Dead Load Moment given Stress in Steel for Unshored Members Calculator

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

✖Dead Load Moment for Unshored Member is the moment generated due to dead load acting on unshored member.ⓘ Dead Load Moment given Stress in Steel for Unshored Members [M_D(unshored)]

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Formula

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Dead Load Moment given Stress in Steel for Unshored Members

Formula

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

Example

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

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Dead Load Moment given Stress in Steel for Unshored Members Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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

Section Modulus of Steel Beam: 150 Cubic Millimeter --> 1.5E-07 Cubic 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

M_D(unshored) = S_s*(f_{steel stress}-(M_L/S_tr)) --> 1.5E-07*(60000000-(0.115/2.5E-07))

Evaluating ... ...

M_D(unshored) = 8.931

STEP 3: Convert Result to Output's Unit

8.931 Newton Meter -->8931 Newton Millimeter (Check conversion here)

FINAL ANSWER

8931 Newton Millimeter <-- Dead Load Moment for Unshored Member

(Calculation completed in 00.004 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

Dead Load Moment given Stress in Steel for Unshored Members Formula

What is Dead Load Moment?

Dead Load Moment is defined as the moment which is caused due to dead loads acting and which is defined as the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend. The most common or simplest structural element subjected to bending moments is the beam

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 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 Dead Load Moment given Stress in Steel for Unshored Members?

Dead Load Moment given Stress in Steel for Unshored Members calculator uses Dead Load Moment for Unshored Member = Section Modulus of Steel Beam*(Tensile Steel Stress-(Live Load Moment/Section Modulus of Transformed Composite Section)) to calculate the Dead Load Moment for Unshored Member, The Dead Load Moment given Stress in Steel for Unshored Members is defined as moments caused due to stress in steel occurred due superimposition of dead load on member. Dead Load Moment for Unshored Member is denoted by M_D(unshored) symbol.

How to calculate Dead Load Moment given Stress in Steel for Unshored Members using this online calculator? To use this online calculator for Dead Load Moment given Stress in Steel for Unshored Members, enter Section Modulus of Steel Beam (S_s), Tensile Steel Stress (f_{steel stress}), Live Load Moment (M_L) & Section Modulus of Transformed Composite Section (S_tr) and hit the calculate button. Here is how the Dead Load Moment given Stress in Steel for Unshored Members calculation can be explained with given input values -> 8.9E+6 = 1.5E-07*(60000000-(0.115/2.5E-07)).

FAQ

What is Dead Load Moment given Stress in Steel for Unshored Members?

The Dead Load Moment given Stress in Steel for Unshored Members is defined as moments caused due to stress in steel occurred due superimposition of dead load on member and is represented as M_D(unshored) = S_s*(f_{steel stress}-(M_L/S_tr)) or Dead Load Moment for Unshored Member = Section Modulus of Steel Beam*(Tensile Steel Stress-(Live Load Moment/Section Modulus of Transformed Composite Section)). Section Modulus of Steel Beam is a geometric property for a given cross-section used in the design of steel beams or flexural members, 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 Dead Load Moment given Stress in Steel for Unshored Members?

The Dead Load Moment given Stress in Steel for Unshored Members is defined as moments caused due to stress in steel occurred due superimposition of dead load on member is calculated using Dead Load Moment for Unshored Member = Section Modulus of Steel Beam*(Tensile Steel Stress-(Live Load Moment/Section Modulus of Transformed Composite Section)). To calculate Dead Load Moment given Stress in Steel for Unshored Members, you need Section Modulus of Steel Beam (S_s), Tensile Steel Stress (f_{steel stress}), Live Load Moment (M_L) & Section Modulus of Transformed Composite Section (S_tr). With our tool, you need to enter the respective value for Section Modulus of Steel Beam, 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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