Bending Moment given Total Cross-Sectional Area of Tensile Reinforcing Calculator

✖Cross-Sectional Area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.ⓘ Cross-Sectional Area [A_cs]			+10% -10%
✖Reinforcement Stress as force per unit area that the force acts upon.ⓘ Reinforcement Stress [f_s]			+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 Total Cross-Sectional Area of Tensile Reinforcing [Mb_R]

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Formula

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Bending Moment given Total Cross-Sectional Area of Tensile Reinforcing

Formula

`"Mb"_{"R"} = "A"_{"cs"}*7*"f"_{"s"}*"D"_{"B"}/8`

Example

`"52.21125N*m"="13m²"*7*"1.7Pa"*"2.7m"/8`

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Bending Moment given Total Cross-Sectional Area of Tensile Reinforcing Solution

STEP 0: Pre-Calculation Summary

Formula Used

Bending Moment = Cross-Sectional Area*7*Reinforcement Stress*Depth of Beam/8
Mb_R = A_cs*7*f_s*D_B/8
This formula uses 4 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.
Cross-Sectional Area - (Measured in Square Meter) - Cross-Sectional Area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.
Reinforcement Stress - (Measured in Pascal) - Reinforcement Stress as force per unit area that the force acts upon.
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

Cross-Sectional Area: 13 Square Meter --> 13 Square Meter No Conversion Required
Reinforcement Stress: 1.7 Pascal --> 1.7 Pascal No Conversion Required
Depth of Beam: 2.7 Meter --> 2.7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Mb_R = A_cs*7*f_s*D_B/8 --> 13*7*1.7*2.7/8

Evaluating ... ...

Mb_R = 52.21125

STEP 3: Convert Result to Output's Unit

52.21125 Newton Meter --> No Conversion Required

FINAL ANSWER

52.21125 Newton Meter <-- Bending Moment

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Structural Engineering » Concrete Structures » Behaviour in Flexure » Design of Beam and Slab » Doubly Reinforced Rectangular Sections » Bending Moment given Total Cross-Sectional Area of Tensile Reinforcing

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has created this Calculator and 1000+ more calculators!

Verified by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

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< 3 Doubly Reinforced Rectangular Sections Calculators

Cross-Sectional Area of Compressive Reinforcing

Go Area of Compression Reinforcement = (Bending Moment of Considered Section-Bending Moment of Singly reinforced Beam)/(Modular Ratio*Extreme Compressive Stress of Concrete*Effective Depth of Beam)

Total Cross-Sectional Area of Tensile Reinforcing

Go Cross-Sectional Area = 8*Bending Moment/(7*Reinforcement Stress*Depth of Beam)

Bending Moment given Total Cross-Sectional Area of Tensile Reinforcing

Go Bending Moment = Cross-Sectional Area*7*Reinforcement Stress*Depth of Beam/8

Bending Moment given Total Cross-Sectional Area of Tensile Reinforcing Formula

Bending Moment = Cross-Sectional Area*7*Reinforcement Stress*Depth of Beam/8
Mb_R = A_cs*7*f_s*D_B/8

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.

How to Calculate Bending Moment given Total Cross-Sectional Area of Tensile Reinforcing?

Bending Moment given Total Cross-Sectional Area of Tensile Reinforcing calculator uses Bending Moment = Cross-Sectional Area*7*Reinforcement Stress*Depth of Beam/8 to calculate the Bending Moment, The Bending Moment given Total Cross-Sectional Area of Tensile Reinforcing 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 Total Cross-Sectional Area of Tensile Reinforcing using this online calculator? To use this online calculator for Bending Moment given Total Cross-Sectional Area of Tensile Reinforcing, enter Cross-Sectional Area (A_cs), Reinforcement Stress (f_s) & Depth of Beam (D_B) and hit the calculate button. Here is how the Bending Moment given Total Cross-Sectional Area of Tensile Reinforcing calculation can be explained with given input values -> 52.21125 = 13*7*1.7*2.7/8.

FAQ

What is Bending Moment given Total Cross-Sectional Area of Tensile Reinforcing?

The Bending Moment given Total Cross-Sectional Area of Tensile Reinforcing 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 = A_cs*7*f_s*D_B/8 or Bending Moment = Cross-Sectional Area*7*Reinforcement Stress*Depth of Beam/8. Cross-Sectional Area is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point, Reinforcement Stress as force per unit area that the force acts upon & 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 Total Cross-Sectional Area of Tensile Reinforcing?

The Bending Moment given Total Cross-Sectional Area of Tensile Reinforcing 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 = Cross-Sectional Area*7*Reinforcement Stress*Depth of Beam/8. To calculate Bending Moment given Total Cross-Sectional Area of Tensile Reinforcing, you need Cross-Sectional Area (A_cs), Reinforcement Stress (f_s) & Depth of Beam (D_B). With our tool, you need to enter the respective value for Cross-Sectional Area, Reinforcement Stress & 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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