Stress in Steel Solution

STEP 0: Pre-Calculation Summary
Formula Used
Stress in Compressive Steel = Moment in Structures/(Area of Tension Reinforcement*Constant j*Depth of Beam)
f's = Mt/(A*j*DB)
This formula uses 5 Variables
Variables Used
Stress in Compressive Steel - (Measured in Megapascal) - Stress in Compressive Steel is the force of resistance per unit area in compression reinforcement.
Moment in Structures - (Measured in Newton Meter) - The Moment in Structures is an overturning effect (tends to bend or turn the member) created by the force(load) acting on a structural member.
Area of Tension Reinforcement - (Measured in Square Meter) - Area of Tension Reinforcement is the space occupied by the steel in order to impart tensile strength for the section.
Constant j - Constant j is the ratio of the distance between the centroid of compression and the centroid of tension to depth d.
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
Moment in Structures: 0.03 Newton Meter --> 0.03 Newton Meter No Conversion Required
Area of Tension Reinforcement: 10 Square Meter --> 10 Square Meter No Conversion Required
Constant j: 0.8 --> No Conversion Required
Depth of Beam: 2.7 Meter --> 2.7 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
f's = Mt/(A*j*DB) --> 0.03/(10*0.8*2.7)
Evaluating ... ...
f's = 0.00138888888888889
STEP 3: Convert Result to Output's Unit
1388.88888888889 Pascal -->0.00138888888888889 Megapascal (Check conversion here)
FINAL ANSWER
0.00138888888888889 0.001389 Megapascal <-- Stress in Compressive Steel
(Calculation completed in 00.004 seconds)

Credits

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Osmania University (OU), Hyderabad
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9 Singly Reinforced Rectangular Sections Calculators

Moment Resistance of Steel given Steel Ratio
Go Moment Resistance of Steel = Tensile Stress in Steel*Steel Ratio*Ratio of Distance between Centroids*Width of Beam*(Effective Depth of Beam)^2
Stress in Steel given Cross-Sectional Reinforcing Tensile Area to Beam Area Ratio
Go Stress in Compressive Steel = Bending Moment/(Modular Ratio for Elastic Shortening*Constant j*Width of Beam*Depth of Beam^2)
Moment Resistance of Steel given Stress and Area
Go Moment Resistance of Steel = (Tensile Stress in Steel*Area of Steel required*Ratio of Distance between Centroids*Effective Depth of Beam)
Stress in Concrete
Go Stress in Concrete = 2*Bending Moment/(Constant k*Constant j*Width of Beam*Depth of Beam^2)
Stress in Steel
Go Stress in Compressive Steel = Moment in Structures/(Area of Tension Reinforcement*Constant j*Depth of Beam)
Bending Moment given Stress in Concrete
Go Bending Moment = (Stress in Concrete*Constant k*Width of Beam*Depth of Beam^2)/2
Depth of Heavy Beams and Girders
Go Depth of Beam = (Length of Span/12)+(Length of Span/10)
Depth of Roof and Floor Slabs
Go Depth of Beam = Length of Span/25
Depth of Light Beams
Go Depth of Beam = Length of Span/15

Stress in Steel Formula

Stress in Compressive Steel = Moment in Structures/(Area of Tension Reinforcement*Constant j*Depth of Beam)
f's = Mt/(A*j*DB)

Define stress?

In physics, stress is the force acting on the unit area of a material. The effect of stress on a body is named as strain. Stress can deform the body. How much force material experience can be measured using stress units.

How to Calculate Stress in Steel?

Stress in Steel calculator uses Stress in Compressive Steel = Moment in Structures/(Area of Tension Reinforcement*Constant j*Depth of Beam) to calculate the Stress in Compressive Steel, The Stress in Steel formula is defined as the force acting on the unit area of a material. The effect of stress on a body is named as strain. Stress can deform the body. How much force material experience can be measured using stress units. Stress in Compressive Steel is denoted by f's symbol.

How to calculate Stress in Steel using this online calculator? To use this online calculator for Stress in Steel, enter Moment in Structures (Mt), Area of Tension Reinforcement (A), Constant j (j) & Depth of Beam (DB) and hit the calculate button. Here is how the Stress in Steel calculation can be explained with given input values -> 1.4E-9 = 0.03/(10*0.8*2.7).

FAQ

What is Stress in Steel?
The Stress in Steel formula is defined as the force acting on the unit area of a material. The effect of stress on a body is named as strain. Stress can deform the body. How much force material experience can be measured using stress units and is represented as f's = Mt/(A*j*DB) or Stress in Compressive Steel = Moment in Structures/(Area of Tension Reinforcement*Constant j*Depth of Beam). The Moment in Structures is an overturning effect (tends to bend or turn the member) created by the force(load) acting on a structural member, Area of Tension Reinforcement is the space occupied by the steel in order to impart tensile strength for the section, Constant j is the ratio of the distance between the centroid of compression and the centroid of tension to depth d & Depth of Beam is the overall depth of the cross-section of the beam perpendicular to the axis of the beam.
How to calculate Stress in Steel?
The Stress in Steel formula is defined as the force acting on the unit area of a material. The effect of stress on a body is named as strain. Stress can deform the body. How much force material experience can be measured using stress units is calculated using Stress in Compressive Steel = Moment in Structures/(Area of Tension Reinforcement*Constant j*Depth of Beam). To calculate Stress in Steel, you need Moment in Structures (Mt), Area of Tension Reinforcement (A), Constant j (j) & Depth of Beam (DB). With our tool, you need to enter the respective value for Moment in Structures, Area of Tension Reinforcement, Constant j & Depth of Beam and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Stress in Compressive Steel?
In this formula, Stress in Compressive Steel uses Moment in Structures, Area of Tension Reinforcement, Constant j & Depth of Beam. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Stress in Compressive Steel = Bending Moment/(Modular Ratio for Elastic Shortening*Constant j*Width of Beam*Depth of Beam^2)
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