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

Monday 30 January 2023

Types of Bracing Systems

Types of Bracing Systems
 

The bracing systems are necessary for structures that are subjected to lateral loads due to earthquakes, wind, etc. They help in minimizing the lateral deflection of the structure.

We can say that the beams and columns of the framed structure carry vertical loads while the bracing system carries lateral loads.

Contents 

1. Advantages of Bracing systems

2. Types of Bracing Systems

2.1. Horizontal Bracing System

2.2. Vertical Bracing System

Advantages of Bracing systems

  1. Under bending loads compression flange of the main beam tend to buckle horizontally. The Bracing systems resist the buckling of the main beam.
  2. The bracing system helps in distributing the vertical and lateral loads between the main beams.

Types of Bracing Systems

Majorly Bracing systems are classified as:

  1. Horizontal Bracing System
  2. Vertical Bracing System

Horizontal Bracing System

This consists of bracing at each floor in the horizontal planes thus providing load paths so that the horizontal forces can be transferred to the planes of vertical bracing.

The horizontal bracing system is too divided into two major types namely:

  1. Diaphragms and
  2. Discrete triangulated bracing

Some floor systems provide a perfect horizontal diaphragm while others like precast concrete slabs require specific measures. It can be understood by the example of steelwork and precast concrete slab as these must be joint together properly to avoid relative movements. 

Discrete triangulated bracing is taken into consideration when the floor system cannot be used as a horizontal bracing system.




Discrete triangulated bracing

Vertical Bracing System

In vertical planes, bracing between column lines provides load paths that are used to transfer horizontal forces to ground level. This system aims to transfer horizontal loads to the foundations and withstand the overall sway of the structure. These are the bracings placed between two lines of columns. 

It can also be studied in two types namely:

  1. Cross-bracing and
  2. Single diagonal.

Cross bracing is slenderly withstanding tension forces only and not compression forces, it also provides necessary lateral stability depending on the direction of loading.

Unlike Cross bracing, Single diagonal bracing is designed to resist both tension forces and compression forces. In this, diagonal structural members are inserted into rectangular areas of a structural frame which is good for the stabilization of the frame. For fulfilling the requirement of a comparatively efficient system, bracing elements are placed at nearly 45 degrees. This arrangement is strong and compact. 

The vertical Bracing system is designed to resist: 

  • Wind forces
  • Equivalent horizontal forces

The number of vertical planes required to be installed:

  • A minimum of two vertical planes in each orthogonal direction are provided so that to avoid disproportionate collapse.
  • At least three vertical bracings are provided so that to generate adequate resistance in both directions in the plan and against torsion forces around the vertical axis of the structure.
  • A higher number of vertical planes of bracing will enhance structural stability.

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

Structural Engineer

http://civilbaselife.blogspot.com

Tuesday 10 January 2023

THERMAL BRIDGES IN WALL CONSTRUCTION

 

THERMAL BRIDGES IN WALL CONSTRUCTION


INTRODUCTION

Thermal bridging occurs when a relatively small area of a wall, floor, or roof loses much more heat than the surrounding area. Thermal bridging can occur in any type of building construction. The effects of thermal bridging may include increased heat loss, occupant discomfort, unanticipated expansion/contraction, condensation, freeze-thaw damage, and related moisture and/or mold problems for materials susceptible to moisture. The severity of the thermal bridge is determined by the extent of these effects.

Thermal bridges, and the subsequent damage, can be avoided by several strategies which are best implemented during the design stage when changes can be easily incorporated. After construction, repairing thermal bridges can be both costly and difficult.

THERMAL BRIDGING

A thermal bridge allows heat to “short circuit” insulation. Typically, this occurs when a material of high thermal conductivity, such as steel framing or concrete, penetrates or interrupts a layer of low thermal conductivity material, such as insulation. Thermal bridges can also occur where building elements are joined, such as exposed concrete floor slabs and beams that abut or penetrate the exterior walls of a building.

Causes

Thermal bridging is most often caused by improper installation or by material choice/building design. An example of improper installation leading to thermal bridging is gaps in insulation, which allow heat to escape around the insulation and may also allow air leakage. For this reason, insulation materials should be installed without gaps at the floor, ceiling, roof, walls, framing, or between the adjacent insulation materials. Further, insulation materials should be installed so that they remain in position over time.

Although thermal bridging is primarily associated with conduction heat transfer (heat flow through solid materials), thermal bridging effects can be magnified by heat and moisture transfer due to air movement, particularly when warm, moist air enters the wall. For this reason, buildings with typically high interior humidity levels, such as swimming pools, spas, and cold storage facilities, are particularly susceptible to moisture damage. Proper installation of vapor and air retarders can greatly reduce moisture damage caused by thermal bridges. Concrete masonry construction does not necessarily require separate vapor or air retarders: check local building codes for requirements.

Minimizing moisture leakage will also alleviate thermal bridging due to air leakage for two reasons: air will flow through the same points that allow moisture entry; and water leakage can lead, in some cases, to degradation of air barriers and insulation materials.

Effects

Possible effects of thermal bridges are:

  • increased heat loss through the wall, leading to higher operating costs,
  • unanticipated expansion and/or contraction,
  • local cold or hot spots on the interior at the thermal bridge locations, leading to occupant discomfort and, in some cases, to condensation, moisture-related building damage, and health and safety issues,
  • local cold or hot spots within the wall construction, leading to moisture condensation within the wall, and possibly to damage of the building materials and/or health and safety problems, and/or
  • local warm spots on the building exterior, potentially leading to freeze-that damage, such as ice dams, unanticipated expansion or contraction, and possible health and safety issues.

Not all thermal bridges cause these severe effects. However, the severity of a particular thermal bridge should be judged by the effect of the thermal bridge on the overall energy performance of the building; the effect on occupant comfort; the impact on moisture condensation and associated aesthetic and/ or structural damage; and degradation of the building materials. Appropriate corrective measures can then be applied to the design.

Requirements

ASHRAE Standard 90.1, Energy Standard for Buildings Except for Low-Rise Residential Buildings (ref. 1) (included by reference in the International Energy Conservation Code (ref. 2)) addresses thermal bridging in a wall, floor, and roof assemblies by mandating that thermal bridging be accounted for when determining or reporting assembly R-values and U- factors. For concrete masonry walls, acceptable methods for determining R-values/U-factors that account for the thermal bridging through concrete masonry unit webs include testing, isothermal planes calculation method (also called series-parallel calculation method), or two-dimensional calculation method. NCMA-published R-values and U-factors, such as those in TEK 6-1C, R-Values of Multi-Wythe Concrete Masonry Walls, TEK 6-2C, R-Values and U-Factors for Single Wythe Concrete Masonry Walls, and the Thermal Catalog of Concrete Masonry Assemblies (refs. 4, 5, 6), are determined using the isothermal planes calculation method. The method is briefly described in TEK 6-1C as it applies to concrete masonry walls.

SINGLE WYTHE MASONRY WALL

In a single wythe concrete masonry wall the webs of the block and grouted cores can act as thermal bridges, particularly when the cores of the concrete masonry units are insulated. However, this heat loss is rarely severe enough to cause moisture condensation on the masonry surface or other aesthetic or structural damage. These thermal bridges are considered when determining the wall’s overall R-value, as noted above. In severe climates, in certain interior environments where condensation may occur under some conditions, or when otherwise required, the thermal bridging effects can be eliminated by applying insulation on the exterior or interior of the masonry, rather than in the cores. In addition, thermal bridging through webs can be reduced by using a lighter-weight masonry unit, by using special units with the reduced web site, or by using units that have fewer cross webs.

Horizontal joint reinforcement is often used to control shrinkage cracking in concrete masonry. Calculations have shown that the effect of the joint reinforcement on the overall R-value of the masonry wall is on the order of 1 – 3%, which has a negligible impact on the building’s energy use.

CONCRETE MASONRY CAVITY WALL

In masonry cavity walls, insulation is typically placed between the two wythes of masonry, as shown in Figure 1. This provides a continuous layer of insulation, which minimizes the effects of thermal bridging (note that some references term the space between furring or studs as a “cavity,” which differs from a masonry cavity wall).

Because the wall ties are isolated from the interior, the interior surface of the wall remains at a temperature close to the building’s interior temperature. The interior finish material is not likely to be damaged due to moisture condensation, and occupant comfort is not likely to be affected. As with horizontal joint reinforcement in single wythe construction, the type, size, and spacing of the ties will affect the potential impact on energy use.

Figure 1—Insulated Masonry Cavity Wall

MASONRY VENEER WITH STEEL STUD BACKUP

Figure 2 shows a cross section of a typical concrete masonry veneer over a steel stud backup. Steel studs act as strong thermal bridges in an insulated wall system. Almost 1,000 times more heat flows through the steel than through mineral fibre insulation of the same thickness and area. The steel stud allows heat to bypass the insulation and greatly reduces the insulation’s effectiveness.

Just as for concrete masonry webs, the thermal bridging through steel studs must be accounted for. According to ASHRAE Standard 90.1, acceptable methods to determine the R-value of insulated steel studs are testing, modified zone calculation method, or using the insulation/framing layer adjustment factors shown in Table 1. The effective framing/cavity R-value shown in Table 1 is the R-value of the insulated steel stud section, accounting for thermal bridging. Using these corrected R-values allows the designer to adequately account for the increased energy use due to the thermal bridging in these wall assemblies.

Table 1 shows that thermal bridging through steel studs effectively reduces the effective R-value of the insulation by 40 to 69 percent, depending on the size and spacing of the steel studs and on the R-value of the insulation.

Because the steel studs are typically in contact with the interior finish, local cold spots can develop at the stud locations. In some cases, moisture condenses causing dampness along these strips. The damp areas tend to retain dirt and dust, causing darker vertical lines on the interior at the steel stud locations. If warm, moist indoor air penetrates the wall, moisture is likely to condense on the outer flanges of the steel studs, increasing the potential for corrosion of studs and connectors and structural damage to the wall. Gypsum sheathing on the exterior of the studs can also be damaged due to moisture, particularly during freeze-thaw cycles. These impacts can be minimized by including a continuous layer of insulation over the steel stud/insulation layer.

Figure 2—Concrete Masonry Veneer with Steel Stud Backup

Table 1—Effective Insulation/Framing Layer R-Values for Wall Insulation Installed Between Steel Framing (ref. 1)

SLAB EDGE & PERIMETER BEAM

Another common thermal bridge is shown in Figure 3. When this wall system is insulated on the interior, as shown on the left, thermal bridging occurs at the steel beam and where the concrete floor slab penetrates the interior masonry wythe.

A better alternative is to place insulation in the cavity, as shown on the right in Figure 3, rather than on the interior. This strategy effectively isolates both the slab edge and the steel beam from the exterior, substantially reducing heat flow through these areas and condensation potential and decreasing heating loads (ref. 3).

A third alternative, not illustrated, is to install insulation on the interior of the steel beam. This solution, however, does not address the thermal loss through the slab edge. In addition, the interior insulation causes the temperature of the steel beam to be lower and can lead to condensation unless a tight and continuous vapor retarder is provided.

Figure 3—Alternative Insulation Strategies for Slab Edge and Perimeter Beam

MASONRY PARAPET

Because a parapet is exposed to the outside environment on both sides, it can act as a thermal fin, wicking heat up through the wall. Figure 4 shows two alternative insulation strategies for a masonry parapet. On the left, even though the slab edge is insulated, the parapet is not. This allows heat loss between the roof slab and the masonry backup.

A better alternative is shown on the right in Figure 4. Here, the parapet itself is insulated, maintaining a thermal boundary between the interior of the building and the outdoor environment. This significantly reduces heating and cooling loads, and virtually eliminates the potential for condensation on the underside of the roof slab.

Figure 4—Alternative Insulation Strategies for a Masonry Parapet

References

1.    Energy Standard for Buildings Except for Low-Rise Residential Buildings ASHRAE Standard 90.1. American Society of Heating, Refrigerating, and Air-Conditioning Engineers, 2004 and 2007.

2.    International Energy Conservation Code. International Code Council, 2006 and 2009.

3.    ASHRAE Handbook—HVAC Applications. American Society of Heating, Refrigerating, and Air-Conditioning Engineers, 2007.

4.    R-Values of Multi-Wythe Concrete Masonry Walls, TEK 6-1C. National Concrete Masonry Association, 2013.

5.    R-Values and U-Factors for Single Wythe Concrete Masonry Walls, TEK 6-2C. National Concrete Masonry Association, 2013.

6.    Thermal Catalog of Concrete Masonry Assemblies, TR233. National Concrete Masonry Association, 2010.

NCMA TEK 6-13B, Revised 2010.

NCMA and the companies disseminating this technical information disclaim all responsibility and liability for the accuracy and application of the information contained in this publication.

Thanks to

NCMA


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

Structural Engineer

http://civilbaselife.blogspot.com