Stress in Steel for Unshored Members Calculator

✖Dead Load Moment for Unshored Member is the moment generated due to dead load acting on unshored member.ⓘ Dead Load Moment for Unshored Member [M_D(unshored)]			+10% -10%
✖Section Modulus of Steel Beam is a geometric property for a given cross-section used in the design of steel beams or flexural members.ⓘ Section Modulus of Steel Beam [S_s]			+10% -10%
✖Live Load Moment is the moment generated due to dead load acting to member.ⓘ Live Load Moment [M_L]			+10% -10%
✖Section Modulus of Transformed Composite Section is a geometric property influencing stress in steel.ⓘ Section Modulus of Transformed Composite Section [S_tr]			+10% -10%

✖Tensile Steel Stress is the stress developed in steel (tensile steel).ⓘ Stress in Steel for Unshored Members [f_{steel stress}]

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Formula

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Stress in Steel for Unshored Members

Formula

`"f"_{"steel stress"} = ("M"_{"D(unshored)"}/"S"_{"s"})+("M"_{"L"}/"S"_{"tr"})`

Example

`"60N/mm²"=("8931N*mm"/"150mm³")+("115N*mm"/"250mm³")`

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Download Composite Construction in Highway Bridges Formulas PDF

Stress in Steel for Unshored Members Solution

STEP 0: Pre-Calculation Summary

Formula Used

Tensile Steel Stress = (Dead Load Moment for Unshored Member/Section Modulus of Steel Beam)+(Live Load Moment/Section Modulus of Transformed Composite Section)
f_{steel stress} = (M_D(unshored)/S_s)+(M_L/S_tr)
This formula uses 5 Variables

Variables Used

Tensile Steel Stress - (Measured in Pascal) - Tensile Steel Stress is the stress developed in steel (tensile steel).
Dead Load Moment for Unshored Member - (Measured in Newton Meter) - Dead Load Moment for Unshored Member is the moment generated due to dead load acting on unshored member.
Section Modulus of Steel Beam - (Measured in Cubic Meter) - Section Modulus of Steel Beam is a geometric property for a given cross-section used in the design of steel beams or flexural members.
Live Load Moment - (Measured in Newton Meter) - Live Load Moment is the moment generated due to dead load acting to member.
Section Modulus of Transformed Composite Section - (Measured in Cubic Meter) - Section Modulus of Transformed Composite Section is a geometric property influencing stress in steel.

STEP 1: Convert Input(s) to Base Unit

Dead Load Moment for Unshored Member: 8931 Newton Millimeter --> 8.931 Newton Meter (Check conversion here)
Section Modulus of Steel Beam: 150 Cubic Millimeter --> 1.5E-07 Cubic Meter (Check conversion here)
Live Load Moment: 115 Newton Millimeter --> 0.115 Newton Meter (Check conversion here)
Section Modulus of Transformed Composite Section: 250 Cubic Millimeter --> 2.5E-07 Cubic Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f_{steel stress} = (M_D(unshored)/S_s)+(M_L/S_tr) --> (8.931/1.5E-07)+(0.115/2.5E-07)

Evaluating ... ...

f_{steel stress} = 60000000

STEP 3: Convert Result to Output's Unit

60000000 Pascal -->60 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

60 Newton per Square Millimeter <-- Tensile Steel Stress

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Bridge and Suspension Cable » Composite Construction in Highway Bridges » Bending Stresses » Stress in Steel for Unshored Members

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

Verified by M Naveen

National Institute of Technology (NIT), Warangal

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< 10+ Bending Stresses Calculators

Multiplier for Allowable Stress when Flange Bending Stress is lesser than Allowable Stress

Go Allowable Stress Multiplier = 1-((1-Ratio of Web to Flange Yield Strength)^2*(Ratio of Web to Flange Area*Distance Ratio of Flange to Depth)*(3-Distance Ratio of Flange to Depth+Distance Ratio of Flange to Depth*Ratio of Web to Flange Yield Strength))/(6+Ratio of Web to Flange Area*Distance Ratio of Flange to Depth*(3-Distance Ratio of Flange to Depth))

Section Modulus of Transformed Composite Section given Stress in Steel for Unshored Members

Go Section Modulus of Transformed Composite Section = Live Load Moment/(Tensile Steel Stress-(Dead Load Moment for Unshored Member/Section Modulus of Steel Beam))

Section Modulus of Steel Beam given Stress in Steel for Unshored Members

Go Section Modulus of Steel Beam = Dead Load Moment for Unshored Member/(Tensile Steel Stress-(Live Load Moment/Section Modulus of Transformed Composite Section))

Dead Load Moment given Stress in Steel for Unshored Members

Go Dead Load Moment for Unshored Member = Section Modulus of Steel Beam*(Tensile Steel Stress-(Live Load Moment/Section Modulus of Transformed Composite Section))

Stress in Steel for Unshored Members

Go Tensile Steel Stress = (Dead Load Moment for Unshored Member/Section Modulus of Steel Beam)+(Live Load Moment/Section Modulus of Transformed Composite Section)

Live Load Moment given Stress in Steel for Unshored Members

Go Live Load Moment = Section Modulus of Transformed Composite Section*(Tensile Steel Stress-Dead Load Moment for Unshored Member/Section Modulus of Steel Beam)

Section Modulus of Transformed Composite Section given Stress in Steel for Shored Members

Go Section Modulus of Transformed Composite Section = (Dead Load Moment for Shored Member+Live Load Moment)/Tensile Steel Stress

Dead Load Moment given Stress in Steel for Shored Members

Go Dead Load Moment for Shored Member = (Section Modulus of Transformed Composite Section*Tensile Steel Stress)-Live Load Moment

Stress in Steel for Shored Members

Go Tensile Steel Stress = (Dead Load Moment for Shored Member+Live Load Moment)/Section Modulus of Transformed Composite Section

Live Load Moment given Stress in Steel for Shored Members

Go Live Load Moment = Section Modulus of Transformed Composite Section*Tensile Steel Stress-Dead Load Moment for Shored Member

Stress in Steel for Unshored Members Formula

What is Stress in Steel?

Stress in steel is defined as the force divided by the area over which it is applied. Strain is the change in length divided by the initial length. Stress-strain curves describe the elastic and inelastic properties of materials by showing how a material like steel responds to applied force.

What are shored or unshored composite construction?

There are two distinct types of composite slab construction: shored and unshored. In unshored construction, the steel beams are not shored and are designed with enough strength and stiffness in the pre-composite phase (before the concrete hardens) to support the weight of the wet concrete and any construction loads.

How to Calculate Stress in Steel for Unshored Members?

Stress in Steel for Unshored Members calculator uses Tensile Steel Stress = (Dead Load Moment for Unshored Member/Section Modulus of Steel Beam)+(Live Load Moment/Section Modulus of Transformed Composite Section) to calculate the Tensile Steel Stress, The Stress in Steel for Unshored Members formula is defined as working stress that appears due to the application of moment. Tensile Steel Stress is denoted by f_{steel stress} symbol.

How to calculate Stress in Steel for Unshored Members using this online calculator? To use this online calculator for Stress in Steel for Unshored Members, enter Dead Load Moment for Unshored Member (M_D(unshored)), Section Modulus of Steel Beam (S_s), Live Load Moment (M_L) & Section Modulus of Transformed Composite Section (S_tr) and hit the calculate button. Here is how the Stress in Steel for Unshored Members calculation can be explained with given input values -> 6E-5 = (8.931/1.5E-07)+(0.115/2.5E-07).

FAQ

What is Stress in Steel for Unshored Members?

The Stress in Steel for Unshored Members formula is defined as working stress that appears due to the application of moment and is represented as f_{steel stress} = (M_D(unshored)/S_s)+(M_L/S_tr) or Tensile Steel Stress = (Dead Load Moment for Unshored Member/Section Modulus of Steel Beam)+(Live Load Moment/Section Modulus of Transformed Composite Section). Dead Load Moment for Unshored Member is the moment generated due to dead load acting on unshored member, Section Modulus of Steel Beam is a geometric property for a given cross-section used in the design of steel beams or flexural members, Live Load Moment is the moment generated due to dead load acting to member & Section Modulus of Transformed Composite Section is a geometric property influencing stress in steel.

How to calculate Stress in Steel for Unshored Members?

The Stress in Steel for Unshored Members formula is defined as working stress that appears due to the application of moment is calculated using Tensile Steel Stress = (Dead Load Moment for Unshored Member/Section Modulus of Steel Beam)+(Live Load Moment/Section Modulus of Transformed Composite Section). To calculate Stress in Steel for Unshored Members, you need Dead Load Moment for Unshored Member (M_D(unshored)), Section Modulus of Steel Beam (S_s), Live Load Moment (M_L) & Section Modulus of Transformed Composite Section (S_tr). With our tool, you need to enter the respective value for Dead Load Moment for Unshored Member, Section Modulus of Steel Beam, Live Load Moment & Section Modulus of Transformed Composite Section 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 Tensile Steel Stress?

In this formula, Tensile Steel Stress uses Dead Load Moment for Unshored Member, Section Modulus of Steel Beam, Live Load Moment & Section Modulus of Transformed Composite Section. We can use 1 other way(s) to calculate the same, which is/are as follows -

Tensile Steel Stress = (Dead Load Moment for Shored Member+Live Load Moment)/Section Modulus of Transformed Composite Section

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