Live Load Moment given Stress in Steel for Shored Members Calculator

✖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).ⓘ Tensile Steel Stress [f_{steel stress}]			+10% -10%
✖Dead Load Moment for Shored Member is the moment generated due to dead load acting to member.ⓘ Dead Load Moment for Shored Member [M_D(shored)]			+10% -10%

✖Live Load Moment is the moment generated due to dead load acting to member.ⓘ Live Load Moment given Stress in Steel for Shored Members [M_L]

⎘ Copy

👎

Formula

✖

Live Load Moment given Stress in Steel for Shored Members

Formula

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

Example

`"115N*mm"="250mm³"*"60N/mm²"-"14885N*mm"`

Calculator

LaTeX

Reset

👍

Download Composite Construction in Highway Bridges Formulas PDF

Live Load Moment given Stress in Steel for Shored 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 Shored Member
M_L = S_tr*f_{steel stress}-M_D(shored)
This formula uses 4 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 Shored Member - (Measured in Newton Meter) - Dead Load Moment for Shored Member is the moment generated due to dead load acting to member.

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 Shored Member: 14885 Newton Millimeter --> 14.885 Newton Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

M_L = S_tr*f_{steel stress}-M_D(shored) --> 2.5E-07*60000000-14.885

Evaluating ... ...

M_L = 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)

You are here -

Home » Engineering » Civil » Bridge and Suspension Cable » Composite Construction in Highway Bridges » Bending Stresses » Live Load Moment given Stress in Steel for Shored Members

Credits

Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< 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 Shored Members Formula

Live Load Moment = Section Modulus of Transformed Composite Section*Tensile Steel Stress-Dead Load Moment for Shored Member
M_L = S_tr*f_{steel stress}-M_D(shored)

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 Shored Members?

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

How to calculate Live Load Moment given Stress in Steel for Shored Members using this online calculator? To use this online calculator for Live Load Moment given Stress in Steel for Shored Members, enter Section Modulus of Transformed Composite Section (S_tr), Tensile Steel Stress (f_{steel stress}) & Dead Load Moment for Shored Member (M_D(shored)) and hit the calculate button. Here is how the Live Load Moment given Stress in Steel for Shored Members calculation can be explained with given input values -> 115000 = 2.5E-07*60000000-14.885.

FAQ

What is Live Load Moment given Stress in Steel for Shored Members?

The Live Load Moment given Stress in Steel for Shored Members formula is defined as as moment caused due to stress acting on steel due live loads or imposed loads and is represented as M_L = S_tr*f_{steel stress}-M_D(shored) or Live Load Moment = Section Modulus of Transformed Composite Section*Tensile Steel Stress-Dead Load Moment for Shored Member. 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 Shored Member is the moment generated due to dead load acting to member.

How to calculate Live Load Moment given Stress in Steel for Shored Members?

The Live Load Moment given Stress in Steel for Shored Members formula is defined as 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 Shored Member. To calculate Live Load Moment given Stress in Steel for Shored Members, you need Section Modulus of Transformed Composite Section (S_tr), Tensile Steel Stress (f_{steel stress}) & Dead Load Moment for Shored Member (M_D(shored)). With our tool, you need to enter the respective value for Section Modulus of Transformed Composite Section, Tensile Steel Stress & Dead Load Moment for Shored Member 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 Shored Member. 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 Unshored Member/Section Modulus of Steel Beam)

Home

FREE PDFs

🔍 Search