Software Module for RCC Column Design

Software Module for Design of Rectangular and Non-Rectangular RCC Columns

Contents  Introduction and Scope of work  Review of Existing Software   

PI-Design Prokon CSI COL

 RCC Columns  

Design Basis Formulation

 Sample Problems and Applications


Introduction • Columns are most important members of Reinforced Concrete

Structures having different cross sectional shapes. • They are classified on the basis of their length, lateral

dimensions, support condition and nature of loading. • Aim of the dissertation is to prepare a SOFTWARE MODULE

FOR DESIGN OF RECTANGULAR AND NON-RECTANGULAR RCC COLUMNS subjected to Axial Force and Biaxial Bending Moments as per IS Codes • Module supports a user friendly input of required data and an

impressive graphical output of calculated data.


Scope of Work • To prepare a software module for design (capacity calc.) of

rectangular and non-rectangular shapes RCC Short Columns (incl. L, C, +, T) • To identify software requirements and prepare the formulation • To design front-end and do the implementation of module using

Microsoft Visual C++ 2010 • Testing of software and verification by comparing its results with

the standards solution available in references • To design the Security system with the help of hardware locking

system (Safe-Net Systems)


Background for Dissertation • Design of RCC Column subjected to Axial Force and Biaxial

Bending Moments is an iterative task which is tedious and time consuming if done manually which can be used for Rectangular shape only and with Symmetric Rebar Arrangements only • Present Design methodology in India is based on use of

Interaction Charts given in Handbook Design

of Reinforced Concrete

• Software packages are available for design of rectangular and

non-rectangular based on international codes but very few are based on IS code


Review of Existing Software • PI – Design • Prokon Structural Analysis & Design • CSI COL


PI - Design : Introduction • Pi–Design is a software package for advanced analysis and design

of reinforced concrete elements (columns, beams, slabs) subjected to axial forces (N) and axial or biaxial (Mx and My) bending moments. • It includes following Column sections : Rectangular, L-shaped, Z-

shaped, T-shaped, Circular, Quadrilateral, Π-shaped • It supports a user friendly graphical input of required data and an

impressive graphical output of calculated data.


PI - Design : Specification Design codes •EC2 (Eurocodes) •EKOS 2000 (Greek regulations) •German DIN 1045 (nominal Bn και ΒSt)

Materials •Concrete from C12 to C90 •All steel qualities • All calculated data are adequately organized in table format,

ready to be printed. All diagrams are visualized both in 2D and 3D for a better clarification and presentation. Software Module for Design of Rectangular and Non-Rectangular RCC Columns

PI - Design : User Interface


Prokon : Introduction PROKON Structural Analysis and Design is a useful tool for solving everyday building design problems The concrete Column Design modules are suitable for the design of the following column types: • Rectangular Column Design, RecCol: Solid rectangular columns of

which the larger column dimension does not exceed four times the smaller dimension. • Circular Column Design, CirCol: Solid circular columns where the

simplified design approach applicable to rectangular columns may be applied. • General Column Design, GenCol: Columns of any general shape

and columns with openings. Software Module for Design of Rectangular and Non-Rectangular RCC Columns

Prokon : Specification • All column design modules can design reinforced concrete

columns subjected to axial load and bi-axial bending • Bending schedules can be generated for editing and printing • Code of Practice supported: • • • • •

• •

ACI 318 - 1993. BS 8110 - 1987. BS 8110 - 1997. CSA-A23.3 - 1994. Eurocode 2 -1992. SABS 0100 - 1992. IS-456 : 2000


11

Prokon : Input Form


Prokon : Design Chart


CSI COL : Introduction • CSICOL is a comprehensive software package for analyzing and

designing reinforced concrete, and reinforced concrete composite columns of all shapes. • Software designs the column and perform the check in

accordance with the specifications of the selected design code • Generate capacity interaction surfaces and diagrams • Code of Practice supported: •

• • •

ACI 318 - 1993. BS 8110 - 1997. IS 456 - 2000 Eurocode 2 -1992.


CSI COL : User Interface


Column Design Basics Axial Load Capacity: • Pu = (0.446* fck*Ac) + (0.87* fy*Asc)

for fy = 250

• Pu = (0.446* fck*Ac) + (0.79* fy*Asc)

for fy = 415

• Pu = (0.446* fck*Ac) + (0.75* fy*Asc)

for fy = 500

For axially loaded column, εmax = 0.002 When eccentricity ≤ 0.05D or 0.05B Pu= Puc + Pus Pu = (0.4* fck*Ac) + (0.67* fy*Asc) Software Module for Design of Rectangular and Non-Rectangular RCC Columns

Column Design Basics Column Subjected to Axial Load with Biaxial Bending: When the Column is subjected to axial load with biaxial bending, such columns are designed by the following equation. 𝑀𝑢𝑥 𝛼𝑛 𝑀𝑢𝑦 𝛼𝑛 ( ) +( ) ≤ 𝑀𝑢𝑥𝑙 𝑀𝑢𝑦𝑙

1

αn is related to Pu/Puz. where, Puz = ( 0.45*fck*Ac) + (0.75*fy*Asc)


Formulation for L – Column For Axial Load + Uniaxial Bending 1) Highly Compressed Edge at Flange Portion (Moment is –ve) 

Neutral Axis Lies Outside The Section



Neutral Axis Lies Inside The Section

2) Highly Compressed Edge at Web Portion (Moment is +ve) 

Neutral Axis Lies Outside The Section



Neutral Axis Lies Inside The Section

Neutral Axis Lies Outside the Section 3 a) D > D1 : 7

𝑃𝑖∗𝐴

ℎ

3

ℎ

3

𝑔 2 𝑛 𝑃 = 𝑖𝑛𝑡*𝐵 ∗ (− +𝐹 2 ∗ 𝐵1− 𝐷, 𝑘𝐷 − 7 𝐷+ 𝑃𝑢 = 𝑃𝑢1 + 𝑃𝑢2 + 𝑃𝑢3 + ∗ 𝑔𝐹∗2𝑠𝑖𝑥𝐵7− 𝑃𝑢3 = 0.446 ∗ ∗𝐷 𝐷− 1 𝑢2 1 𝑘𝐷 𝑐𝑖 𝑢1 1 𝑔𝐷𝑥), 𝑖=1 100𝐹𝑐𝑘 𝑛 𝑃𝑖 ∗ 𝐴𝑔 3 3 ℎ 2 𝐷 ℎ 𝐷 𝐷 𝐷 − = 𝑖𝑛𝑡*𝐵 ∗𝐷21 −+𝑔𝑃 𝑥 + 22𝑔−𝑥 𝑋3∗ 𝑥+, 𝑘𝐷 − 𝐷, 𝑘𝐷 ∗− 𝐹 𝐷+− 𝐹𝑐𝑖 ∗ 𝑌𝑖 𝑀𝑢 = 𝑃𝑢1 + 3𝑃𝑢2 − 1𝑋 2 𝑢3 2 − 𝑋1 𝐴𝑋 2 7 7 𝑠𝑖 100 𝑋 = 0.5 ∗ 𝐷 𝑋21= + 𝐷1 1 𝑖=1 2 𝑋3 = 𝑘𝐷 − 𝐴𝑋3 /𝑃𝑢3

Neutral Axis Lies Outside the Section 3 b) D < D1 : 7

ℎ3 2 ℎ 33 = 𝑖𝑛𝑡*𝐵 ∗ (− 𝑥 + 2 𝑥), 𝑘𝐷 − 𝐷, 𝐷 𝑘𝐷 , 𝑘𝐷 − − 𝐷+ 𝐷+ 𝑃𝑃𝑢1 = 0.446 ∗ 𝐹𝑐𝑘 ∗ 𝐷 ∗ 𝐵 𝑢2 𝑢3 1 2 1 𝑔27 𝑔 77 ℎ 2 ℎ 33 𝐴𝑋23= 3𝑖𝑛𝑡*𝐵 ∗ − 𝑥 + 2 𝑥 ∗ 𝑥 , 𝑘𝐷 − 𝐷 , 𝑘𝐷 − 𝐷+ 𝐷, 𝑘𝐷 − 𝐷+ 𝐷 21 1 𝑔2 𝑔 77 7 𝑋1 = 𝑋23= 𝑘𝐷 2 − 𝐴𝑋23/𝑃𝑢2 𝑢3

Neutral Axis Lies Inside the Section 3 a) Xu > D1 : 7

ℎ 32 ℎ 4 = 𝑖𝑛𝑡*𝐵 ∗ (− 𝑥 + 2 𝑥), 0 , 𝑘𝐷+ 𝑃𝑃𝑢1 = 0.446 ∗ 𝐹𝑐𝑘 ∗ 𝐵 ∗ 𝐷 𝑋 − 𝐷 ∗ 𝐵 𝑢3 1 1 𝑢2 𝑔2 7 𝑢 𝑔 1 71 ℎ ℎ 4 𝑋31 = 𝑖𝑛𝑡*𝐵 0.53 ∗ 1𝐷1∗ − 2 𝑥 2 + 2 𝑥 ∗ 𝑥 , 0 , 𝑘𝐷+ 𝐴𝑋 𝑔 7 𝑋𝑢 − 𝐷1 𝑔 7 𝑋𝑋32== 𝑘𝐷 − 𝐴𝑋3 /𝑃𝑢3+ 𝐷1 2

Neutral Axis Lies Inside the Section 3 b) Xu < D1 : 7

ℎ3 2 ℎ 4 4 𝑘𝐷 − 𝐷 , 𝑃 = 0.446 ∗ 𝐹𝑐𝑘 ∗ 𝑋 ∗ 𝐵 𝑃𝑢1 = 𝑖𝑛𝑡*𝐵 ∗ (− 𝑥 + 2 𝑥), 0 , 𝑘𝐷+ 𝑢2 2 1 7 𝑘𝐷+ 𝑢3 1 𝑔27 𝑢 𝑔 7 4 4 3𝑖𝑛𝑡*𝐵 ∗ − ℎℎ 𝑥 22 + 2 ℎℎ 𝑥 ∗ 𝑥 , 𝑘𝐷 − 𝐴𝑋 = 𝐷 , 𝐴𝑋23 = 𝑖𝑛𝑡*𝐵 0 , 7 𝑘𝐷+ 𝑋𝑢 21 1 7 𝑘𝐷+ 𝑔 𝑔 𝑔22 𝑔 7 𝑋1 = 2 − 𝐴𝑋2 /𝑃𝑢2 𝑋32 = 𝑘𝐷 3 𝑢3

Neutral Axis Lies Inside the Section c) Xu < D1 :

ℎ 32 ℎ 4 𝑃𝑃𝑢2 = 𝑖𝑛𝑡*𝐵 (− 𝑥 + 2 𝑥), 0 , 𝑘𝐷+ = 0.446 ∗ 𝐹𝑐𝑘 ∗ 𝑋 ∗ 𝐵 𝑢1 𝑔2 7 𝑢 𝑔 7 3 𝑋𝑢 ∗ − ℎ2 𝑥 2 + 2 ℎ 𝑥 ∗ 𝑥 , 0 , 4 𝑘𝐷+ 𝐴𝑋2 = 7𝑖𝑛𝑡*𝐵 𝑔 𝑔 7 𝑋1 = 2 𝑋2 = 𝑘𝐷 − 𝐴𝑋2 /𝑃𝑢2

Description of the Program • Program contains separate modules for different column shapes • Input Geometrical and Reinforcement data • Input Pu, Mux and Muy for all load combinations • Click ‘Check’ button. This will prepare interaction diagram for

Pu-Mux and Pu-Muy. • Program will read the Muxl and Muyl values from interaction

diagram corresponding to given axial load Pu. • Inequality ratio is calculated based on moment capacities

obtained • It checks the criteria of minimum and maximum percentage of

steel, axial load carrying capacity of the section and spacing of reinforcement Software Module for Design of Rectangular and Non-Rectangular RCC Columns

Sample Problems Problem:- 1 (Rectangular Column) Reference Book: SP-16, Example-8, Pg.105 B = 400 mm

fck = 15 MPa

D = 600 mm

fy = 415 MPa

Pu = 1600 kN

Mux = 120 kNm

Muy = 90 kNm

Solution: SP-16 : Pt = 1.27%, Muxl = 205.2 kNm and Muyl =122.4 kNm By using program: Pt = 1.27%, Muxl = 218.3 kNm and Muyl =135.4 kNm Inequality ratio is 0.85 Software Module for Design of Rectangular and Non-Rectangular RCC Columns

Sample Problems Problem:- 2 (L-Shape Column) Reference Book: Handbook of Reinforced Concrete Design

By S. N. Sinha. (Example 5.8, Pg.257) B = 1000 mm

B1 = 250 mm

D = 1000 mm

D1 = 250 mm

fck = 25 MPa

fy = 415 MPa

Pu = 4000 kN Mux = -1390 kNm

Muy = -1390 kNm

Solution: By using the interaction curve, Pt = 3.40% is required for the safe design. By using program, Pt = 3.38% for the same data and reinforcement pattern Software Module for Design of Rectangular and Non-Rectangular RCC Columns

Notations


Sample Problems Problem:- 3 (T-Shape Column) Reference Book: Handbook of Reinforced Concrete Design

By S. N. Sinha. (Example 5.9, Pg.315) B = 1000 mm

B1 = 250 mm

D = 1000 mm

D1 = 250 mm

fck = 20 MPa

fy = 415 MPa

Pu = 4000 kN Mux = -1390 kNm

Muy = 750 kNm

Solution: By using the interaction curve, Pt = 3.84% is required for the safe design. By using program, Pt = 3.52% for the same data and reinforcement pattern Software Module for Design of Rectangular and Non-Rectangular RCC Columns


Sample Problems Problem:- 4 (Plus-Shape Column) Reference Book: Handbook of Reinforced Concrete Design

By S. N. Sinha. B = 800 mm

B1 = 200 mm

D = 800 mm

D1 = 200 mm

fck = 20 MPa

fy = 415 MPa

Pu = 2240 kN Pt = 2.80% Solution:

By Using interaction curves, values of Muxl =Muyl =473 kNm. By using program, we get Muxl = Muyl = 480.54 kNm for the same data and reinforcement pattern. Software Module for Design of Rectangular and Non-Rectangular RCC Columns


Sample Problems Problem:- 5 (C-Shape Column) Illustrative Problem

B = 800 mm

B1 = 200 mm

D = 800 mm

D1 = 200 mm

fck = 25 MPa

fy = 415 MPa

Pu = 4000 kN Mux = 750 kNm

Muy = -750 kNm

Solution: By using program, Pt = 2.36%



Security System • Safe Net systems provide Sentinel HASP HL hardware based

protection and licensing component. • Sentinel HASP HL comes in USB Card form factors that protect

software against piracy and illegal copying by allowing access and execution of the protected software only when the key is connected to the computer. • This system is being used by well known softwares like STRUDS

and STRAP for security purpose. • Cost per dongle ranges from Rs.600 to 2000 based on the size of

software and its platform. For this module, the purchased dongle costs Rs 650 Software Module for Design of Rectangular and Non-Rectangular RCC Columns

References • Ivor Horton, Beginning Visual C++ 2010, Wiley Publication Inc.,2010 • Infosys Campus Connect Generic Courseware • Sinha S.N., Handbook of Reinforced Concrete Design, Tata McGraw - Hill,

2004. • Variyani U.H. and Radhaji A., Design Aids for Limit State Design of

Reinforced Concrete Members, Khanna Publishers, 2001. • Special Publication SP: 16, Design Aids (for reinforced concrete) to IS

456: 1978, Bureau of Indian standard, New Delhi, 1980 • IS 456:2000, Indian Standard Plain and Reinforced Code of Practice

(Fourth Revision), Bureau of Indian Standard • Unnikrishna Pillai and Devdas Menon, Reinforced Concrete Design,

Second edition, Tata McGraw - Hill, 2003. Software Module for Design of Rectangular and Non-Rectangular RCC Columns

Software Module for RCC Column Design

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