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Minimum Thickness of Base Plate Formula

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Minimum Thickness of Base Plate will depend on a variety of factors, including the material being used, the intended use of the plate, and the loads or stresses that the plate will be subjected to. Check FAQs

t B = {((3 \cdot \frac{w}{f b}) \cdot ({(A)}^{2} - (\frac{{(B)}^{2}}{4})))}^{0.5}

t_B - Minimum Thickness of Base Plate?w - Pressure Intensity on Under Side of Base Plate?f_b - Permissible Bending Stress in Base Plate Material?A - Greater Projection of Plate beyond Column?B - Lesser Projection of Plate beyond Column?

Minimum Thickness of Base Plate Example

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Here is how the Minimum Thickness of Base Plate equation looks like with Values.

Here is how the Minimum Thickness of Base Plate equation looks like with Units.

Here is how the Minimum Thickness of Base Plate equation looks like.

1.9551 = {((3 \cdot \frac{0.4}{155}) \cdot ({(26)}^{2} - (\frac{{(27)}^{2}}{4})))}^{0.5}

1.9551mm = {((3 \cdot \frac{0.4N/mm²}{155N/mm²}) \cdot ({(26mm)}^{2} - (\frac{{(27mm)}^{2}}{4})))}^{0.5}

1.9551 = {((3 \cdot \frac{0.4}{155}) \cdot ({(26)}^{2} - (\frac{{(27)}^{2}}{4})))}^{0.5}

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Minimum Thickness of Base Plate Solution

Follow our step by step solution on how to calculate Minimum Thickness of Base Plate?

FIRST Step Consider the formula

t B = {((3 \cdot \frac{w}{f b}) \cdot ({(A)}^{2} - (\frac{{(B)}^{2}}{4})))}^{0.5}

Next Step Substitute values of Variables

∴

t B = {((3 \cdot \frac{0.4N/mm²}{155N/mm²}) \cdot ({(26mm)}^{2} - (\frac{{(27mm)}^{2}}{4})))}^{0.5}

Next Step Convert Units

∴

t B = {((3 \cdot \frac{400000Pa}{1.6E+8Pa}) \cdot ({(0.026m)}^{2} - (\frac{{(0.027m)}^{2}}{4})))}^{0.5}

Next Step Prepare to Evaluate

∴

t B = {((3 \cdot \frac{400000}{1.6E+8}) \cdot ({(0.026)}^{2} - (\frac{{(0.027)}^{2}}{4})))}^{0.5}

Next Step Evaluate

∴

t B = 0.00195514210357234m

Next Step Convert to Output's Unit

∴

t B = 1.95514210357234mm

LAST Step Rounding Answer

∴

t B = 1.9551mm

Minimum Thickness of Base Plate Formula Elements

Variables

Minimum Thickness of Base Plate

Minimum Thickness of Base Plate will depend on a variety of factors, including the material being used, the intended use of the plate, and the loads or stresses that the plate will be subjected to.

Symbol: t_B

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Minimum Thickness of Base Plate

Pressure Intensity on Under Side of Base Plate

Pressure Intensity on Under Side of Base Plate refers to the amount of pressure acting on a given area or surface.

Symbol: w

Measurement: PressureUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Pressure Intensity on Under Side of Base Plate

Permissible Bending Stress in Base Plate Material

Permissible Bending Stress in Base Plate Material also known as allowable bending stress, is the maximum amount of stress that a material can withstand before it fails due to bending.

Symbol: f_b

Measurement: StressUnit: N/mm²

Note: Value should be greater than 0.

Formulas to find Permissible Bending Stress in Base Plate Material

Greater Projection of Plate beyond Column

Greater Projection of Plate beyond Column design it is attached to is often used to provide additional support or stability to a structure.

Symbol: A

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Greater Projection of Plate beyond Column

Lesser Projection of Plate beyond Column

Lesser Projection of Plate beyond Column is often used to provide a minimum amount of support or stability to a structure, such as a building or bridge.

Symbol: B

Measurement: LengthUnit: mm

Note: Value can be positive or negative.

Formulas to find Lesser Projection of Plate beyond Column

Other formulas in Lug or Bracket Support category

Go Maximum Compressive Load acting on Bracket

P Load = \frac{(4 \cdot (Wind Force)) \cdot (Height - c)}{N \cdot D bc} + (\frac{ΣW}{N})

Go Thickness of Horizontal Plate Fixed at Edges

T h = {((0.7) \cdot (f horizontal) \cdot (\frac{{(L Horizontal)}^{2}}{f Edges}) \cdot (\frac{{(a)}^{4}}{{(L Horizontal)}^{4} + {(a)}^{4}}))}^{0.5}

Go Maximum Compressive Stress Parallel to Edge of Gusset Plate

f Compressive = (\frac{M GussetPlate}{Z}) \cdot (\frac{1}{\cos (Θ)})

Go Thickness of Gusset Plate

T g = (\frac{M GussetPlate}{\frac{f Compressive \cdot (h^{2})}{6}}) \cdot (\frac{1}{\cos (Θ)})

How to Evaluate Minimum Thickness of Base Plate?

Minimum Thickness of Base Plate evaluator uses Minimum Thickness of Base Plate = ((3*Pressure Intensity on Under Side of Base Plate/Permissible Bending Stress in Base Plate Material)*((Greater Projection of Plate beyond Column)^(2)-((Lesser Projection of Plate beyond Column)^(2)/4)))^(0.5) to evaluate the Minimum Thickness of Base Plate, The Minimum Thickness of Base Plate will depend on a variety of factors, including the material being used, the intended use of the plate, and the loads or stresses that the plate will be subjected to. Minimum Thickness of Base Plate is denoted by t_B symbol.

How to evaluate Minimum Thickness of Base Plate using this online evaluator? To use this online evaluator for Minimum Thickness of Base Plate, enter Pressure Intensity on Under Side of Base Plate (w), Permissible Bending Stress in Base Plate Material (f_b), Greater Projection of Plate beyond Column (A) & Lesser Projection of Plate beyond Column (B) and hit the calculate button.

FAQs on Minimum Thickness of Base Plate

What is the formula to find Minimum Thickness of Base Plate?

The formula of Minimum Thickness of Base Plate is expressed as Minimum Thickness of Base Plate = ((3*Pressure Intensity on Under Side of Base Plate/Permissible Bending Stress in Base Plate Material)*((Greater Projection of Plate beyond Column)^(2)-((Lesser Projection of Plate beyond Column)^(2)/4)))^(0.5). Here is an example- 1955.142 = ((3*400000/155000000)*((0.026)^(2)-((0.027)^(2)/4)))^(0.5).

How to calculate Minimum Thickness of Base Plate?

With Pressure Intensity on Under Side of Base Plate (w), Permissible Bending Stress in Base Plate Material (f_b), Greater Projection of Plate beyond Column (A) & Lesser Projection of Plate beyond Column (B) we can find Minimum Thickness of Base Plate using the formula - Minimum Thickness of Base Plate = ((3*Pressure Intensity on Under Side of Base Plate/Permissible Bending Stress in Base Plate Material)*((Greater Projection of Plate beyond Column)^(2)-((Lesser Projection of Plate beyond Column)^(2)/4)))^(0.5).

Can the Minimum Thickness of Base Plate be negative?

No, the Minimum Thickness of Base Plate, measured in Length cannot be negative.

Which unit is used to measure Minimum Thickness of Base Plate?

Minimum Thickness of Base Plate is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Minimum Thickness of Base Plate can be measured.

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Minimum Thickness of Base Plate Formula

Minimum Thickness of Base Plate Example

Minimum Thickness of Base Plate Solution

Minimum Thickness of Base Plate Formula Elements

Other formulas in Lug or Bracket Support category

How to Evaluate Minimum Thickness of Base Plate?

FAQs on Minimum Thickness of Base Plate

Variable Name