Saturday, 7 December 2024

Reinforced Concrete Buckling-Restrained Braced Frame with Structural Fuse Detailed for Seismic Loading

 Reinforced Concrete Buckling-Restrained Braced Frame with Structural Fuse Detailed for Seismic Loading


Abstract
Buckling-restrained braces (BRBs) increase the strength of a system while dissipating a significant amount of hysteretic energy. This research presents a concept for a lateral force-resisting system using a reinforced concrete buckling-restrained braced frame (RCBRB) as a structural fuse for the design of new buildings in seismic regions. Experimental and numerical analysis results are presented for a single-story subassembly. The experiment was performed on a reduced-scale prototype reinforced concrete (RC) frame designed and constructed with modern seismic details and supplemented with a BRB as a structural fuse to examine the structural performance of the RCBRB frame under quasi-static cyclic loads. The BRB fractured in tension at approximately 3.5% drift ratio with minor repairable damage observed in the RC frame members. A numerical analysis model was developed in OpenSees with various material types and elements to model the nonlinear behaviour of the proposed system compared with the numerical analysis model of the undamaged RC frame; the global and local experimental response of the RC frame and BRB was used to validate the numerical model. When compared to the numerical analysis results of the RC frame, the resulting RCBRB frame increased both the lateral load capacity and stiffness of the RC frame by approximately 250%. The resulting lateral force-resisting system would be capable of resisting strong earthquake ground motions that can yield or even fracture the BRB without damaging the RC frame beyond a state of repair. The BRB was attached to the RC frame utilizing steel embed plates cast into the concrete that were designed using the uniform force method. A numerical model was developed and validated using the experimental results and showed that the RCBRB frame more than doubled the lateral strength and nearly tripled the total hysteretic energy dissipation when compared to the numerical analysis model results of an undamaged RC frame alone.

Thanks too

Authors: Jake D. Dunn,
S.M.ASCE jacobddunn@gmail.com, and
Chris P. Pantelides,
F.ASCE https://lnkd.in/gbHuzmNs c.pantelides@utah.edu
AUTHOR AFFILIATIONS
Publication: Journal of Structural Engineering
Volume 151, Issue 2
https://lnkd.in/gfpxKKpb

Revisiting the Ambient and Postfire Strength of Channel-Type Shear Connectors

 

Revisiting the Ambient and Postfire Strength of Channel-Type Shear Connectors


Abstract

The ability of steel-concrete composite floor systems to withstand loads relies on shear connectors, which prevent or limit slip between the two materials. This paper presents an experimentally validated numerical investigation along with parametric studies aimed at evaluating the behaviour of channel-type shear connectors in ambient and postfire conditions. A three-dimensional finite-element model of a push-out test was developed, which incorporated the nonlinear material properties of steel and concrete in ambient conditions as well as their thermomechanical properties to simulate heating and cooling and the effects of fire exposure. The model was validated using experimental data obtained by the authors and those from previous studies. Subsequently, a parametric study assessed the load-slip behaviour of the channel-type connectors assuming different compressive strengths of concrete, slab thicknesses, connector dimensions, and maximum temperatures experienced. The failure mode in ambient and postfire conditions was observed to be affected by the length, web thickness, and height of the channel, but not by its flange thickness. The numerical results, combined with an analytical investigation of failure mechanisms, were then used to develop an improved design equation for channel-type shear connectors, which performs noticeably better than current design provisions in comparison with experimental data.

Thanks to 

Virtual Constant Load Method for Moving Force Identification on Simply Supported Beam

 Virtual Constant Load Method for Moving Force Identification on Simply Supported Beam


Abstract
During the operation of a simply supported beam bridge, moving forces are a primary load on the bridge. Therefore, moving force identification (MFI) is essential for ensuring bridge safety. Nevertheless, current theories for identifying moving forces present shortcomings. To ascertain the force through the bridge beam response, it is essential to know the beam’s bending stiffness. Practical or laboratory measurements of this bending stiffness are difficult to record, limiting practical implementations of MFI theory. Therefore, a virtual constant load (VCL) method is developed to achieve MFI when the beam bending stiffness is unknown. The proposed method uses a vehicle with a known axle load to efficiently traverse a simply supported beam. Upon establishing a correlation between the dynamic responses and the MFI model under the influence of the known axle load, a correction coefficient is derived for characterizing the strain response of the MFI model. This coefficient includes bending stiffness information, eliminating the need to explicitly solve for the beam bending stiffness. The updated model effectively achieves force identification when the bridge bending stiffness is unknown. To validate this method, MFI was conducted using numerical and laboratory analyses. The results demonstrate that the proposed method can accurately identify moving forces acting on beams with unknown bending stiffness.

THANKS TO

Authors:
Hai-Chao Zhou zhouhc1712@163.com,
Hong-Nan Li, F.ASCE hnli@dlut.edu.cn,
Ting-Hua Yi, M.ASCE yth@dlut.edu.cn, and
Dong-Hui Yang, M.ASCE dhyang@dlut.edu.cn
AUTHOR AFFILIATIONS
Publication: Journal of Structural Engineering
Volume 151, Issue 2
https://lnkd.in/gAcVWFYM

Monday, 13 February 2023

Isolated footing design as per IS 456-2000 code | structural design | civil engineering

 

Isolated footing design as per IS 456-2000 code | structural design | civil engineering

Footing the structure which exists below the ground level; the strength of the building is depending upon the reinforcement details of the foundation. The reinforcement details depend upon the total load which is acts on building structures. The loads related to the gravity loads and gravity loads are considered in the foundation design. The load is taken as a point load which acts in the column section. In this article, I will explain to you the clear concept regarding the isolated footing design as per IS 456-2000 code by manual calculations. In the column design and assume the load is taken as 1200kN and dimensions of the columns are obtained as 400mmX400mm cross-section.

Basic formulas used in the design as per IS456-2000 code

For the design of RCC footing as per the IS456 code the following 8 basic formulas are used which are given as per IS 456 standards.

  1. Area of footing = Total load/SBC
  2. Soil pressure = qu = Total load/Area of footing
  3. Factored shear force Vu1 = (quB/2) (B-C1-2d)
  4. One way shear resistance = Vc= τcbd
  5. Factored shear force / Two way shear = Vu2 = qu (B2-(C1+d)2)
  6. Punching / Two-way shear resistance = Vc=Ksτcb0d
  7. Ultimate moment Mu = (quB/8) (B-C)2
  8. Mu = 0.87fyAstd(1-(Astfy/bdfck))

Steps used in Isolated footing design as per IS 456 code

The following six steps are used in the isolated footing design as per IS 456

  1. Load calculations
  2. Size of footings
  3. Calculation of net upward pressure at ultimate load
  4. Calculation of one-way shear to determine the depth
  5. Check for punching shear / Two-way shear
  6. Reinforcement design

Example of Isolated footing design as per IS 456-2000 code standards

Design RCC isolated footing for 400 mmX400 mm column size which carries a load of 1200kN on the column, take Soil bearing capacity of the soil (SBC) is 200kN/m2. Assume M20 grade concrete and Fe 415 grade steel.

Step 1: Load calculations

Given load P = 1200kN

Factor load (or) ultimate load = 1.5P = 1.5X1200 = 1800kN

Consider self-weight of footing and backfill is 10% column load

= (10%column load) = (10/100)1800 = 120kN

Now the total load on the column      = Factor load + 10% column load

= 1800+120 =1920 kN

Step 2: Size of footings calculations

As per step1, the total load is obtained as 1920 kN

Let us consider the square footing which is having length and width as B

So the area of footing is given by BXB = B2

As per the formula of area of footing is given by

B2 =  Total load/SBC = 1920/200 = 9.6 m2

By solving we can get the value of B = 3.1m

So final area of footing provided is = 3.1mX3.1m =9.61 m2

Step 3: Calculation of net upward pressure at ultimate load

The calculated ultimate load from step 1 is 1920kN

Soil pressure = qu = Total load/Area of footing  = 1920/9.61 = 199.80 kN/m2

So take soil pressure qu = 200 kN/m2

uplift pressure in isolated footing
Upward pressure

Step 4: Calculation and check for one way shear to determine the depth

footing design depth
One way shear and moment

From formulae of factored shear force for one-way shear

Factored shear force Vu1 = (quB/2) (B-C1-2d)

By taking the values Vu1 = ((0.2X3100)/2)(3100-400-2d)

By solving the above equation we can get

Vu1 = 310(2700-2d) ————————– equation 1

By assuming the percentage of steel in the footing

Pt =0.15%

From table 19 of IS 456-2000 code

Design shear  = 0.36 N/mm2

And one way shear resistance is given by Vc= τcbd

By substituting the values Vc1    = 0.36X3100d

Vc1    =1116d ——————————- equation 2

By solving equation 1 and equation 2

310(2700-2d) = 1116d

We can get the value of d as 482.19mm

Let us consider the cover as 68mm

So overall depth is given by 482+68 = 550mm

depth of footing
Depth of isolated footing

Step 5: Check for punching shear / Two-way shear

Since we have formulae

Factored shear force / Two way shear = Vu2 = qu (B2-(C1+d)2)

section for footing
Two-way shear and moment

By substituting the values in the above expression

Vu2    =       0.2 (31002 – (400+550)2)

=       1741.5 kN

Again we have punching / two-way shear resistance

Vc2     =       Ksb0d

Where b0     =       4(C1+d)

=       4(400+550)

=       3800

From clause 31.6.3 permissible shear stress ( IS 456-2000)

c = 0.25 fy1/2  = 0.25X201/2  = 1.118 N/mm2  and Ks =1

By substituting the values we can get

Vc2                      =       1X1.118X3800X550

=       2336.62 kN

So here Vc2  > Vu2, hence 550mm depth is safe

Step 6: Reinforcement design calculation

We have the ultimate moment expression from the formulae section

Mu = (quB/8) (B-C)2

By substituting the values we can get

Mu = ((0.2X3100)/8) (3100-400)2

Mu = 564.975 kN.m

By using the Mu expression we can easily calculate the Ast value

Mu = 0.87fyAstd(1-(Astfy/bdfck))

564.975 X 106 = 0.87X20XAstX550 (1-(AstX415/3100X400X20))

By solving the above equation we can get the value of Ast

So here Ast = 2951.4 mm2

Let us consider 16mm diameter bars

Area of 1 bar provided = µ/4(16)2 = 201 mm2

Number of bars required  = Ast/Area of 1 bar = 2951.4/201 = 14.68no’s

Take 15 numbers of 16 mm diameter bars

Spacing = (A/Ast)XB

= (201/2951.4)X3100

= 211.12 mm

So the final reinforcement for isolated footing as per IS 456-2000 code is obtained by using 16mm diameter bars at 210 C/C distance in both X direction and Y direction.

The final reinforcement view is shown in the below figure.

Final footing
Final reinforcement details

Conclusion of complete isolated footing design as per IS 456-2000 code

Well, now the above-explained concepts are related to the complete design of isolated footing as per IS 456-2000 code. The detailed calculation is shown for a 1200kN load with a column size of 400mmX400mm dimensions. As per the final detailing the reinforcement details are obtained by using 16mm diameter bars at 210 C/C distance in both the X direction and Y direction.

Er. SP. ASWINPALANIAPPAN., M.E., (Strut/.,)., (Ph.D.,)

Structural Engineer

http://civilbaselife.blogspot.com