Loaded Area given Design Strength of Concrete for Direct Bearing Calculator

✖The Nominal Load for design should be according to the applicable code or specification under which the structure is designed or as dictated by the conditions involved.ⓘ Nominal Load [P_n]			+10% -10%
✖Strength Reduction Factor is the ratio of elastic strength to yield strength.ⓘ Strength Reduction Factor [ϕ_c]			+10% -10%
✖The Maximum Compressive Stress of Concrete is the maximum stress that, under a gradually applied load, a given solid material can sustain without fracture.ⓘ Maximum Compressive Stress of Concrete [f'_c]			+10% -10%

✖Loaded Area is the area of column where load is acting.ⓘ Loaded Area given Design Strength of Concrete for Direct Bearing [A _b]

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Formula

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Loaded Area given Design Strength of Concrete for Direct Bearing

Formula

`"A "_{"b"} = "P"_{"n"}/(1.7*"ϕ"_{"c"}*"f'"_{"c"})`

Example

`"10.8331mm²"="3000.01N"/(1.7*"0.6"*"271.5MPa")`

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Loaded Area given Design Strength of Concrete for Direct Bearing Solution

STEP 0: Pre-Calculation Summary

Formula Used

Loaded Area = Nominal Load/(1.7*Strength Reduction Factor*Maximum Compressive Stress of Concrete)
A _b = P_n/(1.7*ϕ_c*f'_c)
This formula uses 4 Variables

Variables Used

Loaded Area - (Measured in Square Millimeter) - Loaded Area is the area of column where load is acting.
Nominal Load - (Measured in Newton) - The Nominal Load for design should be according to the applicable code or specification under which the structure is designed or as dictated by the conditions involved.
Strength Reduction Factor - Strength Reduction Factor is the ratio of elastic strength to yield strength.
Maximum Compressive Stress of Concrete - (Measured in Megapascal) - The Maximum Compressive Stress of Concrete is the maximum stress that, under a gradually applied load, a given solid material can sustain without fracture.

STEP 1: Convert Input(s) to Base Unit

Nominal Load: 3000.01 Newton --> 3000.01 Newton No Conversion Required
Strength Reduction Factor: 0.6 --> No Conversion Required
Maximum Compressive Stress of Concrete: 271.5 Megapascal --> 271.5 Megapascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A _b = P_n/(1.7*ϕ_c*f'_c) --> 3000.01/(1.7*0.6*271.5)

Evaluating ... ...

A _b = 10.833098616979

STEP 3: Convert Result to Output's Unit

1.0833098616979E-05 Square Meter -->10.833098616979 Square Millimeter (Check conversion here)

FINAL ANSWER

10.833098616979 ≈ 10.8331 Square Millimeter <-- Loaded Area

(Calculation completed in 00.004 seconds)

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Don Bosco College of Engineering (DBCE), Goa

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< 4 Composite Columns Calculators

Loaded Area given Design Strength of Concrete for Direct Bearing

Go Loaded Area = Nominal Load/(1.7*Strength Reduction Factor*Maximum Compressive Stress of Concrete)

Design Strength of Concrete for Direct Bearing

Go Nominal Load = 1.7*Strength Reduction Factor*Loaded Area*Maximum Compressive Stress of Concrete

Gross Area of Steel Core given Design Strength of Axially Loaded Composite Column

Go Gross Area of Steel Core = Nominal Load*Resistance Factor/(0.85*Critical Compressive Stress)

Design Strength of Axially Loaded Composite Column

Go Nominal Load = 0.85*Gross Area of Steel Core*Critical Compressive Stress/Resistance Factor

Loaded Area given Design Strength of Concrete for Direct Bearing Formula

Loaded Area = Nominal Load/(1.7*Strength Reduction Factor*Maximum Compressive Stress of Concrete)
A _b = P_n/(1.7*ϕ_c*f'_c)

What is Loaded Area?

Loaded Area is the area of the structural member where load is applied. Structural loads or actions are forces, deformations, or accelerations applied to structure components. Loads cause stresses, deformations, and displacements in structures.

Define Design Strength?

The load-bearing capacity of a member is computed on the basis of the allowable stresses which are assumed in design. The assumed values for the strength of concrete, and the yield stress of steel on which the ultimate theoretical strength of a section is computed.

How to Calculate Loaded Area given Design Strength of Concrete for Direct Bearing?

Loaded Area given Design Strength of Concrete for Direct Bearing calculator uses Loaded Area = Nominal Load/(1.7*Strength Reduction Factor*Maximum Compressive Stress of Concrete) to calculate the Loaded Area, The Loaded Area given Design Strength of Concrete for Direct Bearing formula is defined as a function of the strength reduction factor for concrete, which is equal to 0.65, the maximum compressive stress for concrete and design strength. Loaded Area is denoted by A _b symbol.

How to calculate Loaded Area given Design Strength of Concrete for Direct Bearing using this online calculator? To use this online calculator for Loaded Area given Design Strength of Concrete for Direct Bearing, enter Nominal Load (P_n), Strength Reduction Factor (ϕ_c) & Maximum Compressive Stress of Concrete (f'_c) and hit the calculate button. Here is how the Loaded Area given Design Strength of Concrete for Direct Bearing calculation can be explained with given input values -> 1.1E+7 = 3000.01/(1.7*0.6*271500000).

FAQ

What is Loaded Area given Design Strength of Concrete for Direct Bearing?

The Loaded Area given Design Strength of Concrete for Direct Bearing formula is defined as a function of the strength reduction factor for concrete, which is equal to 0.65, the maximum compressive stress for concrete and design strength and is represented as A _b = P_n/(1.7*ϕ_c*f'_c) or Loaded Area = Nominal Load/(1.7*Strength Reduction Factor*Maximum Compressive Stress of Concrete). The Nominal Load for design should be according to the applicable code or specification under which the structure is designed or as dictated by the conditions involved, Strength Reduction Factor is the ratio of elastic strength to yield strength & The Maximum Compressive Stress of Concrete is the maximum stress that, under a gradually applied load, a given solid material can sustain without fracture.

How to calculate Loaded Area given Design Strength of Concrete for Direct Bearing?

The Loaded Area given Design Strength of Concrete for Direct Bearing formula is defined as a function of the strength reduction factor for concrete, which is equal to 0.65, the maximum compressive stress for concrete and design strength is calculated using Loaded Area = Nominal Load/(1.7*Strength Reduction Factor*Maximum Compressive Stress of Concrete). To calculate Loaded Area given Design Strength of Concrete for Direct Bearing, you need Nominal Load (P_n), Strength Reduction Factor (ϕ_c) & Maximum Compressive Stress of Concrete (f'_c). With our tool, you need to enter the respective value for Nominal Load, Strength Reduction Factor & Maximum Compressive Stress of Concrete and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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