Live Load Moment given Stress in Steel for Unshored Members Solution

STEP 0: Pre-Calculation Summary
Formula Used
Live Load Moment = Section Modulus of Transformed Composite Section*(Tensile Steel Stress-Dead Load Moment for Unshored Member/Section Modulus of Steel Beam)
ML = Str*(fsteel stress-MD(unshored)/Ss)
This formula uses 5 Variables
Variables Used
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.
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
Section Modulus of Transformed Composite Section: 250 Cubic Millimeter --> 2.5E-07 Cubic 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
ML = Str*(fsteel stress-MD(unshored)/Ss) --> 2.5E-07*(60000000-8.931/1.5E-07)
Evaluating ... ...
ML = 0.115
STEP 3: Convert Result to Output's Unit
0.115 Newton Meter -->115 Newton Millimeter (Check conversion here)
FINAL ANSWER
115 Newton Millimeter <-- Live Load Moment
(Calculation completed in 00.020 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal
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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

Live Load Moment given Stress in Steel for Unshored Members Formula

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

What is Live Load Moment?

The moment caused due Live loads (also known as applied or imposed loads, or variable actions) may vary over time and often result from the occupancy of a structure. Typical live loads may include; people, the action of wind on an elevation, furniture, vehicles, the weight of the books in a library and so on.

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 Live Load Moment given Stress in Steel for Unshored Members?

Live Load Moment given Stress in Steel for Unshored Members calculator uses Live Load Moment = Section Modulus of Transformed Composite Section*(Tensile Steel Stress-Dead Load Moment for Unshored Member/Section Modulus of Steel Beam) to calculate the Live Load Moment, The Live Load Moment given Stress in Steel for Unshored Members formula is defined as moment caused due to stress acting on steel due live loads or imposed loads. Live Load Moment is denoted by ML symbol.

How to calculate Live Load Moment given Stress in Steel for Unshored Members using this online calculator? To use this online calculator for Live Load Moment given Stress in Steel for Unshored Members, enter Section Modulus of Transformed Composite Section (Str), Tensile Steel Stress (fsteel stress), Dead Load Moment for Unshored Member (MD(unshored)) & Section Modulus of Steel Beam (Ss) and hit the calculate button. Here is how the Live Load Moment given Stress in Steel for Unshored Members calculation can be explained with given input values -> 115000 = 2.5E-07*(60000000-8.931/1.5E-07).

FAQ

What is Live Load Moment given Stress in Steel for Unshored Members?
The Live Load Moment given Stress in Steel for Unshored Members formula is defined as moment caused due to stress acting on steel due live loads or imposed loads and is represented as ML = Str*(fsteel stress-MD(unshored)/Ss) or 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 is a geometric property influencing stress in steel, 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 Live Load Moment given Stress in Steel for Unshored Members?
The Live Load Moment given Stress in Steel for Unshored Members formula is defined as moment caused due to stress acting on steel due live loads or imposed loads is calculated using Live Load Moment = Section Modulus of Transformed Composite Section*(Tensile Steel Stress-Dead Load Moment for Unshored Member/Section Modulus of Steel Beam). To calculate Live Load Moment given Stress in Steel for Unshored Members, you need Section Modulus of Transformed Composite Section (Str), Tensile Steel Stress (fsteel stress), Dead Load Moment for Unshored Member (MD(unshored)) & Section Modulus of Steel Beam (Ss). With our tool, you need to enter the respective value for Section Modulus of Transformed Composite Section, 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 Live Load Moment?
In this formula, Live Load Moment uses Section Modulus of Transformed Composite Section, 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 -
  • Live Load Moment = Section Modulus of Transformed Composite Section*Tensile Steel Stress-Dead Load Moment for Shored Member
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