Cross Section Width given Radial Stress in Member Formula

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Width of Cross Section defines the geometric measurement or extent of the member from side to side. Check FAQs
w=3M'b2σrRd
w - Width of Cross Section?M'b - Bending Moment for Radial Stress?σr - Radial Stress?R - Radius of Curvature at Centerline of Member?d - Depth of Cross Section?

Cross Section Width given Radial Stress in Member Example

With values
With units
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Here is how the Cross Section Width given Radial Stress in Member equation looks like with Values.

Here is how the Cross Section Width given Radial Stress in Member equation looks like with Units.

Here is how the Cross Section Width given Radial Stress in Member equation looks like.

51Edit=3800Edit21.3072Edit90Edit200Edit
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Cross Section Width given Radial Stress in Member Solution

Follow our step by step solution on how to calculate Cross Section Width given Radial Stress in Member?

FIRST Step Consider the formula
w=3M'b2σrRd
Next Step Substitute values of Variables
w=3800N*m21.3072MPa90mm200mm
Next Step Convert Units
w=3800N*m21.3E+6Pa0.09m0.2m
Next Step Prepare to Evaluate
w=380021.3E+60.090.2
Next Step Evaluate
w=0.0509999821500062m
Next Step Convert to Output's Unit
w=50.9999821500062mm
LAST Step Rounding Answer
w=51mm

Cross Section Width given Radial Stress in Member Formula Elements

Variables
Width of Cross Section
Width of Cross Section defines the geometric measurement or extent of the member from side to side.
Symbol: w
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Bending Moment for Radial Stress
Bending Moment for Radial Stress is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend.
Symbol: M'b
Measurement: Moment of ForceUnit: N*m
Note: Value should be greater than 0.
Radial Stress
The radial stress induced by a bending moment in a member of constant cross-section.
Symbol: σr
Measurement: StressUnit: MPa
Note: Value should be greater than 0.
Radius of Curvature at Centerline of Member
Radius of Curvature at Centerline of Member in mm is the radius of the circle that touches the curve at a given point.
Symbol: R
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Depth of Cross Section
Depth of Cross Section (Height), in (mm) defines the geometrical measure from head to foot or from base to top of the section considered.
Symbol: d
Measurement: LengthUnit: mm
Note: Value should be greater than 0.

Other formulas in Radial Stresses and Curvature Factor category

​Go Radial Stress Induced by Bending Moment in Member
σr=3M'b2Rwd
​Go Bending Moment given Radial Stress in Member
M'b=2σrRwd3
​Go Radius of Curvature given Radial Stress in Member
R=3M'b2σrwd
​Go Cross Section Depth given Radial Stress in Member
d=3M'b2σrRw

How to Evaluate Cross Section Width given Radial Stress in Member?

Cross Section Width given Radial Stress in Member evaluator uses Width of Cross Section = (3*Bending Moment for Radial Stress)/(2*Radial Stress*Radius of Curvature at Centerline of Member*Depth of Cross Section) to evaluate the Width of Cross Section, The Cross Section Width given Radial Stress in Member formula is defined as influenced by the parameters bending moment, radial stress, the width of cross section and depth of cross-section. Width of Cross Section is denoted by w symbol.

How to evaluate Cross Section Width given Radial Stress in Member using this online evaluator? To use this online evaluator for Cross Section Width given Radial Stress in Member, enter Bending Moment for Radial Stress (M'b), Radial Stress r), Radius of Curvature at Centerline of Member (R) & Depth of Cross Section (d) and hit the calculate button.

FAQs on Cross Section Width given Radial Stress in Member

What is the formula to find Cross Section Width given Radial Stress in Member?
The formula of Cross Section Width given Radial Stress in Member is expressed as Width of Cross Section = (3*Bending Moment for Radial Stress)/(2*Radial Stress*Radius of Curvature at Centerline of Member*Depth of Cross Section). Here is an example- 50999.98 = (3*800)/(2*1307190*0.09*0.2).
How to calculate Cross Section Width given Radial Stress in Member?
With Bending Moment for Radial Stress (M'b), Radial Stress r), Radius of Curvature at Centerline of Member (R) & Depth of Cross Section (d) we can find Cross Section Width given Radial Stress in Member using the formula - Width of Cross Section = (3*Bending Moment for Radial Stress)/(2*Radial Stress*Radius of Curvature at Centerline of Member*Depth of Cross Section).
Can the Cross Section Width given Radial Stress in Member be negative?
No, the Cross Section Width given Radial Stress in Member, measured in Length cannot be negative.
Which unit is used to measure Cross Section Width given Radial Stress in Member?
Cross Section Width given Radial Stress in Member is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Cross Section Width given Radial Stress in Member can be measured.
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