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K. I. Swami et al Int. Journal of Engineering Research and Applications
ISSN : 2248-9622, Vol. 4, Issue 2( Version 1), February 2014, pp.150-154

RESEARCH ARTICLE

www.ijera.com

OPEN ACCESS

Effect of Torque on Ladder Frame Chassis of Eicher 20.16
K. I. Swami*, Prof. S. B. Tuljapure**
*(Department of Mechanical Engineering, Solapur university, Solapur)
** (Department of Mechanical Engineering, Solapur University, Solapur)

ABSTRACT
Automotive chassis is backbone of vehicle. Chassis carries steady load, vehicle load, driving force and braking
force. Hence chassis has to be designed for static and dynamic loading. In this paper chassis of Eicher 20.16 has
been considered, and the behavior of chassis under same load but varying thickness is studied through Ansys.
Keywords – Ansys, chassis, deformation, thickness, torque.

I. INTRODUCTION
The automotive chassis is tasked with
holding all the components together while driving,
and transferring vertical and lateral loads, caused by
accelerations, on the chassis through the suspension
and to the wheels. A ladder frame is the simplest and
oldest frame used in modern vehicular construction.
It was originally adapted from “horse and buggy”
style carriages as it provided sufficient strength for
holding the weight of the components. If a higher
weight holding capacity was required then larger
beams could be used. It was comprised of two beams
that ran the entire length of the vehicle. A motor
placed in the front (or rear sometimes) and supported
at suspension points. Add the passenger compartment
and a trunk with a load and it becomes a simple
indeterminate beam.
Here the chassis of Eicher 20.16 is of ladder
frame type which has two side members or
longitudinal members of C- cross section and seven
transverse members called cross members of C- cross
section. The chassis has been modeled in Ansys 13
using the most of the actual dimensions. FEM
analysis was done using Ansys 13.

Capacity of Truck = 11400 kg = 111834 N
Capacity of Truck with 25% overload = 139792.5 N
Weight of the body and engine = 2700 kg = 26487 N
Total load acting on chassis = Capacity of the Chassis
+ Weight of body and engine
= 139792.5 + 26487
= 166279.5 N
Chassis has two beams. So load acting on each beam
is half of the Total load acting on the chassis.
Load acting on the single beam = 166279.5/2
= 83139.75 N

Fig. 2.1 (a) C- section of side member

II. DESIGN AND CALCULATIONS
2.1 Determination of load
Model No. = 20.16
Side bar of the chassis are made from “C” Channels
with 230 mm x 76 mm x 6 mm
Cross member of chassis are made from “C”
channels with 210mm x 76 mm x 6 mm
Front Overhang (a) = 1588 mm
Rear Overhang (c) = 2145mm
Wheel Base (b) = 4800 mm
Material of the chassis is St 52
E = 2.10 x 105 N / mm2
Poisson Ratio = 0.31
Radius of Gyration R = 230/2 =115 mm
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Fig. 2.1 (b) C-section of cross bar
150 | P a g e
K. I. Swami et al Int. Journal of Engineering Research and Applications
ISSN : 2248-9622, Vol. 4, Issue 2( Version 1), February 2014, pp.150-154

www.ijera.com

For Validation of FEM Model i.e. type of element
and mesh density, a cantilever beam is taken of same
length as that of main member of chassis also the
cross section is same.
2.2 Type of element: - Solid45 is used for the
analysis.

Fig. 2.2 (a) Deformation of cantilever beam

Fig.2.2 solid45 element type
Tab 2.2 Table of Mesh Density
No. of element
51614
No. of Nodes
18824
An arbitrary load of 1 N/mm is applied in
the form of pressure on the upper face of C channel is
constrained for all DOF at the end is determined
using formula.
Deflection of chassis for cantilever beam

The fig. no.2.2 (a) shows deformed shape of
cantilever beam with undeformed shape,
Deflection obtained by FEM= 191.66 mm
Deflection
obtained
by
Analytical
method=189.84mm
Error = [(191.66-189.84)/(189.84)] x 100
=0.959%
As error is within acceptable limit, mesh density and
type of element selected are capable of giving correct
results for whole chassis.

III. FEM ANALYSIS OF MODEL
3.1

Modeling
Model of chassis drawn in Ansys is as
shown in figure..

Y= [(w x l4) / (8 x E x I)]
Where,
Y = deflection at the free end of beam
w = Load per unit length
l = Length of beam
E = Young’s modulus of the material of the beam
I = Area moment of Inertia of beam about an axis
passing through its center of gravity
= [(1 x 85334) / (8 x 2.1 x 105 x 16622980)]
= 189.84 mm

Fig.3.1 model of Ladder chassis frame
3.2

Boundary Conditions and Loading
The truck chassis model is loaded by static
forces from the truck body and load. The load is
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151 | P a g e
K. I. Swami et al Int. Journal of Engineering Research and Applications
ISSN : 2248-9622, Vol. 4, Issue 2( Version 1), February 2014, pp.150-154

www.ijera.com

assumed as a uniform distributed obtained from the
maximum loaded weight divided by the total length
of chassis frame. Detail loading of model is shown in
Figure. The magnitude of force on the upper side of
chassis is 166279.5N.There are 4 boundary
conditions of model; the first two boundary
conditions are applied in front of the chassis, the
other 2 boundary conditions are applied in rear of
chassis, there are shown in Figure.

Fig. 3.5 (a) von mises stress in chassis
Von mises stress is more in the region near
to rear leaf spring or axle.
Fig. 3.2 (a) Load condition model

Fig.3.5 (b) maximum von mises stress location

Fig. 3.2 (b) Boundary conditions

3.5.1 Displacement:
The displacement of chassis shown in
Figure. The magnitude of maximum displacement is
7.622 mm.

3.4 Element and nodes:
The meshed truck chassis model has 175988
elements and 62005 nodes. The element is
tetrahedral.
3.5 Results:
The location of Von Mises stress and
maximum shear stress are at corner of side bar which
in Figure. is 182.994 MPa.
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152 | P a g e
K. I. Swami et al Int. Journal of Engineering Research and Applications
ISSN : 2248-9622, Vol. 4, Issue 2( Version 1), February 2014, pp.150-154

www.ijera.com

Here, it is observed that, as the torque
increases, the maximum deformation increases
continuously as shown in the figure.

Fig.3.5.1 Deformation in chassis
Von mises stress is 182.944
Deformation is 7.622
3.6 Effect of torque:
During the study, Torque is varied & its
effect on the stresses & deformation is observed.
Table 3.6 Effect of varying torque
Max.
Sr.
Torque(KNDeformation
No.
m)
(mm)
1
8
48.304
2
8.5
51.323
3
9
54.341
4
9.5
57.361
5
10
60.38

Fig. 3.6 (a) Torque Vs Maximum Deformation of
Ladder Chassis
Max. Stress
(MPa)
Von Mises
430.752
457.674
484.594
511.518
538.44

Fig. 3.6 (b) Torque Vs Maximum Von Mises
Stress of Ladder Chassis
Here, it is observed that, as the torque
increases, there is increase in von mises stress.
Fig. 3.6 boundary condition and load condition on
ladder frame chassis

www.ijera.com

153 | P a g e
K. I. Swami et al Int. Journal of Engineering Research and Applications
ISSN : 2248-9622, Vol. 4, Issue 2( Version 1), February 2014, pp.150-154
3.7 Effect of torque by varying thickness of cross
member:
Table 3.7 Effect of torque by varying thickness of
Cross member
Max.
Maximum
Sr.
Thickness
Deformation
stress (MPa)
No.
(mm)
(mm)
Von Mises
1
5.667
58.588
591.734
2
6.337
52.651
483.575

[3]

IV. CONCLUSION
Analysis of Ladder Chassis Frame is
performed during this dissertation work. Following
conclusions can be drawn from the same.
 The maximum value of Von Mises Stress is
occurred at the Hinged point of at the Right end
of the beam near the top edge of Ladder chassis
frame.
 At the free end of the beam, highest deformation
has occurred leading to lowest stresses.
 As the torque decreases, the maximum
deformation decreases continuously.
 As the torque decreases, there is decrease in von
mises stress.
 Deformation & Stresses are directly proportional
to load applied.
 As thickness increases of cross member, there is
decrease in von mises stress and deformation and
vice versa.
REFERENCES
[1]
Vijaykumar V. Patel and R. I. Patel,
“Structural analysis of a ladder chassis
frame”, World Journal of Science and
Technology 2012, 2(4):05-08 ISSN: 2231 –
2587
[2]
M. Ravi Chandra, S. Sreenivasulu & Syed
Altaf Hussain, “Modeling And Structural
Analysis Of Heavy Vehicle Chassis Made
Of Polymeric Composite Material By Three

www.ijera.com

[4]

[5]

[6]

[7]

[8]

[9]

www.ijera.com

Different Cross Sections”,
Journal of
Mechanical and Production Engineering
Research and Development (IJMPERD),
ISSN 2249-6890, Vol.2, Issue 2,Sep 2012
45-60.
I. D. Paul, S. M. Sarange, G. P. Bhole And
J. R. Chaudhari, “Structural Analysis Of
Truck Chassis Using Finite Element
Method”,
International
J.of
Multidispl.Research
&
Advcs.
in
Engg.(IJMRAE), ISSN 0975-7074, Vol. 4,
No. I (January 2012), pp. 85-98
M. Zehsaz, Vakili Tahami and Esmaeili ,
“The Effect Of Connection Plat Thickness
On Stress Of Truck Chassis”, Asian Journal
of applied Science 2(1): 22-35, ISSN 19963343, 2009
Akash Lodhi, Kushal Gawande, Udbhav
Singh Chetan J. Choudhari, “Static Load
Analysis of Tata-407 Chassis -An
Approach”, Golden Research Thoughts
(March ; 2012),
Vol.1,Issue.IX/March
2012pp.1-4
Mohd Husaini Bin Abd Wahab, “Stress
Analysis of Truck Chassis”, Project Report
Universiti Malaysia Pahang, 2009
M. Ravi Chandra, S. Sreenivasulu, Syed
Altaf Hussain, “Modeling And Structural
Analysis Of Heavy Vehicle Chassis Made
Of Polymeric Composite Material By Three
Different Cross Sections”, International
Journal of Modern Engineering Research
(IJMER) Vol.2, Issue.4, July-Aug. 2012 pp2594-2600 ISSN: 2249-6645
Joseph Edward Shigley, Charles R. Mischke
“Mechanical
Engineering
Design”,
McGraw-Hill Book Company, New York,
2000, Sixth Edition
M. F. Spotts, “Design of Machine
Elements”, Prentice Hall of India Pvt. Ltd,
New delhi, 2004.

154 | P a g e

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W4201150154

  • 1. K. I. Swami et al Int. Journal of Engineering Research and Applications ISSN : 2248-9622, Vol. 4, Issue 2( Version 1), February 2014, pp.150-154 RESEARCH ARTICLE www.ijera.com OPEN ACCESS Effect of Torque on Ladder Frame Chassis of Eicher 20.16 K. I. Swami*, Prof. S. B. Tuljapure** *(Department of Mechanical Engineering, Solapur university, Solapur) ** (Department of Mechanical Engineering, Solapur University, Solapur) ABSTRACT Automotive chassis is backbone of vehicle. Chassis carries steady load, vehicle load, driving force and braking force. Hence chassis has to be designed for static and dynamic loading. In this paper chassis of Eicher 20.16 has been considered, and the behavior of chassis under same load but varying thickness is studied through Ansys. Keywords – Ansys, chassis, deformation, thickness, torque. I. INTRODUCTION The automotive chassis is tasked with holding all the components together while driving, and transferring vertical and lateral loads, caused by accelerations, on the chassis through the suspension and to the wheels. A ladder frame is the simplest and oldest frame used in modern vehicular construction. It was originally adapted from “horse and buggy” style carriages as it provided sufficient strength for holding the weight of the components. If a higher weight holding capacity was required then larger beams could be used. It was comprised of two beams that ran the entire length of the vehicle. A motor placed in the front (or rear sometimes) and supported at suspension points. Add the passenger compartment and a trunk with a load and it becomes a simple indeterminate beam. Here the chassis of Eicher 20.16 is of ladder frame type which has two side members or longitudinal members of C- cross section and seven transverse members called cross members of C- cross section. The chassis has been modeled in Ansys 13 using the most of the actual dimensions. FEM analysis was done using Ansys 13. Capacity of Truck = 11400 kg = 111834 N Capacity of Truck with 25% overload = 139792.5 N Weight of the body and engine = 2700 kg = 26487 N Total load acting on chassis = Capacity of the Chassis + Weight of body and engine = 139792.5 + 26487 = 166279.5 N Chassis has two beams. So load acting on each beam is half of the Total load acting on the chassis. Load acting on the single beam = 166279.5/2 = 83139.75 N Fig. 2.1 (a) C- section of side member II. DESIGN AND CALCULATIONS 2.1 Determination of load Model No. = 20.16 Side bar of the chassis are made from “C” Channels with 230 mm x 76 mm x 6 mm Cross member of chassis are made from “C” channels with 210mm x 76 mm x 6 mm Front Overhang (a) = 1588 mm Rear Overhang (c) = 2145mm Wheel Base (b) = 4800 mm Material of the chassis is St 52 E = 2.10 x 105 N / mm2 Poisson Ratio = 0.31 Radius of Gyration R = 230/2 =115 mm www.ijera.com Fig. 2.1 (b) C-section of cross bar 150 | P a g e
  • 2. K. I. Swami et al Int. Journal of Engineering Research and Applications ISSN : 2248-9622, Vol. 4, Issue 2( Version 1), February 2014, pp.150-154 www.ijera.com For Validation of FEM Model i.e. type of element and mesh density, a cantilever beam is taken of same length as that of main member of chassis also the cross section is same. 2.2 Type of element: - Solid45 is used for the analysis. Fig. 2.2 (a) Deformation of cantilever beam Fig.2.2 solid45 element type Tab 2.2 Table of Mesh Density No. of element 51614 No. of Nodes 18824 An arbitrary load of 1 N/mm is applied in the form of pressure on the upper face of C channel is constrained for all DOF at the end is determined using formula. Deflection of chassis for cantilever beam The fig. no.2.2 (a) shows deformed shape of cantilever beam with undeformed shape, Deflection obtained by FEM= 191.66 mm Deflection obtained by Analytical method=189.84mm Error = [(191.66-189.84)/(189.84)] x 100 =0.959% As error is within acceptable limit, mesh density and type of element selected are capable of giving correct results for whole chassis. III. FEM ANALYSIS OF MODEL 3.1 Modeling Model of chassis drawn in Ansys is as shown in figure.. Y= [(w x l4) / (8 x E x I)] Where, Y = deflection at the free end of beam w = Load per unit length l = Length of beam E = Young’s modulus of the material of the beam I = Area moment of Inertia of beam about an axis passing through its center of gravity = [(1 x 85334) / (8 x 2.1 x 105 x 16622980)] = 189.84 mm Fig.3.1 model of Ladder chassis frame 3.2 Boundary Conditions and Loading The truck chassis model is loaded by static forces from the truck body and load. The load is www.ijera.com 151 | P a g e
  • 3. K. I. Swami et al Int. Journal of Engineering Research and Applications ISSN : 2248-9622, Vol. 4, Issue 2( Version 1), February 2014, pp.150-154 www.ijera.com assumed as a uniform distributed obtained from the maximum loaded weight divided by the total length of chassis frame. Detail loading of model is shown in Figure. The magnitude of force on the upper side of chassis is 166279.5N.There are 4 boundary conditions of model; the first two boundary conditions are applied in front of the chassis, the other 2 boundary conditions are applied in rear of chassis, there are shown in Figure. Fig. 3.5 (a) von mises stress in chassis Von mises stress is more in the region near to rear leaf spring or axle. Fig. 3.2 (a) Load condition model Fig.3.5 (b) maximum von mises stress location Fig. 3.2 (b) Boundary conditions 3.5.1 Displacement: The displacement of chassis shown in Figure. The magnitude of maximum displacement is 7.622 mm. 3.4 Element and nodes: The meshed truck chassis model has 175988 elements and 62005 nodes. The element is tetrahedral. 3.5 Results: The location of Von Mises stress and maximum shear stress are at corner of side bar which in Figure. is 182.994 MPa. www.ijera.com 152 | P a g e
  • 4. K. I. Swami et al Int. Journal of Engineering Research and Applications ISSN : 2248-9622, Vol. 4, Issue 2( Version 1), February 2014, pp.150-154 www.ijera.com Here, it is observed that, as the torque increases, the maximum deformation increases continuously as shown in the figure. Fig.3.5.1 Deformation in chassis Von mises stress is 182.944 Deformation is 7.622 3.6 Effect of torque: During the study, Torque is varied & its effect on the stresses & deformation is observed. Table 3.6 Effect of varying torque Max. Sr. Torque(KNDeformation No. m) (mm) 1 8 48.304 2 8.5 51.323 3 9 54.341 4 9.5 57.361 5 10 60.38 Fig. 3.6 (a) Torque Vs Maximum Deformation of Ladder Chassis Max. Stress (MPa) Von Mises 430.752 457.674 484.594 511.518 538.44 Fig. 3.6 (b) Torque Vs Maximum Von Mises Stress of Ladder Chassis Here, it is observed that, as the torque increases, there is increase in von mises stress. Fig. 3.6 boundary condition and load condition on ladder frame chassis www.ijera.com 153 | P a g e
  • 5. K. I. Swami et al Int. Journal of Engineering Research and Applications ISSN : 2248-9622, Vol. 4, Issue 2( Version 1), February 2014, pp.150-154 3.7 Effect of torque by varying thickness of cross member: Table 3.7 Effect of torque by varying thickness of Cross member Max. Maximum Sr. Thickness Deformation stress (MPa) No. (mm) (mm) Von Mises 1 5.667 58.588 591.734 2 6.337 52.651 483.575 [3] IV. CONCLUSION Analysis of Ladder Chassis Frame is performed during this dissertation work. Following conclusions can be drawn from the same.  The maximum value of Von Mises Stress is occurred at the Hinged point of at the Right end of the beam near the top edge of Ladder chassis frame.  At the free end of the beam, highest deformation has occurred leading to lowest stresses.  As the torque decreases, the maximum deformation decreases continuously.  As the torque decreases, there is decrease in von mises stress.  Deformation & Stresses are directly proportional to load applied.  As thickness increases of cross member, there is decrease in von mises stress and deformation and vice versa. REFERENCES [1] Vijaykumar V. Patel and R. I. Patel, “Structural analysis of a ladder chassis frame”, World Journal of Science and Technology 2012, 2(4):05-08 ISSN: 2231 – 2587 [2] M. Ravi Chandra, S. Sreenivasulu & Syed Altaf Hussain, “Modeling And Structural Analysis Of Heavy Vehicle Chassis Made Of Polymeric Composite Material By Three www.ijera.com [4] [5] [6] [7] [8] [9] www.ijera.com Different Cross Sections”, Journal of Mechanical and Production Engineering Research and Development (IJMPERD), ISSN 2249-6890, Vol.2, Issue 2,Sep 2012 45-60. I. D. Paul, S. M. Sarange, G. P. Bhole And J. R. Chaudhari, “Structural Analysis Of Truck Chassis Using Finite Element Method”, International J.of Multidispl.Research & Advcs. in Engg.(IJMRAE), ISSN 0975-7074, Vol. 4, No. I (January 2012), pp. 85-98 M. Zehsaz, Vakili Tahami and Esmaeili , “The Effect Of Connection Plat Thickness On Stress Of Truck Chassis”, Asian Journal of applied Science 2(1): 22-35, ISSN 19963343, 2009 Akash Lodhi, Kushal Gawande, Udbhav Singh Chetan J. Choudhari, “Static Load Analysis of Tata-407 Chassis -An Approach”, Golden Research Thoughts (March ; 2012), Vol.1,Issue.IX/March 2012pp.1-4 Mohd Husaini Bin Abd Wahab, “Stress Analysis of Truck Chassis”, Project Report Universiti Malaysia Pahang, 2009 M. Ravi Chandra, S. Sreenivasulu, Syed Altaf Hussain, “Modeling And Structural Analysis Of Heavy Vehicle Chassis Made Of Polymeric Composite Material By Three Different Cross Sections”, International Journal of Modern Engineering Research (IJMER) Vol.2, Issue.4, July-Aug. 2012 pp2594-2600 ISSN: 2249-6645 Joseph Edward Shigley, Charles R. Mischke “Mechanical Engineering Design”, McGraw-Hill Book Company, New York, 2000, Sixth Edition M. F. Spotts, “Design of Machine Elements”, Prentice Hall of India Pvt. Ltd, New delhi, 2004. 154 | P a g e