Distance from YY axis to stress point given Maximum Stress in Unsymmetrical Bending Calculator

✖Maximum Stress is defined as force per unit area that the force acts upon.ⓘ Maximum Stress [f_Max]			+10% -10%
✖Bending Moment about X-Axis is defined as the bending moment about principal axis XX.ⓘ Bending Moment about X-Axis [M_x]			+10% -10%
✖Distance from Point to XX Axis is the distance of the point to XX axis where stress is to be computed.ⓘ Distance from Point to XX Axis [y]			+10% -10%
✖Moment of Inertia about X-Axis is defined as the moment of inertia of cross-section about XX.ⓘ Moment of Inertia about X-Axis [I_x]			+10% -10%
✖Moment of Inertia about Y-Axis is defined as the moment of inertia of cross-section about YY.ⓘ Moment of Inertia about Y-Axis [I_y]			+10% -10%
✖Bending Moment about Y-Axis is defined as the bending moment about principal axis YY.ⓘ Bending Moment about Y-Axis [M_y]			+10% -10%

✖Distance from Point to YY Axis is the distance from the point to the YY axis where stress is to be computed.ⓘ Distance from YY axis to stress point given Maximum Stress in Unsymmetrical Bending [x]

⎘ Copy

👎

Formula

✖

Distance from YY axis to stress point given Maximum Stress in Unsymmetrical Bending

Formula

`"x" = ("f"_{"Max"}-(("M"_{"x"}*"y")/"I"_{"x"}))*"I"_{"y"}/"M"_{"y"}`

Example

`"103.912mm"=("1430N/m²"-(("239N*m"*"169mm")/"51kg·m²"))*"50kg·m²"/"307N*m"`

Calculator

LaTeX

Reset

👍

Download Unsymmetrical Bending and Three Hinged Arches Formulas PDF

Distance from YY axis to stress point given Maximum Stress in Unsymmetrical Bending Solution

STEP 0: Pre-Calculation Summary

Formula Used

Distance from Point to YY Axis = (Maximum Stress-((Bending Moment about X-Axis*Distance from Point to XX Axis)/Moment of Inertia about X-Axis))*Moment of Inertia about Y-Axis/Bending Moment about Y-Axis
x = (f_Max-((M_x*y)/I_x))*I_y/M_y
This formula uses 7 Variables

Variables Used

Distance from Point to YY Axis - (Measured in Millimeter) - Distance from Point to YY Axis is the distance from the point to the YY axis where stress is to be computed.
Maximum Stress - (Measured in Newton per Square Meter) - Maximum Stress is defined as force per unit area that the force acts upon.
Bending Moment about X-Axis - (Measured in Newton Meter) - Bending Moment about X-Axis is defined as the bending moment about principal axis XX.
Distance from Point to XX Axis - (Measured in Millimeter) - Distance from Point to XX Axis is the distance of the point to XX axis where stress is to be computed.
Moment of Inertia about X-Axis - (Measured in Kilogram Square Meter) - Moment of Inertia about X-Axis is defined as the moment of inertia of cross-section about XX.
Moment of Inertia about Y-Axis - (Measured in Kilogram Square Meter) - Moment of Inertia about Y-Axis is defined as the moment of inertia of cross-section about YY.
Bending Moment about Y-Axis - (Measured in Newton Meter) - Bending Moment about Y-Axis is defined as the bending moment about principal axis YY.

STEP 1: Convert Input(s) to Base Unit

Maximum Stress: 1430 Newton per Square Meter --> 1430 Newton per Square Meter No Conversion Required
Bending Moment about X-Axis: 239 Newton Meter --> 239 Newton Meter No Conversion Required
Distance from Point to XX Axis: 169 Millimeter --> 169 Millimeter No Conversion Required
Moment of Inertia about X-Axis: 51 Kilogram Square Meter --> 51 Kilogram Square Meter No Conversion Required
Moment of Inertia about Y-Axis: 50 Kilogram Square Meter --> 50 Kilogram Square Meter No Conversion Required
Bending Moment about Y-Axis: 307 Newton Meter --> 307 Newton Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

x = (f_Max-((M_x*y)/I_x))*I_y/M_y --> (1430-((239*169)/51))*50/307

Evaluating ... ...

x = 103.911988248068

STEP 3: Convert Result to Output's Unit

0.103911988248068 Meter -->103.911988248068 Millimeter (Check conversion here)

FINAL ANSWER

103.911988248068 ≈ 103.912 Millimeter <-- Distance from Point to YY Axis

(Calculation completed in 00.035 seconds)

You are here -

Home » Engineering » Civil » Structural Engineering » Structural Analysis » Miscellaneous Topics » Unsymmetrical Bending and Three Hinged Arches » Unsymmetrical Bending » Distance from YY axis to stress point given Maximum Stress in Unsymmetrical Bending

Credits

Created by Kethavath Srinath

Osmania University (OU), Hyderabad

Kethavath Srinath has created this Calculator and 1000+ more calculators!

Verified by Alithea Fernandes

Don Bosco College of Engineering (DBCE), Goa

Alithea Fernandes has verified this Calculator and 100+ more calculators!

< 7 Unsymmetrical Bending Calculators

Moment of Inertia about XX given Maximum Stress in Unsymmetrical Bending

Go Moment of Inertia about X-Axis = (Bending Moment about X-Axis*Distance from Point to XX Axis)/(Maximum Stress-((Bending Moment about Y-Axis*Distance from Point to YY Axis)/(Moment of Inertia about Y-Axis)))

Moment of Inertia about YY given Maximum Stress in Unsymmetrical Bending

Go Moment of Inertia about Y-Axis = (Bending Moment about Y-Axis*Distance from Point to YY Axis)/(Maximum Stress-((Bending Moment about X-Axis*Distance from Point to XX Axis)/(Moment of Inertia about X-Axis)))

Bending Moment about Axis XX given Maximum Stress in Unsymmetrical Bending

Go Bending Moment about X-Axis = (Maximum Stress-((Bending Moment about Y-Axis*Distance from Point to YY Axis)/Moment of Inertia about Y-Axis))*Moment of Inertia about X-Axis/(Distance from Point to XX Axis)

Bending Moment about Axis YY given Maximum Stress in Unsymmetrical Bending

Go Bending Moment about Y-Axis = (Maximum Stress-((Bending Moment about X-Axis*Distance from Point to XX Axis)/Moment of Inertia about X-Axis))*Moment of Inertia about Y-Axis/(Distance from Point to YY Axis)

Maximum Stress in Unsymmetrical Bending

Go Maximum Stress = ((Bending Moment about X-Axis*Distance from Point to XX Axis)/Moment of Inertia about X-Axis)+((Bending Moment about Y-Axis*Distance from Point to YY Axis)/Moment of Inertia about Y-Axis)

Distance from YY axis to stress point given Maximum Stress in Unsymmetrical Bending

Go Distance from Point to YY Axis = (Maximum Stress-((Bending Moment about X-Axis*Distance from Point to XX Axis)/Moment of Inertia about X-Axis))*Moment of Inertia about Y-Axis/Bending Moment about Y-Axis

Distance from Point to XX Axis given Maximum Stress in Unsymmetrical Bending

Go Distance from Point to XX Axis = (Maximum Stress-((Bending Moment about Y-Axis*Distance from Point to YY Axis)/Moment of Inertia about Y-Axis))*Moment of Inertia about X-Axis/Bending Moment about X-Axis

Distance from YY axis to stress point given Maximum Stress in Unsymmetrical Bending Formula

Define Maximum Stress

Stress is defined as force per unit area that the force acts upon. Thus, Stresses are either tensile or compressive. The maximum stress that the specimen can withstand is called the ultimate strength of that particular material.

How to Calculate Distance from YY axis to stress point given Maximum Stress in Unsymmetrical Bending?

Distance from YY axis to stress point given Maximum Stress in Unsymmetrical Bending calculator uses Distance from Point to YY Axis = (Maximum Stress-((Bending Moment about X-Axis*Distance from Point to XX Axis)/Moment of Inertia about X-Axis))*Moment of Inertia about Y-Axis/Bending Moment about Y-Axis to calculate the Distance from Point to YY Axis, Distance from YY axis to stress point given Maximum Stress in Unsymmetrical Bending formula is defined as the distance from the point where stress is to be computed to YY axis. Distance from Point to YY Axis is denoted by x symbol.

How to calculate Distance from YY axis to stress point given Maximum Stress in Unsymmetrical Bending using this online calculator? To use this online calculator for Distance from YY axis to stress point given Maximum Stress in Unsymmetrical Bending, enter Maximum Stress (f_Max), Bending Moment about X-Axis (M_x), Distance from Point to XX Axis (y), Moment of Inertia about X-Axis (I_x), Moment of Inertia about Y-Axis (I_y) & Bending Moment about Y-Axis (M_y) and hit the calculate button. Here is how the Distance from YY axis to stress point given Maximum Stress in Unsymmetrical Bending calculation can be explained with given input values -> -128742.734879 = (1430-((239*0.169)/51))*50/307.

FAQ

What is Distance from YY axis to stress point given Maximum Stress in Unsymmetrical Bending?

Distance from YY axis to stress point given Maximum Stress in Unsymmetrical Bending formula is defined as the distance from the point where stress is to be computed to YY axis and is represented as x = (f_Max-((M_x*y)/I_x))*I_y/M_y or Distance from Point to YY Axis = (Maximum Stress-((Bending Moment about X-Axis*Distance from Point to XX Axis)/Moment of Inertia about X-Axis))*Moment of Inertia about Y-Axis/Bending Moment about Y-Axis. Maximum Stress is defined as force per unit area that the force acts upon, Bending Moment about X-Axis is defined as the bending moment about principal axis XX, Distance from Point to XX Axis is the distance of the point to XX axis where stress is to be computed, Moment of Inertia about X-Axis is defined as the moment of inertia of cross-section about XX, Moment of Inertia about Y-Axis is defined as the moment of inertia of cross-section about YY & Bending Moment about Y-Axis is defined as the bending moment about principal axis YY.

How to calculate Distance from YY axis to stress point given Maximum Stress in Unsymmetrical Bending?

Distance from YY axis to stress point given Maximum Stress in Unsymmetrical Bending formula is defined as the distance from the point where stress is to be computed to YY axis is calculated using Distance from Point to YY Axis = (Maximum Stress-((Bending Moment about X-Axis*Distance from Point to XX Axis)/Moment of Inertia about X-Axis))*Moment of Inertia about Y-Axis/Bending Moment about Y-Axis. To calculate Distance from YY axis to stress point given Maximum Stress in Unsymmetrical Bending, you need Maximum Stress (f_Max), Bending Moment about X-Axis (M_x), Distance from Point to XX Axis (y), Moment of Inertia about X-Axis (I_x), Moment of Inertia about Y-Axis (I_y) & Bending Moment about Y-Axis (M_y). With our tool, you need to enter the respective value for Maximum Stress, Bending Moment about X-Axis, Distance from Point to XX Axis, Moment of Inertia about X-Axis, Moment of Inertia about Y-Axis & Bending Moment about Y-Axis and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search