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

✖Live Load Moment is the moment generated due to dead load acting to member.ⓘ Live Load Moment [M_L]			+10% -10%
✖Tensile Steel Stress is the stress developed in steel (tensile steel).ⓘ Tensile Steel Stress [f_{steel stress}]			+10% -10%
✖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%

✖Section Modulus of Transformed Composite Section is a geometric property influencing stress in steel.ⓘ Section Modulus of Transformed Composite Section given Stress in Steel for Unshored Members [S_tr]

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Section Modulus of Transformed Composite Section - (Measured in Cubic Meter) - Section Modulus of Transformed Composite Section is a geometric property influencing stress in steel.
Live Load Moment - (Measured in Newton Meter) - Live Load Moment is the moment generated due to dead load acting to member.
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.

STEP 1: Convert Input(s) to Base Unit

Live Load Moment: 115 Newton Millimeter --> 0.115 Newton Meter (Check conversion here)
Tensile Steel Stress: 60 Newton per Square Millimeter --> 60000000 Pascal (Check conversion here)
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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_tr = M_L/(f_{steel stress}-(M_D(unshored)/S_s)) --> 0.115/(60000000-(8.931/1.5E-07))

Evaluating ... ...

S_tr = 2.5E-07

STEP 3: Convert Result to Output's Unit

2.5E-07 Cubic Meter -->250 Cubic Millimeter (Check conversion here)

FINAL ANSWER

250 Cubic Millimeter <-- Section Modulus of Transformed Composite Section

(Calculation completed in 00.020 seconds)

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

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

Stress in Steel for Unshored Members

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

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

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

Stress in Steel for Shored Members

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

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

LaTeX Go

What is Section Modulus of Transformed Section?

Section Modulus of Transformed Section if defined when we use the theory of the transformed-section method is well known and generally accepted as a method of analysis of members loaded in bending. of a composite member, distorted based upon the relative strength of the materials comprising the member, which in turn is used for the analysis of that member, for finding section modulus.

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

Section Modulus of Transformed Composite Section given Stress in Steel for Unshored Members calculator uses Section Modulus of Transformed Composite Section = Live Load Moment/(Tensile Steel Stress-(Dead Load Moment for Unshored Member/Section Modulus of Steel Beam)) to calculate the Section Modulus of Transformed Composite Section, The Section Modulus of Transformed Composite Section given Stress in Steel for Unshored Members formula is defined as the ratio of moment of inertia to a distance of extreme fibre for the composite section in an unshored member. Section Modulus of Transformed Composite Section is denoted by S_tr symbol.

How to calculate Section Modulus of Transformed Composite Section given Stress in Steel for Unshored Members using this online calculator? To use this online calculator for Section Modulus of Transformed Composite Section given Stress in Steel for Unshored Members, enter Live Load Moment (M_L), Tensile Steel Stress (f_{steel stress}), Dead Load Moment for Unshored Member (M_D(unshored)) & Section Modulus of Steel Beam (S_s) and hit the calculate button. Here is how the Section Modulus of Transformed Composite Section given Stress in Steel for Unshored Members calculation can be explained with given input values -> 2.5E+11 = 0.115/(60000000-(8.931/1.5E-07)).

FAQ

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

The Section Modulus of Transformed Composite Section given Stress in Steel for Unshored Members formula is defined as the ratio of moment of inertia to a distance of extreme fibre for the composite section in an unshored member and is represented as S_tr = M_L/(f_{steel stress}-(M_D(unshored)/S_s)) or Section Modulus of Transformed Composite Section = Live Load Moment/(Tensile Steel Stress-(Dead Load Moment for Unshored Member/Section Modulus of Steel Beam)). Live Load Moment is the moment generated due to dead load acting to member, Tensile Steel Stress is the stress developed in steel (tensile steel), 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.

How to calculate Section Modulus of Transformed Composite Section given Stress in Steel for Unshored Members?

The Section Modulus of Transformed Composite Section given Stress in Steel for Unshored Members formula is defined as the ratio of moment of inertia to a distance of extreme fibre for the composite section in an unshored member is calculated using Section Modulus of Transformed Composite Section = Live Load Moment/(Tensile Steel Stress-(Dead Load Moment for Unshored Member/Section Modulus of Steel Beam)). To calculate Section Modulus of Transformed Composite Section given Stress in Steel for Unshored Members, you need Live Load Moment (M_L), Tensile Steel Stress (f_{steel stress}), Dead Load Moment for Unshored Member (M_D(unshored)) & Section Modulus of Steel Beam (S_s). With our tool, you need to enter the respective value for Live Load Moment, Tensile Steel Stress, Dead Load Moment for Unshored Member & Section Modulus of Steel 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 Section Modulus of Transformed Composite Section?

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

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

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