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Bending Moment given Stress in Concrete Calculator

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✖Stress in Concrete is the force per unit area of the concrete section considered.ⓘ Stress in Concrete [f_concrete]			+10% -10%
✖Constant k is the ratio of the depth of compression area to depth d.ⓘ Constant k [K]			+10% -10%
✖Width of Beam is the horizontal measurement taken perpendicular to the length of beam.ⓘ Width of Beam [W_b]			+10% -10%
✖Depth of Beam is the overall depth of the cross-section of the beam perpendicular to the axis of the beam.ⓘ Depth of Beam [D_B]			+10% -10%

✖The Bending Moment is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend.ⓘ Bending Moment given Stress in Concrete [Mb_R]

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Bending Moment given Stress in Concrete Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bending Moment = (Stress in Concrete*Constant k*Width of Beam*Depth of Beam^2)/2
Mb_R = (f_concrete*K*W_b*D_B^2)/2
This formula uses 5 Variables

Variables Used

Bending Moment - (Measured in Newton Meter) - The Bending Moment is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend.
Stress in Concrete - (Measured in Megapascal) - Stress in Concrete is the force per unit area of the concrete section considered.
Constant k - Constant k is the ratio of the depth of compression area to depth d.
Width of Beam - (Measured in Meter) - Width of Beam is the horizontal measurement taken perpendicular to the length of beam.
Depth of Beam - (Measured in Meter) - Depth of Beam is the overall depth of the cross-section of the beam perpendicular to the axis of the beam.

STEP 1: Convert Input(s) to Base Unit

Stress in Concrete: 1553 Megapascal --> 1553 Megapascal No Conversion Required
Constant k: 0.65 --> No Conversion Required
Width of Beam: 18 Millimeter --> 0.018 Meter (Check conversion here)
Depth of Beam: 2.7 Meter --> 2.7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Mb_R = (f_concrete*K*W_b*D_B^2)/2 --> (1553*0.65*0.018*2.7^2)/2

Evaluating ... ...

Mb_R = 66.2300145

STEP 3: Convert Result to Output's Unit

66.2300145 Newton Meter --> No Conversion Required

FINAL ANSWER

66.2300145 ≈ 66.23001 Newton Meter <-- Bending Moment

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Structural Engineering » Concrete Structures » Behaviour in Flexure » Analysis Using Working Stress Method » Singly Reinforced Sections » Singly Reinforced Rectangular Sections » Bending Moment given Stress in Concrete

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< Singly Reinforced Rectangular Sections Calculators

Stress in Steel given Cross-Sectional Reinforcing Tensile Area to Beam Area Ratio

LaTeX Go Stress in Compressive Steel = Bending Moment/(Modular Ratio for Elastic Shortening*Constant j*Width of Beam*Depth of Beam^2)

Stress in Concrete

LaTeX Go Stress in Concrete = 2*Bending Moment/(Constant k*Constant j*Width of Beam*Depth of Beam^2)

Stress in Steel

LaTeX Go Stress in Compressive Steel = Moment in Structures/(Area of Tension Reinforcement*Constant j*Depth of Beam)

Bending Moment given Stress in Concrete

LaTeX Go Bending Moment = (Stress in Concrete*Constant k*Width of Beam*Depth of Beam^2)/2

Bending Moment given Stress in Concrete Formula

LaTeX Go

Bending Moment = (Stress in Concrete*Constant k*Width of Beam*Depth of Beam^2)/2
Mb_R = (f_concrete*K*W_b*D_B^2)/2

Define Bending Moment?

In solid mechanics, a bending moment is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend. The most common or simplest structural element subjected to bending moments is the beam.t.

How to Calculate Bending Moment given Stress in Concrete?

Bending Moment given Stress in Concrete calculator uses Bending Moment = (Stress in Concrete*Constant k*Width of Beam*Depth of Beam^2)/2 to calculate the Bending Moment, The Bending Moment given Stress in Concrete formula is defined as the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend. Bending Moment is denoted by Mb_R symbol.

How to calculate Bending Moment given Stress in Concrete using this online calculator? To use this online calculator for Bending Moment given Stress in Concrete, enter Stress in Concrete (f_concrete), Constant k (K), Width of Beam (W_b) & Depth of Beam (D_B) and hit the calculate button. Here is how the Bending Moment given Stress in Concrete calculation can be explained with given input values -> 0.06397 = (1553000000*0.65*0.018*2.7^2)/2.

FAQ

What is Bending Moment given Stress in Concrete?

The Bending Moment given Stress in Concrete formula is defined as the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend and is represented as Mb_R = (f_concrete*K*W_b*D_B^2)/2 or Bending Moment = (Stress in Concrete*Constant k*Width of Beam*Depth of Beam^2)/2. Stress in Concrete is the force per unit area of the concrete section considered, Constant k is the ratio of the depth of compression area to depth d, Width of Beam is the horizontal measurement taken perpendicular to the length of beam & Depth of Beam is the overall depth of the cross-section of the beam perpendicular to the axis of the beam.

How to calculate Bending Moment given Stress in Concrete?

The Bending Moment given Stress in Concrete formula is defined as the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend is calculated using Bending Moment = (Stress in Concrete*Constant k*Width of Beam*Depth of Beam^2)/2. To calculate Bending Moment given Stress in Concrete, you need Stress in Concrete (f_concrete), Constant k (K), Width of Beam (W_b) & Depth of Beam (D_B). With our tool, you need to enter the respective value for Stress in Concrete, Constant k, Width of Beam & Depth of Beam 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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