Calculate beam buckling load for triangle beams.
Equilateral triangles have three equal sides, and three equal angles. Isoceles triangles have two equal sides, and two equal angles. Scalene triangles have three unequal sides and three unequal angles. For hollow sections, the wall thickness is assumed constant on all sides.
Beam end types include: free fixed (cantilever), guided fixed, pinned fixed, fixed fixed (built in or fixed), pinned pinned (simply supported), and guided pinned beam ends. The beam end conditions are of the form left end - right end (for example Pin-Fix is left end pinned and right end fixed).
The buckling load can be calculated using either the Euler equation (suitable for long beams), the Johnson equation (suitable for short beams), or the buckling load equation can be determined from the transition length. The buckling load is positive. The axial load is negative in compression. Buckling will generally occur about the axis with the lowest EI, depending on constraints.
The effective length factor should be used for beams on a soft foundation such as soil, where the beam ends are poorly defined. For defined beam ends, such as structures, the effective length factor should be set to one (fe = 1).
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CALCULATOR : Beam Cross Section Properties (Equilateral Triangle Beam) [FREE] ±
Calculate equilateral triangle beam cross section properties for solid and hollow beams. Equilateral triangles have three equal sides, and three equal angles (60 degrees). For hollow triangles, the wall thickness is assumed to be equal on all three sides. Refer to the figure for more details. Tool Input- modptype : Material Type
- αu : User Defined Thermal Expansion Coefficient
- Eu : User Defined Elastic Modulus
- Gu : User Defined Shear Modulus
- ρpu : User Defined Density
- axstype : Cross Section Area Type
- mltype : Unit Mass And Unit Weight Type
- mmtype : Added Mass Type (Submerged Beams Only)
- Cmu : User Defined Added Mass Coefficient
- axistype : Bending Axis Type
- a : Beam Width
- ta : Wall Thickness
- L : Length
- ρc : Contents Fluid Density
- ρd : Displaced Fluid Density
Tool Output- α : Thermal Expansion Coefficient
- ρb : Beam Density
- Ac : Contents Cross Section Area
- Ad : Displaced Cross Section Area
- Ax : Beam Cross Section Area
- Cm : Added Mass Coefficient
- E : Elastic Modulus
- EA : E x A
- EAα : E x A x alpha
- EI : E x I
- G : Shear Modulus
- I : Moment Of Inertia
- Ip : Polar Moment Of Inertia
- J : Mass Moment Of Inertia
- L/r : Slenderness Ratio
- M : Total Beam Mass (Including Contents)
- SF : Shape Factor
- SG : Specific Gravity (Submerged Beams Only)
- Ya : Distance From Outer Fibre To Centroid
- Yb : Distance From Outer Fibre To Centroid
- Yp : Distance From Base Of Triangle To Plastic Centroid
- Za : Section Modulus (I / Ya)
- Zb : Section Modulus (I / Yb)
- Zp : Plastic Modulus
- ai : Inside Width
- d : Beam Height
- di : Inside Height
- m : Mass Per Unit Length (Including Contents And Added Mass)
- ma : Added Unit Mass
- mb : Beam Unit Mass
- mc : Contents Fluid Mass
- md : Displaced Fluid Unit Mass
- r : Radius Of Gyration
- w : Unit Weight (Including Contents And Buoyancy)
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CALCULATOR : Beam Cross Section Properties (Isoceles Triangle Beam) [FREE] ±
Calculate isoceles triangle beam cross section properties for solid and hollow beams. Isoceles triangles have two equal sides, and two equal angles. For hollow triangles, the wall thickness is assumed to be equal on all three sides. The isoceles triangle calculator can also be used for equilateral triangle beams. Refer to the figure for more details. Tool Input- modptype : Material Type
- αu : User Defined Thermal Expansion Coefficient
- Eu : User Defined Elastic Modulus
- Gu : User Defined Shear Modulus
- ρpu : User Defined Density
- axstype : Cross Section Area Type
- mltype : Unit Mass And Unit Weight Type
- mmtype : Added Mass Type (Submerged Beams Only)
- Cmu : User Defined Added Mass Coefficient
- axistype : Bending Axis Type
- b : Beam Base Width
- d : Beam Height
- t : Wall Thickness
- L : Length
- ρc : Contents Fluid Density
- ρd : Displaced Fluid Density
Tool Output- α : Thermal Expansion Coefficient
- ρb : Beam Density
- Ac : Contents Cross Section Area
- Ad : Displaced Cross Section Area
- Ax : Beam Cross Section Area
- Cm : Added Mass Coefficient
- E : Elastic Modulus
- EA : E x A
- EAα : E x A x alpha
- EI : E x I
- G : Shear Modulus
- I : Moment Of Inertia
- Ip : Polar Moment Of Inertia
- J : Mass Moment Of Inertia
- L/r : Slenderness Ratio
- M : Total Beam Mass (Including Contents)
- SF : Shape Factor
- SG : Specific Gravity (Submerged Beams Only)
- Ya : Distance From Outer Fibre To Centroid
- Yb : Distance From Outer Fibre To Centroid
- Yp : Distance From Base Of Triangle To Plastic Centroid
- Za : Section Modulus (I / Ya)
- Zb : Section Modulus (I / Yb)
- Zp : Plastic Modulus
- bi : Inside Width
- di : Inside Height
- m : Mass Per Unit Length (Including Contents And Added Mass)
- ma : Added Unit Mass
- mb : Beam Unit Mass
- mc : Contents Fluid Mass
- md : Displaced Fluid Unit Mass
- r : Radius Of Gyration
- w : Unit Weight (Including Contents And Buoyancy)
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CALCULATOR : Beam Cross Section Properties (Scalene Triangle Beam) [FREE] ±
Calculate scalene triangle beam cross section properties. Scalene triangles have three unequal sides and three unequal angles. For triangles with an obtuse angle greater than 90 degrees, the longest side should be used as the base so that the offset is positive. The scalene triangle calculator can also be used for isoceles triangles and equilateral triangles. Axis L is parallel to the base. Axis M is perpendicular to the base. Axis 1 and 2 are the pricipal axes. Section properties can also be calculated for an axis parallel to either side, perpendicular to either side, or at a user defined angle relative to the L axis. Refer to the figure for more details. Tool Input- modptype : Material Type
- αu : User Defined Thermal Expansion Coefficient
- Eu : User Defined Elastic Modulus
- Gu : User Defined Shear Modulus
- ρpu : User Defined Density
- mltype : Unit Mass And Unit Weight Type
- mmtype : Added Mass Type (Submerged Beams Only)
- Cmu : User Defined Added Mass Coefficient
- axistype : Bending Axis Type
- θu : User Defined Axis Angle Relative To L Axis (Positive Anti Clockwise)
- d : Beam Height
- b : Beam Bottom Width
- a : Beam Offset
- L : Length
- ρd : Displaced Fluid Density
Tool Output- α : Thermal Expansion Coefficient
- θ : Axis Angle Relative To L Axis (Positive Anti Clockwise)
- ρb : Beam Density
- Ad : Displaced Cross Section Area
- Ax : Beam Cross Section Area
- Cm : Added Mass Coefficient
- E : Elastic Modulus
- EA : E x A
- EAα : E x A x alpha
- EI : E x I
- G : Shear Modulus
- H : Product Of Inertia
- I : Moment Of Inertia
- Ip : Polar Moment Of Inertia
- J : Mass Moment Of Inertia
- L/r : Slenderness Ratio
- M : Total Beam Mass (Without Contents)
- SG : Specific Gravity (Submerged Beams Only)
- Ya : Distance From Outer Fibre To Centroid a
- Yb : Distance From Outer Fibre To Centroid b
- Za : Section Modulus a
- Zb : Section Modulus b
- m : Mass Per Unit Length (Including Contents And Added Mass)
- ma : Added Unit Mass
- mb : Beam Unit Mass
- md : Displaced Fluid Unit Mass
- r : Radius Of Gyration
- w : Unit Weight (Including Contents And Buoyancy)
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CALCULATOR : Beam Buckling Load (General Beam) [FREE] ±
Calculate beam buckling load from beam effective length for general beams (user defined properties). Beam end types include: free fixed (cantilever), guided fixed, pinned fixed, fixed fixed (built in or fixed), pinned pinned (simply supported), and guided pinned beam ends. The beam end conditions are of the form left end - right end (for example Pin-Fix is left end pinned and right end fixed). All distances are measured from the left end of the beam. The buckling load can be calculated using either the Euler equation (suitable for long beams), the Johnson equation (suitable for short beams), or the buckling load equation can be determined from the transition length. The buckling load is positive. The axial load is negative in compression. The effective length factor should be used for beams on a soft foundation such as soil, where the beam ends are poorly defined. For defined beam ends, such as structures, the effective length factor should be set to one (fe = 1). Use the Result Plot option to plot the buckling load versus nominal length. Use the Result Table option to display the buckling load versus end type. Refer to the figures and help pages for more details. Tool Input- modptype : Material Property Type
- αu : User Defined Thermal Expansion Coefficient
- Eu : User Defined Elastic Modulus
- eitype : E x I Type
- Iu : User Defined Section Modulus
- ru : User Defined Radius Of Gyration
- EIu : User Defined E x I
- eaatype : E x A x alpha Type
- EAαu : User Defined E x A x alpha
- loadtype : Axial Load Type
- Td : User Defined Operating Temperature
- Tin : User Defined Installation Temperature
- Fin : User Defined Preload
- Fau : User Defined Axial Load
- fbtype : Buckling Load Type
- Fbu : User Defined Buckling Load
- endtype : End Type
- leftype : Effective Length Type
- feu : User Defined Effective Length Factor
- AX : Cross Section Area
- Lo : Nominal Length
- Sy : Yield Stress
Tool Output- α : Thermal Expansion Coefficient
- E : Elastic Modulus
- EAα : E x A x alpha (E x AX x α)
- EI : E x I
- Fa : Axial Load
- Fa/Fb : Axial Load Over Buckling Load Ratio (< 1)
- Fb : Buckling Load
- I : Moment Of Inertia
- Le : Effective Length
- Le/r : Slenderness Ratio
- Lt : Transition Length (Short to Long Beam)
- r : Radius Of Gyration
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CALCULATOR : Beam Buckling Right Angle Triangle Base And Height [FREE] ±
Calculate beam buckling right angle triangle base and height using Pythagoras theorem. For a right angle triangle, one of the internal angles equals 90 degrees. The base and height can be calculated from the known lengths and angles using cos, sin, tan, and Pythagorus theorem. Tool Input- trtype : Triangle Geometry Type
- au : User Defined Length Base Side a
- bu : User Defined Length Right Side b
- cu : User Defined Length Left Side c (Hypotenuse)
- Au : User Defined Angle Opposite Side a
- Bu : User Defined Angle Opposite Side b
- hcu : User Defined Height From Side c (Hypotenuse)
Tool Output- A : Angle Opposite Side a
- B : Angle Opposite Side b
- C : Angle Opposite Side c
- X : Cross Section Area
- XA : External Angle A
- XB : External Angle B
- XC : External Angle C
- a : Length Side a
- b : Length Side b
- c : Length Side c (Hypotenuse)
- ha : Height From Side a
- hb : Height From Side b
- hc : Height From Side c
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CALCULATOR : Beam Buckling Scalene Triangle Base Height And Offset [FREE] ±
Calculate beam buckling scalene triangle base height and offset from the sides and angles. Scalene triangles have three unequal sides, and three unequal angles. The base, height and offset can be calculated from the known lengths and angles using either the sin rule or the cosine rule. The triangle geometry should be arranged so that the offset is positive. Tool Input- trtype : Triangle Geometry Type
- au : User Defined Length Base Side a
- bu : User Defined Length Right Side b
- cu : User Defined Length Left Side c
- obu : User Defined Right Side Offset (Top From Side b)
- Au : User Defined Angle Opposite Side a
- Bu : User Defined Angle Opposite Side b
- Cu : User Defined Angle Opposite Side c
- hau : User Defined Height From Base Side a
- offtype : Offset Type
Tool Output- A : Angle Opposite Side a
- B : Angle Opposite Side b
- C : Angle Opposite Side c
- X : Cross Section Area
- XA : External Angle A
- XB : External Angle B
- XC : External Angle C
- a : Length Side a
- b : Length Side b
- c : Length Side c
- cvg : Convergence Check
- ha : Height From Side a
- hb : Height From Side b
- hc : Height From Side c
- ol : Left Side Offset
- or : Right Side Offset
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CALCULATOR : Beam Buckling Equilateral Triangle Base And Height [FREE] ±
Calculate beam buckling equilateral triangle base and height from the sides and angles. For an equilateral triangle all three sides and all three angles are equal (the internal angles = 60 degrees). The base and height can be calculated from either the known height, or the known base length. The offset is always positive. Tool Input- trtype : Triangle Geometry Type
- au : User Defined Length Side
- hau : User Defined Height From Side
Tool Output- A : Angle A
- X : Area A
- XA : Angle B
- a : Length A
- ha : Height
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CALCULATOR : Beam Buckling Isoceles Triangle Base And Height [FREE] ±
Calculate beam buckling isoceles triangle base and height from the sides and angles. Isoceles triangles have two equal sides and two equal angles. The base and height can be calculated from the known lengths and angles using either cos, sin and tan, or the sin rule and the cosine rule. The triangle should be orientated so that the unequal side is the base. Tool Input- trtype : Triangle Geometry Type
- au : User Defined Length Base Side
- bu : User Defined Length Equal Side
- Au : User Defined Angle Opposite Base Side
- Bu : User Defined Angle Opposite Equal Side
- hau : User Defined Height From Base Side
- hbu : User Defined Height From Equal Side
Tool Output- A : Angle Opposite Side a
- B : Angle Opposite Side b
- C : Angle Opposite Side c
- X : Cross Section Area
- XA : External Angle A
- XB : External Angle B
- XC : External Angle C
- a : Length Side a
- b : Length Side b
- c : Length Side c
- ha : Height From Side a
- hb : Height From Side b
- hc : Height From Side c
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CALCULATOR : Beam Buckling Yield Stress [FREE] ±
Calculate beam buckling yield stress (SMYS) and tensile stress (SMTS). Select one of the API, ASME or DNV stress table options. Use the Result Table option to display the stress values for the selected stress table. Tool Input- syutype : Stress Table Type
- mattype : Material Type
- SMYSu : User Defined Specified Minimum Yield Stress
- SMTSu : User Defined Specified Minimum Tensile Stress
Tool Output- SMTS : Specified Minimum Tensile Stress
- SMTS/SMYS : Tensile Stress Over Yield Stress Ratio
- SMYS : Specified Minimum Yield Stress
- SMYS/SMTS : Yield Stress Over Tensile Stress Ratio
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CALCULATOR : Beam Buckling Material Property [FREE] ±
Calculate beam buckling elastic modulus, shear modulus, bulk modulus, density, and thermal expansion coefficient. The table values of Poisson ratio and bulk modulus are calculated from the elastic modulus and shear modulus. Use the Result Table option to display a table of properties versus material type. Tool Input- modptype : Material Type
- Eu : User Defined Elastic Modulus
- Gu : User Defined Shear Modulus
- Ku : User Defined Bulk Modulus
- νu : User Defined Poisson Ratio
- ρu : User Defined Density
- αu : User Defined Thermal Expansion Coefficient
Tool Output- α : Thermal Expansion Coefficient
- ν : Poisson Ratio
- ρ : Density
- E : Elastic Modulus
- G : Shear Modulus
- K : Bulk Modulus
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CALCULATOR : Beam Buckling Load (Equilateral Triangle Beam) [PLUS] ±
Calculate equilateral triangle beam buckling load for solid and hollow beams. Equilateral triangles have three equal sides, and three equal angles (60 degrees). For hollow triangles, the wall thickness is assumed to be equal on all three sides. Beam end types include: free fixed (cantilever), guided fixed, pinned fixed, fixed fixed (built in or fixed), pinned pinned (simply supported), and guided pinned beam ends. The beam end conditions are of the form left end - right end (for example Pin-Fix is left end pinned and right end fixed). All distances are measured from the left end of the beam. The buckling load can be calculated using either the Euler equation (suitable for long beams), the Johnson equation (suitable for short beams), or the buckling load equation can be determined from the transition length. The buckling load is positive. The axial load is negative in compression. The effective length factor should be used for beams on a soft foundation such as soil, where the beam ends are poorly defined. For defined beam ends, such as structures, the effective length factor should be set to one (fe = 1). Use the Result Plot option to plot the buckling load versus nominal length. Use the Result Table option to display the buckling load versus end type. Refer to the figures and help pages for more details. Tool Input- modptype : Material Type
- αu : User Defined Thermal Expansion Coefficient
- Eu : User Defined Elastic Modulus
- axstype : Cross Section Area Type
- axistype : Bending Axis Type
- loadtype : Axial Load Type
- Td : User Defined Operating Temperature
- Tin : User Defined Installation Temperature
- Fin : User Defined Preload
- Fau : User Defined Axial Load
- fbtype : Buckling Load Type
- Fbu : User Defined Buckling Load
- endtype : End Type
- leftype : Effective Length Type
- feu : User Defined Effective Length Factor
- a : Beam Width
- ta : Wall Thickness
- Lo : Nominal Length
- Sy : Yield Stress
Tool Output- α : Thermal Expansion Coefficient
- AX : Beam Cross Section Area
- E : Elastic Modulus
- EAα : E x A x alpha
- EI : E x I
- Fa : Axial Load
- Fa/Fb : Axial Load Over Buckling Load Ratio (< 1)
- Fb : Buckling Load
- I : Moment Of Inertia
- L/r : Slenderness Ratio
- Le : Effective Length
- Lt : Transition Length (Short to Long Beam)
- d : Beam Height
- r : Radius Of Gyration
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CALCULATOR : Beam Buckling Load (Isoceles Triangle Beam) [PLUS] ±
Calculate isoceles triangle beam buckling load for solid and hollow beams. Isoceles triangles have two equal sides, and two equal angles. For hollow triangles, the wall thickness is assumed to be equal on all three sides. The isoceles triangle calculator can also be used for equilateral triangle beams. Beam end types include: free fixed (cantilever), guided fixed, pinned fixed, fixed fixed (built in or fixed), pinned pinned (simply supported), and guided pinned beam ends. The beam end conditions are of the form left end - right end (for example Pin-Fix is left end pinned and right end fixed). All distances are measured from the left end of the beam. The buckling load can be calculated using either the Euler equation (suitable for long beams), the Johnson equation (suitable for short beams), or the buckling load equation can be determined from the transition length. The buckling load is positive. The axial load is negative in compression. The effective length factor should be used for beams on a soft foundation such as soil, where the beam ends are poorly defined. For defined beam ends, such as structures, the effective length factor should be set to one (fe = 1). Use the Result Plot option to plot the buckling load versus nominal length. Use the Result Table option to display the buckling load versus end type. Refer to the figures and help pages for more details. Tool Input- modptype : Material Type
- αu : User Defined Thermal Expansion Coefficient
- Eu : User Defined Elastic Modulus
- axstype : Cross Section Area Type
- axistype : Bending Axis Type
- loadtype : Axial Load Type
- Td : User Defined Operating Temperature
- Tin : User Defined Installation Temperature
- Fin : User Defined Preload
- Fau : User Defined Axial Load
- fbtype : Buckling Load Type
- Fbu : User Defined Buckling Load
- endtype : End Type
- leftype : Effective Length Type
- feu : User Defined Effective Length Factor
- b : Beam Base Width
- d : Beam Height
- t : Wall Thickness
- Lo : Nominal Length
- Sy : Yield Stress
Tool Output- α : Thermal Expansion Coefficient
- AX : Beam Cross Section Area
- E : Elastic Modulus
- EAα : E x A x alpha
- EI : E x I
- Fa : Axial Load
- Fa/Fb : Axial Load Over Buckling Load Ratio (< 1)
- Fb : Buckling Load
- I : Moment Of Inertia
- L/r : Slenderness Ratio
- Le : Effective Length
- Lt : Transition Length (Short to Long Beam)
- r : Radius Of Gyration
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CALCULATOR : Beam Buckling Load (Scalene Triangle Beam) [PLUS] ±
Calculate scalene triangle beam buckling load. Scalene triangles have three unequal sides and three unequal angles. For triangles with an obtuse angle greater than 90 degrees, the longest side should be used as the base so that the offset is positive. The scalene triangle calculator can also be used for isoceles triangles and equilateral triangles. Axis L is parallel to the base. Axis M is perpendicular to the base. Axis 1 and 2 are the pricipal axes. Section properties can also be calculated for an axis parallel to either side, perpendicular to either side, or at a user defined angle relative to the L axis. Beam end types include: free fixed (cantilever), guided fixed, pinned fixed, fixed fixed (built in or fixed), pinned pinned (simply supported), and guided pinned beam ends. The beam end conditions are of the form left end - right end (for example Pin-Fix is left end pinned and right end fixed). All distances are measured from the left end of the beam. The buckling load can be calculated using either the Euler equation (suitable for long beams), the Johnson equation (suitable for short beams), or the buckling load equation can be determined from the transition length. The buckling load is positive. The axial load is negative in compression. The effective length factor should be used for beams on a soft foundation such as soil, where the beam ends are poorly defined. For defined beam ends, such as structures, the effective length factor should be set to one (fe = 1). Use the Result Plot option to plot the buckling load versus nominal length. Use the Result Table option to display the buckling load versus end type. Refer to the figures and help pages for more details. Tool Input- modptype : Material Type
- αu : User Defined Thermal Expansion Coefficient
- Eu : User Defined Elastic Modulus
- axistype : Bending Axis Type
- θu : User Defined Axis Angle Relative To L Axis (Positive Anti Clockwise)
- loadtype : Axial Load Type
- Td : User Defined Operating Temperature
- Tin : User Defined Installation Temperature
- Fin : User Defined Preload
- Fau : User Defined Axial Load
- fbtype : Buckling Load Type
- Fbu : User Defined Buckling Load
- endtype : End Type
- leftype : Effective Length Type
- feu : User Defined Effective Length Factor
- d : Beam Height
- b : Beam Bottom Width
- a : Beam Offset
- Lo : Nominal Length
- Sy : Yield Stress
Tool Output- Φ : Axis Angle Relative To L Axis (Positive Anti Clockwise)
- α : Thermal Expansion Coefficient
- AX : Beam Cross Section Area
- E : Elastic Modulus
- EAα : E x A x alpha
- EI : E x I
- Fa : Axial Load
- Fa/Fb : Axial Load Over Buckling Load Ratio (< 1)
- Fb : Buckling Load
- H : Product Of Inertia
- I : Moment Of Inertia
- L/r : Slenderness Ratio
- Le : Effective Length
- Lt : Transition Length (Short to Long Beam)
- r : Radius Of Gyration
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