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Maximum Bending Moment of Cantilever Subject to UDL Over its Entire Span Solution

STEP 0: Pre-Calculation Summary
Formula Used
Bending Moment = (-Uniformly Distributed Load*Length^2)/2
M = (-q*L^2)/2
This formula uses 2 Variables
Variables Used
Uniformly Distributed Load - Uniformly distributed Load (UDL) is a load that is distributed or spread across the whole region of an element whose magnitude of the load remains uniform throughout the whole element. (Measured in Kilonewton per Meter)
Length - Length is the measurement or extent of something from end to end. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Uniformly Distributed Load: 10 Kilonewton per Meter --> 10000 Newton per Meter (Check conversion here)
Length: 3 Meter --> 3 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
M = (-q*L^2)/2 --> (-10000*3^2)/2
Evaluating ... ...
M = -45000
STEP 3: Convert Result to Output's Unit
-45000 Newton Meter -->-45 Kilonewton Meter (Check conversion here)
FINAL ANSWER
-45 Kilonewton Meter <-- Bending Moment
(Calculation completed in 00.000 seconds)

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Maximum Bending Moment of Cantilever Subject to UDL Over its Entire Span Formula

Bending Moment = (-Uniformly Distributed Load*Length^2)/2
M = (-q*L^2)/2

What is Bending Moment of a Cantilever Subject to UDL Over its Entire Span?

Bending moment of a Cantilever Subject to UDL Over its Entire Span is the reaction induced in a cantilever beam at the fixed end when a uniformly distributed load is applied to the cantilever, causing it to hog.

How to Calculate Maximum Bending Moment of Cantilever Subject to UDL Over its Entire Span?

Maximum Bending Moment of Cantilever Subject to UDL Over its Entire Span calculator uses Bending Moment = (-Uniformly Distributed Load*Length^2)/2 to calculate the Bending Moment, Maximum Bending Moment of Cantilever Subject to UDL Over its Entire Span is defined as the bending of the beam or any structure upon the action of the arbitrary load. Bending Moment is denoted by M symbol.

How to calculate Maximum Bending Moment of Cantilever Subject to UDL Over its Entire Span using this online calculator? To use this online calculator for Maximum Bending Moment of Cantilever Subject to UDL Over its Entire Span, enter Uniformly Distributed Load (q) & Length (L) and hit the calculate button. Here is how the Maximum Bending Moment of Cantilever Subject to UDL Over its Entire Span calculation can be explained with given input values -> -45 = (-10000*3^2)/2.

FAQ

What is Maximum Bending Moment of Cantilever Subject to UDL Over its Entire Span?
Maximum Bending Moment of Cantilever Subject to UDL Over its Entire Span is defined as the bending of the beam or any structure upon the action of the arbitrary load and is represented as M = (-q*L^2)/2 or Bending Moment = (-Uniformly Distributed Load*Length^2)/2. Uniformly distributed Load (UDL) is a load that is distributed or spread across the whole region of an element whose magnitude of the load remains uniform throughout the whole element & Length is the measurement or extent of something from end to end.
How to calculate Maximum Bending Moment of Cantilever Subject to UDL Over its Entire Span?
Maximum Bending Moment of Cantilever Subject to UDL Over its Entire Span is defined as the bending of the beam or any structure upon the action of the arbitrary load is calculated using Bending Moment = (-Uniformly Distributed Load*Length^2)/2. To calculate Maximum Bending Moment of Cantilever Subject to UDL Over its Entire Span, you need Uniformly Distributed Load (q) & Length (L). With our tool, you need to enter the respective value for Uniformly Distributed Load & Length and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Bending Moment?
In this formula, Bending Moment uses Uniformly Distributed Load & Length. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • Bending Moment = (Point Load acting on the Beam*Length)/4
  • Bending Moment = (Uniformly Distributed Load*Length^2)/8
  • Bending Moment = 0.1283*Uniformly Varying Load*Length
  • Bending Moment = (-Point Load acting on the Beam*Length)
  • Bending Moment = (Point Load acting on the Beam*Distance from end A*Distance from end B)/Length
  • Bending Moment = -Point Load acting on the Beam*Length of Overhang
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