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The material load is applied on the hopper side wall and the bottom conical portion and to analyze
the loads coming through the walls. Further work can be done on more complicated designs and
come to conclusion as to which is more stable and economic under given conditions.
Classification of Hopper
There are two distinctive types of flow of solids in Hopper namely Mass Flow and Expanded
Flow.
There is also a combination of these two flows known as Expanded Flow. Hoppers are
mainly used for protection and storage of powdered materials and designed as such to load and
unload easily. The way the Hopper is designed affects how much of the stored material can discharge
and whether any dead space reduces the capacity of the storage.
Design and Considerations of Hoppers
Ratholing (piping), Arching (Doming), Inadequate Irregular Flow, Time Consolidation
(Caking), Segregation is being considered in our work.
The structure of elevated hopper has been calculated taking considerations of wind load, live
load, dead load and seismic load. The R.C.C and the steel frame designs has been designed with
respect to the load analysis result conforming to the latest IS Codal Provisions.
Primary loading and load combination of Hopper
The primary loading of Hopper has been done in accordance with Dead load, Live Load,
Wind Load, Material Load and Seismic Load.
The performed Load calculations include:
Dead Load + Live Load + Material Load
Dead Load+ Live Load+ Material load + Wind Load
Dead Load + Live Load + Material Load+ Seismic Load
Dead Load + Wind Load
Dead Load + Seismic Load
A 3D Model For Hopper Analysis
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Calculation of Dead Load and Live Load
Application of Material Load
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A Complete View
nd Steel Hopper Designs, Riya Dey Abhirup Bhattacharjee, Journal
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117
Application Of Wind Load
Application of Seismic Load
A Complete View of 3D Concrete Hopper
nd Steel Hopper Designs, Riya Dey Abhirup Bhattacharjee, Journal
editor@iaeme.com
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Maximum Moment Affecting Zone
Maximum Shear Force Affecting Zone
Grade of concrete M 25 Grade of steel fy = fe 500
MOMENT FROM STAAD OUT PUT
HOPPER TOP PART HOPPER BOTTOM PART
VERTICAL HORIZONTAL VERTICAL HORIZONTAL
MOMENT MOMENT MOMENT MOMENT
My Mx My Mx
KN-m/m KN-m/m KN-m/m KN-m/m
5.00 10.00 5.000 10.00
HOPPER TOP PLATE
VERTICAL REINFORCEMENT
Depth of the Raft D = 250 mm
Clear cover d ' = 25 mm Bar diameter = 12 mm
Effective depth d = 219 mm
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My/bd2
= (5x1000000)/(1000x219^2) = 0.10
Pt = 0.024 Pt provided= 0.200
Ast = (0.2/100)x(1000 x 219) = 438 mm2
Provide 12 Ø @ 125 mm c/c at bottom
Area of steel provided= 904.8 mm2
Provide steel= .41 %
HORIZONTAL REINFORCEMENT
Bar diameter = 12 mm
Effective depth d = 207 mm
Mx/bd2
= (10x1000000)/(1000x207^2) = 0.23
Pt = 0.054 Pt provided= 0.200
Ast = (0.2/100)x(1000 x 207) = 414 mm2
Provide 12 Ø @ 125 mm c/c at bottom
Area of steel provided= 904.779 mm2
Pt provided= 0.44
HOPPER BOTTOM PLATE
VERTICAL REINFORCEMENT
Depth of the Raft D = 250 mm
Clear cover d ' = 25 mm Bar diameter = 12 mm
Effective depth d = 219 mm
My/bd2
= (5x1000000)/(1000x219^2) = 0.10
Pt = 0.024 Pt provided= 0.200
Ast = (0.2/100)x(1000 x 219) = 438 mm2
Provide 12 Ø @ 125 mm c/c at top
Area of steel provided= 904.8 mm2
HORIZONTAL REINFORCEMENT
Bar diameter = 12 mm
Effective depth d = 207 mm
Mx/bd2
= (10x1000000)/(1000x207^2) = 0.23
Pt min = 0.054 Pt provided= 0.20
Ast = (0.2/100)x(1000 x 207) = 414 mm2
Provide 12 Ø @ 125 mm c/c at top
Area of steel provided= 904.8 mm2
Check for Shear stress :
Maximum shear stress = τvX = 0.161 N/mm2
Permissible shear stress = τcX = 0.40 ……OK (From SP#16, table-61, for pt=) 0.44
Maximum shear stress = τvY = 0.245 N/mm2
Permissible shear stress = τcY = 0.39 N/mm2
OK
(From SP#16, table-61, for pt=) .41 %
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Steel Design Hopper
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Maximum moment Affecting Zone
Maximum Shear force Affecting Zone
A 3D view of Steel Hopper
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SN No. Description Concrete Structure Steel Structure
1.
Size Of Foundation
2.5*2.5*0.40
Approx. Concrete quantity for
4 FDN – 10.0 Cu.Cm
1.75 X 1.75 X 0.40
APPROX CONCRETE QTY
FOR 4 FDN = 5.0 CUM
2.
Quantity Of Material
TOTAL CONCRETE QTY
= 37 CUM
TOTAL REINF. BAR QTY
= 14.0 TON
TOTAL STEEL QTY
= 17 TON
TOTAL CONCRETE QTY
= 7.5 CUM
3.
Thickness Of Hopper Wall 250 MM 10 MM
4.
Cost Estimate Of Structure 14.50 LAKHS 16.80 LAKHS
5.
Durability
MORE DURABLE THAN
STEEL STRUCTURE
LESS DURABLE THAN
CONCRETE STRUCTURE
6.
Repair
REPAIR WORK IN EASIER
& CHEAPER
REPAIR WORK IS
COSTLIER
7.
Relocation of Structure
RELOCATION IS NOT
POSSIBLE
EASY TO RELOCATE THE
STRUCTURE AS PER
REQUIREMENT
8.
Looks
Detailed Comparison between RCC and Steel Hoppers
CONCLUSION
Thickness Of hopper is 250 mm for RCC hopper and it has got more dead weight and
whereas the thickness of steel hopper slab is 10 mm as a matter of which the dead weight is much
less. Overall expense is higher in steel hopper in comparison to RCC Hopper. The RCC hoppers are
more stable and durable. The steel hoppers are easy to relocate, cost effective for long usage and
basically suitable in mining areas.
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2. AISC 360-05
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American Pysical Soceity
4. Quantity Estimation Modeling of hr rice plant hopper infestation area on rice stems based on
2D Wavelet packet transform and corner detection algorithm Elsevier Science Publishers
Zhiyan Zhou, Ying Zang , Menglu Yan, Xiwen Luo
5. Near field 3D CFD modeling of over flow Plumes
6. Finite elment Analysis of a Stiffened Steel Silo International Journal of Civil and Structural
Engg. Research.
7. Sohel Ahmed Quadri and Mangulkar Madhuri N, “Investigation of The Critical Direction of
Seismic Force For The Analysis of R.C.C Frames” International Journal of Civil Engineering
& Technology (IJCIET), Volume 5, Issue 6, 2012, pp. 10 - 15, ISSN Print: 0976 – 6308, ISSN
Online: 0976 – 6316.
8. Dr. B. Ramesh Babu, “Neural Network Model For Design of One-Way R.C.C Slabs”
International Journal of Civil Engineering & Technology (IJCIET), Volume 5, Issue 3, 2014,
pp. 71 - 76, ISSN Print: 0976 – 6308, ISSN Online: 0976 – 6316.
9. Dr. B. Ramesh Babu, “Neural Network Model For Design of One-Way R.C.C Slabs Using
Ga/Bpn” International Journal of Civil Engineering & Technology (IJCIET), Volume 5, Issue
3, 2014, pp. 100 - 106, ISSN Print: 0976 – 6308, ISSN Online: 0976 – 6316.