CE Calculators > Stress Transformation > Normal and Shear Stresses on Inclined Plane

Calculator for Normal and shear Stresses on Inclined Plane

Stresses on Inclined Plane

This calculator is for finding normal stress (σ) and shear stress (τ) on an inclined plane.
Sign Convention: If the outward normal to a plane is acting in the positive direction it is termed as positive face otherwise it is negative face. Normal Tensile stresses are taken as positive and normal compressive stresses are negative. Shear stress is taken as positive if it acts in the positive coordinate direction on a positive face, or it acts in negative coordinate direction on negative face. Otherwise it is negative. Angle of rotation (θ) is -ve for clock-wise rotation and +ve for anti-clockwise rotation.

By default this calculator is using the units of stress as MPa, but other units N/mm2, kN/m2, ksi, psi etc. can also be used without affecting the results.

This calculator can also be used for finding normal and shear strain on inclined plane because the equations are same in that case also, just by ignoring the units as strains are dimensionless.

Please refer to the figure and enter the required values in the form given below and then click "Calculate"

INPUT VALUES
Normal Stress σx (MPa):
Normal Stress σy (MPa):
Shear Stress τxy (MPa):
Angle of inclined plane θ (degree):
all the values are entered

OUTPUT RESULTS
Normal Stress σx1 (MPa):
Normal Stress σy1 (MPa):
Shear Stress τx1y1 (MPa):

The following Stress Transformation equations are used in this calculation

You are also welcome to send your Feedback

#### Other Calculators for plane-stress transformation

Stress Transformation Calculator
Calculate Principal Stress, Maximum shear stress and the their planes

To determine Absolute Max. B.M. due to moving loads.

Bending Moment Calculator
Calculate bending moment & shear force for simply supported beam

Moment of Inertia Calculator
Calculate moment of inertia of plane sections e.g. channel, angle, tee etc.

Shear Stress Calculator
Calculate Transverse Shear Stress for beam sections e.g. channel, angle, tee etc.

Reinforced Concrete Calculator
Calculate the Strength of Reinforced Concrete beam

Deflection & Slope Calculator
Calculate deflection and slope of simply supported beam for many load cases

Fixed Beam Calculator
Calculation tool for bending moment and shear force for Fixed Beam for many load cases

BM & SF Calculator for Cantilever
Calculate SF & BM for Cantilever

Deflection & Slope Calculator for Cantilever
For many load cases of Cantilever

Overhanging beam calculator
For SF & BM of many load cases of overhanging beam

Civil Engineering Quiz
Test your knowledge on different topics of Civil Engineering

Statically Indeterminate Structures
Definition and methods of solving

#### Solved Examples

Truss Member Forces calculation
using method of joints and method of sections

Shear force and bending moment
Illustrated solved examples to draw shear force and bending moment diagrams

Slope and deflection of beam and Truss
Illustrated solved examples to determine slope and deflection of beam and truss

Solution of indeterminate structures
slope deflection, moment distribution etc.

Reinforced concrete beam
Solved examples to determine the strength and other parameters

Calculation of bending stress in a beam
using bending equation and plotting the bending stress diagram

Skyscrapers of the world
Containing Tall building worldwide

Profile of Civil Engineers
Get to know about distinguished Civil Engineers

Professional Societies
Worldwide Civil Engineers Professional Societies