on eachsuspension in front & 95 kgs. on each suspension at

    rear.

    FRONT SUSPENSIONS:

    Double wishbone having unequal a-arms with coil over

    system.

    The reason why?

      Double wishbone suspensions minimise camber

    change.

      Roll center adjustments are easy.

    Design methodology:

      The roll center is so adjusted to keep it near the

    COG which will minimize the turning couple.

      The length of a-arms is kept as long as possible

    to minimise camber change.

     

    The spring damper system would be mounted

    at lower wishbone.

    REAR SUSPENSIONS:

    Mac person strut with single a-arm is to be used at rear.

    The reason why?

    As ours is a rear wheel drive & engine is mounted at the

    back the load concentration is more at the back.

    Design methodology:

      Roll center is adjusted to keep it near COG &

    near the front roll center.

      Change in wheel toe is to be restricted. So ball

     joint is not used at a-arm.

    WEIGHT SPECIFICATIONS

    Weight of driver[with accessories] 113 kgs. (max.)

    Total weight

    [vehicle +driver]

    350 kgs. (approx.)

    Unsprung mass 40 kgs. (approx.)

    Sprung mass 310 kgs. (approx.)

    SUSPENSIONS USED

    Front Double wishbone unequal a-arm

    Rear Macpherson strut

    SPECIFICATIONS

    (FRONT SUSPENSION)

    Wire diameter 9 mm

    Mean coil diameter 70 mm

    Spring stiffness 19.13 N/mm

    Number of turns 10

    Suspension travel Bump - 3 inches

    Rebound - 2 inches

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      BRAKES

    The objective of the braking system is to safely stop the

    vehicle. It is required by the client for the vehicle to

    statically and dynamically lock all four wheels on both

    hard and loose surfaces as per the SAE rule book. 

    For designing the braking system we have calculatedthe weight of our vehicle in static as well as dynamic

    conditions as per deceleration (0.7g).in static condition

    it is around 60kg on each front and 95kg each on rea

    tire.

    We have calculated dynamic weight using the formulae

    given below:

    Approx. total weight (Including driver) = 310 kgs

    W = 3040.0615 N

    Location of center of gravity is 24 inches from rearwheel and 38 inches from wheel axle line.

    Weight applied in rear = 3040.06*38/62=1863.2635N

    Weight applied in front = 3040.0615*24/32= 1176.798

    α = 0.7g 

    Stopping distance

    S = v2 /2α V = 50km/hS = 14.08m

    DYNAMIC WEIGHT TRANSFER:

    (1)  Due to Braking

    FRONT AXLE (FA) 

    = W1 + ∆w

    =1465.11351N

    REAR AXLE (RA) =W2- ∆w

    = 1574.94799N

    Where ‘∆w’= M * α * h / b 

    (2)  Due to Acceleration

    FRONT AXLE (FA) 

    SPECIFICATIONS

    (REAR SUSPENSION)

    Wire diameter 9.9 mm

    Mean coil diameter 80 mm

    Spring stiffness 31.27 N/mm

    Number of turns 6

    Suspension travel Bump - 3 inches

    Rebound – 2 inches

    CHARACTERISTICS EXPECTED VALUE

    WHEEL BASE 62 inches

    TRACK WIDTH

    FRONT 52 inches

    REAR 50 inches

    CENTER OF GRAVITY

    HEIGHT

    8.44 inches

    FRONT SUSPENSION

    UPPER A-ARM LENGTH 14 inches (approx.)

    LOWER A-ARM LENGTH 15 inches (approx.)

    REAR SUSPENSION

    ARM LENGTH 11 inches (approx.)

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    = W1 - ∆w

    =927.396 N

    REAR AXLE (RA) 

    =W2+ ∆w

    = 2112.665 N

    Where ‘∆w’= M * α * h / b 

    W1= front weight of vehicle in static condition

    W2= rear weight of vehicle in static condition

    ∆w= weight transferred

    M= total weight (W1+W2)

    α =maximum deceleration/acceleration

    h= height of centre of gravity

    b= length of wheel base

    We planned to use disc brake in front and drum brake

    in rear. Initially we thought of using disc brake for all

    four wheels, but disc with parking brake have highercost and we found it necessary to use parking brake to

    increase all terrain capabilities of vehicle.

    Following are formulas used for designing our brakes:

    TFRONT = (FA/2) *(R/2) * α = 1577.6119N-m

    TREAR = (RA/2) *(R/2) * α = 1510.818N-m

    T(Disc) + T(Drum)= m * α * R 

    T(Disc)= µ * R1 * (P * A) * 2

    Where

    T(Disc)= frictional torque on the disc

    T(Drum)= fritional torque on the drum

    m= mass of the vehicle

    R= radius of tires

    µ= coefficient of friction between rotor and pads(0.45

    approx)

    P= pressure applied by TMC

    A= area of calliper for disc brake and wheel cylinder for

    drum brake

    R1= radius of disc

    We will be using proportioning valve so that greater

    braking force is applied at rear which bears majority of

    load ,this will be also important for driver’s comfort. 

    BRAKING PARAMETERS VALUES

    FRONT DISC O.D (in mm) 210

    REAR DRUM (in mm) 180

    PEDAL RATIO 4:1

    WEIGHT OF VEHICLE PLUS

    DRIVER (in kgs )

    350(approx)

    Brake lines O.D (in inches) 3/16

    CIRCUIT FOR BRAKING SYSTEM:

    DRIVE TRAIN

    ENGINE

    The source of power to the drive train begins at the

    engine which is a stock four, air cooled, Briggs &

    Stratton OHV Intake Model by Briggs and Stratton. The

    Model 20, weighs 52 pounds with 305 cubic centimetre

    engine produces a mere 10 horsepower at 3800 rpm

    and 13.5 pound feet of torque at 2400 rpm. This engine

    serves as a common governing agent between all teams

    in competition.

    MAXIMUM POWER

    The following is a graph of the Briggs and Stratton

    motors horse power at different rpms.

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    DRIVE TRAIN SELECTION 

    From Previous research of past competitions

    determined that the average speeds  of a Baja during

    the endurance race were between 30 to 35 km per hour

    due to the fact that there isn’t enough straight track to

    increase the speed. The majority of the time is spent

    accelerating and decelerating to account for a multitude

    of obstacles such as turns and other vehicles. It was also

    discovered that the average top speeds for the Baja

    vehicles are around 50 to 55 km per hour. For this

    reason the drive train will need to provide the most

    power to the wheels at the greatest efficiency within

    that range.

    Objectives to choose type of reduction needed:

      The drive train must be light in weight and

    compact due to the small size of the vehicle,

    cheap, easily available.  It must transfer the calculated amount of power

    to the drive shaft allowing it to complete both

    high and low gear applications that will be

    necessary to complete all aspects of the

    endurance portion of competition without

    failure.

    We are using MAHINDRA ALFA gear box (model

    no.0703ACO590M) and clutch box (model no.

    080BH0471N) i.e. multi plate wet system.

    AIR RESISTANCE

    Drag force=0.5*ρ*v2*A*Cd 

    ρ is the density of air at a temp of 450C i.e. 1.11 kg/m3.

    v is the velocity of vehicle.

    A is the frontal area  of vehicle and our biggest cross

    sectional area is firewall which is inclined at an angle o

    10 degree with vertical axis so, effective area taken i1.08m2.

    Cd  is coefficient of drag  was hinted at by the Bosch

    Automotive Handbook for box-like autos at 0.8 and the

    Mechanical Engineers Handbook states that a high drag

    vehicle the coefficient of drag is 0.55. The graph has

    three plot lines for 0.6, 0.7, 0.8  coefficients of drag

    trying to estimate a close number.

    Power required overcoming drag force (Pdf )

    Pdf = drag force*velocity

    ROLLING RESISTANCE

    Rolling resistance=Crr*m*g.

    Crr is the rolling coefficient is taken 0.1(the loose soil or

    gravel)

    m is the mass of the vehicle.

    g is the acceleration due to gravity.

    Rolling power consumption=rolling

    resistance*velocity.

    Gear First Second Third Fourth Reverse

    Gearratios

    31.45:1 18.70:1 11.40:1 7.35:1 55.08:1

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    POWER LEFT OUT FOR THE VEHICLE ACCELERATION

    Power left=Power o/p from engine –Power loss (in

    drag force + rolling resistance)

    Maximum possible acceleration

    Power=Thrust force*velocity=m*a*v.

    So, acceleration=power/m*v.

    WHEELS:

    Specification of the tire used for front and rear:

    Size 22X8.00-10/4

    Pattern MATV1319

    Rim 6 inchesOutside diameter 530mm

    Cross section width 184mm

    Inflation pressure 5 psi

    Tires were strictly subjected to availability.The treads

    ensured grip on slippery and sandy BAJA tracks and

    their optimum depth made it sure that the tires did not

    dig up loose sand. Light weight rims to decrease

    unsprung mass were selected only after ensuring

    proper packaging of knuckles and brakes.

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    PROJECT PLAN:

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    ELECTRICALS:

    Circuit diagram connecting battery to the alternator:

    Circuit Diagram showing electrical connections in the

    car.

    INNOVATIONS:

    1.Use of Solar panel placed at top of the vehicle to drive

    a cooling fan .

    2.Use of bumpers at front acting as shock absorbers

    incorporated with sping and damper assembly to

    reduce shock travel and hence preventing the battery

    and steering rack assembly from bumps

    Circuit diagram for solar panel

    3.Use of specially designed pvc pipes and guide vanes

    assembly having nozzles at on end guiding cooling air on

    to the engine from the surrounding , thus, increasing

    the cooling effect.

    CONCLUSION:

    Thus the design of the rollcage is made and analysed

    assuming factor of safety , it is found by FEA analysis

    that it is stable and can be used. Innovations for other

    parts of the vehicle can improve the performance of the

    vehicle, especially sharp turning, effective braking. Also

    parts are designed and selected such that they can be

    easily used and manufactured so that higher production

    rate is possible. The cost of the vehicle will also be fixed

    so that it affordable for a recreational vehicle.

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    BILL OF MATERIAL:

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