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Load Intensity given Max Bending Moment for Strut Subjected to Uniformly Distributed Load Formula

GoLoad Intensity for Strut Subjected to Compressive Axial and Uniformly Distributed Load Formula

GoLoad Intensity given Maximum Bending Moment for Strut subjected to Uniformly Distributed Load Formula

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Load Intensity is the distribution of load over a certain area or length of a structural element. Check FAQs

q f = \frac{M}{ε column \cdot \frac{I}{P axial}} \cdot ((\sec ((\frac{l column}{2}) \cdot (\frac{P axial}{ε column \cdot I}))) - 1)

q_f - Load Intensity?M - Maximum Bending Moment In Column?ε_column - Modulus of Elasticity of Column?I - Moment of Inertia?P_axial - Axial Thrust?l_column - Column Length?

Load Intensity given Max Bending Moment for Strut Subjected to Uniformly Distributed Load Example

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Here is how the Load Intensity given Max Bending Moment for Strut Subjected to Uniformly Distributed Load equation looks like with Values.

Here is how the Load Intensity given Max Bending Moment for Strut Subjected to Uniformly Distributed Load equation looks like with Units.

Here is how the Load Intensity given Max Bending Moment for Strut Subjected to Uniformly Distributed Load equation looks like.

6.9E-8 = \frac{16}{10.56 \cdot \frac{5600}{1500}} \cdot ((\sec ((\frac{5000}{2}) \cdot (\frac{1500}{10.56 \cdot 5600}))) - 1)

6.9E-8MPa = \frac{16N*m}{10.56MPa \cdot \frac{5600cm⁴}{1500N}} \cdot ((\sec ((\frac{5000mm}{2}) \cdot (\frac{1500N}{10.56MPa \cdot 5600cm⁴}))) - 1)

6.9E-8 = \frac{16}{10.56 \cdot \frac{5600}{1500}} \cdot ((\sec ((\frac{5000}{2}) \cdot (\frac{1500}{10.56 \cdot 5600}))) - 1)

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Load Intensity given Max Bending Moment for Strut Subjected to Uniformly Distributed Load Solution

Follow our step by step solution on how to calculate Load Intensity given Max Bending Moment for Strut Subjected to Uniformly Distributed Load?

FIRST Step Consider the formula

q f = \frac{M}{ε column \cdot \frac{I}{P axial}} \cdot ((\sec ((\frac{l column}{2}) \cdot (\frac{P axial}{ε column \cdot I}))) - 1)

Next Step Substitute values of Variables

∴

q f = \frac{16N*m}{10.56MPa \cdot \frac{5600cm⁴}{1500N}} \cdot ((\sec ((\frac{5000mm}{2}) \cdot (\frac{1500N}{10.56MPa \cdot 5600cm⁴}))) - 1)

Next Step Convert Units

∴

q f = \frac{16N*m}{1.1E+7Pa \cdot \frac{5.6E-5m⁴}{1500N}} \cdot ((\sec ((\frac{5m}{2}) \cdot (\frac{1500N}{1.1E+7Pa \cdot 5.6E-5m⁴}))) - 1)

Next Step Prepare to Evaluate

∴

q f = \frac{16}{1.1E+7 \cdot \frac{5.6E-5}{1500}} \cdot ((\sec ((\frac{5}{2}) \cdot (\frac{1500}{1.1E+7 \cdot 5.6E-5}))) - 1)

Next Step Evaluate

∴

q f = 0.0686651316157676Pa

Next Step Convert to Output's Unit

∴

q f = 6.86651316157676E-08MPa

LAST Step Rounding Answer

∴

q f = 6.9E-8MPa

Load Intensity given Max Bending Moment for Strut Subjected to Uniformly Distributed Load Formula Elements

Variables

Functions

Load Intensity

Load Intensity is the distribution of load over a certain area or length of a structural element.

Symbol: q_f

Measurement: PressureUnit: MPa

Note: Value can be positive or negative.

Formulas to find Load Intensity

Maximum Bending Moment In Column

Maximum Bending Moment In Column is the highest amount of bending force that a column experiences due to applied loads, either axial or eccentric.

Symbol: M

Measurement: Moment of ForceUnit: N*m