This study investigates the P-delta effect, which is a secondary effect or a geometric non-linear effect in the analysis of a circular overhead water tank with a capacity of 100 KL using STAAD software in high seismic zones, i.e., Zone IV & Zone V with a focus on optimization of staging height and to quantify the effect of P-Delta. Initially, a linear static analysis was performed without considering the P-Delta effect to determine the shear forces, bending moments and lateral displacements due to all possible loads including seismic and wind loads acting on RCC overhead water tanks. Subsequently, the P-Delta effect has been considered to assess the structural behaviour of the RCC overhead water tank with varying staging heights. To optimize the staging height, the maximum lateral displacement has been considered as the governing criteria. Based on the analysis, the optimum staging heights can be observed at 30 m. and 33 m. in Seismic Zone V and Zone IV respectively.
Introduction
I. INTRODUCTION
Rapid urban growth and population growth requires the development of a reliable water supply, especially in earthquake-prone regions where the risk of damage from earthquakes is high. An important part of this system is reinforced concrete (RCC) waterworks, which must be designed to withstand seismic forces while ensuring proper water distribution. The water distribution area will increase as the above water tank's staging height rises.
The P-Delta effect plays a crucial role in the analysis of structures when they encounter with lateral forces. When a tall structure or structural component is subjected to lateral forces or significant lateral displacement, it leads to additional moments, and/or axial force distribution at the base of the structure. In the P-Delta analysis initially structural response under the imposed loads, conduct a linear static analysis without considering the P-Delta effect, later that The P-Delta effect is to be taken into account in this analysis either geometric nonlinear analysis or iterative process or both.
In this study to assess and quantify the structural performance parameters like axial force, shear force, bending moment of the overhead water tank with and without P-Delta effect in accordance with IS codal provisions, subsequently to optimize the staging height of the 100 KL circular RCC overhead water tank in high seismic zones.
II. NUMERICAL MODELLING
A circular flat bottom RC overhead water tank has modelled in Bentley Staad pro software. The columns, brace/tie beams and ring beams are considered as beam elements and tank walls, top and bottom slabs are considered as plate elements with the following input parameters
Table I - Input Parameters for tank Model
S No.
Parameter
Value
1
Tank Type
Flat bottom circular RCC Overhead tank
2
Capacity of tank
100 KL
3
Dia. of Tank
6.5 m
4
Height of tank
3.5 m
5.
Free board
0.3 m
6
Dead storage
0.2 m
7
No. of columns
6 No.s
V. DISCUSSIONS
The P Delta effect has a greater impact from the corresponding parameters, such as displacements, axial shear, shear force, and bending moment, as the staging height increases.
The earthquake load is the predominant force up to 21 meters of staging height; after that, the wind load is the predominant for determining the maximum lateral displacement.
Moving from Seismic Zone IV to Seismic Zone V for a common staging height result in increases in displacement, shear force, and bending moments.
As a result, the maximum lateral displacement in Seismic Zone V exceeding the allowable limit at a staging height of 33 meters, hence the analysis in Zone IV is performed from a staging height of 27 meters.
VI. FUTURE SCOPE
The current investigations can be extended by considering the following parameters
The tank's storage capacity can be increased in various soil conditions, more research can be done.
In this study, only simple bracing was performed; additionally, because the type of bracing varies, the outcomes may also vary.
Since the current study focused on seismic zones IV and V, additional seismic zones might be taken into consideration as well, which could lead to more generalised outcomes.
Conclusion
The following conclusions have been shown after the analysis of a circular overhead water tank in high seismic zones i.e., Zone IV & V with the aforementioned parametric study as outlined below:
1) The maximum axial force for a certain staging height for a given zone is shown to have an average increment of 1.8% in tank full condition and 1.3% in tank empty condition which takes the P-Delta effect into account.
2) The maximum shear force for a certain staging height for a given zone is shown to have an average increment of 2.5% in tank full condition and 2.05% in tank empty condition which takes the P-Delta effect into account.
3) The maximum Bending Moment for a certain staging height for a given zone is shown to have an average increment of 3.3% in tank full condition and 2.15% in tank empty condition which takes the P-Delta effect into account.
4) The optimum staging height of 30m. has been arrived in seismic zone V by considering the exceedance of maximum lateral displacement i.e., Hs/500 for the cases with & without P-Delta and tank full & empty conditions.
5) The optimum staging height of 33m. has been arrived in seismic zone IV by considering the exceedance of maximum lateral displacement i.e., Hs/500 for the cases with & without P-Delta and tank full & empty conditions.
References
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