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

STEP 0: Pre-Calculation Summary
Formula Used
Section Modulus of Steel Beam = Dead Load Moment for Unshored Member/(Tensile Steel Stress-(Live Load Moment/Section Modulus of Transformed Composite Section))
Ss = MD(unshored)/(fsteel stress-(ML/Str))
This formula uses 5 Variables
Variables Used
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.
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.
Tensile Steel Stress - (Measured in Pascal) - Tensile Steel Stress is the stress developed in steel (tensile steel).
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)
Tensile Steel Stress: 60 Newton per Square Millimeter --> 60000000 Pascal (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
Ss = MD(unshored)/(fsteel stress-(ML/Str)) --> 8.931/(60000000-(0.115/2.5E-07))
Evaluating ... ...
Ss = 1.5E-07
STEP 3: Convert Result to Output's Unit
1.5E-07 Cubic Meter -->150 Cubic Millimeter (Check conversion here)
FINAL ANSWER
150 Cubic Millimeter <-- Section Modulus of Steel Beam
(Calculation completed in 00.020 seconds)

Credits

Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
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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

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

Section Modulus of Steel Beam = Dead Load Moment for Unshored Member/(Tensile Steel Stress-(Live Load Moment/Section Modulus of Transformed Composite Section))
Ss = MD(unshored)/(fsteel stress-(ML/Str))

What is Section Modulus?

Section modulus is a geometric property for a given cross-section used in the design of beams or flexural members. Other geometric properties used in design include area for tension and shear, radius of gyration for compression, and moment of inertia and polar moment of inertia for stiffness

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 Steel Beam given Stress in Steel for Unshored Members?

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

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

FAQ

What is Section Modulus of Steel Beam given Stress in Steel for Unshored Members?
The Section Modulus of Steel Beam given Stress in Steel for Unshored Members formula is defined as the ratio of moment of inertia to the distance of extreme fiber for planar isotropic section and is represented as Ss = MD(unshored)/(fsteel stress-(ML/Str)) or 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 for Unshored Member is the moment generated due to dead load acting on unshored member, Tensile Steel Stress is the stress developed in steel (tensile steel), 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 Section Modulus of Steel Beam given Stress in Steel for Unshored Members?
The Section Modulus of Steel Beam given Stress in Steel for Unshored Members formula is defined as the ratio of moment of inertia to the distance of extreme fiber for planar isotropic section is calculated using Section Modulus of Steel Beam = Dead Load Moment for Unshored Member/(Tensile Steel Stress-(Live Load Moment/Section Modulus of Transformed Composite Section)). To calculate Section Modulus of Steel Beam given Stress in Steel for Unshored Members, you need Dead Load Moment for Unshored Member (MD(unshored)), Tensile Steel Stress (fsteel stress), Live Load Moment (ML) & Section Modulus of Transformed Composite Section (Str). With our tool, you need to enter the respective value for Dead Load Moment for Unshored Member, Tensile Steel Stress, 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.
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