UDL given Vertical Reaction at Supports Solution

STEP 0: Pre-Calculation Summary
Formula Used
Uniformly Distributed Load = 2*Vertical Reaction at Supports/Cable Span
q = 2*VR/Lspan
This formula uses 3 Variables
Variables Used
Uniformly Distributed Load - (Measured in Newton per Meter) - 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.
Vertical Reaction at Supports - (Measured in Newton) - Vertical reaction at supports is total reaction in vertical direction.
Cable Span - (Measured in Meter) - Cable Span is total length of cable in horizontal direction.
STEP 1: Convert Input(s) to Base Unit
Vertical Reaction at Supports: 75 Kilonewton --> 75000 Newton (Check conversion here)
Cable Span: 15 Meter --> 15 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
q = 2*VR/Lspan --> 2*75000/15
Evaluating ... ...
q = 10000
STEP 3: Convert Result to Output's Unit
10000 Newton per Meter -->10 Kilonewton per Meter (Check conversion here)
FINAL ANSWER
10 Kilonewton per Meter <-- Uniformly Distributed Load
(Calculation completed in 00.004 seconds)

Credits

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National Institute of Technology Karnataka (NITK), Surathkal
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10+ Supports at Same Level Calculators

Sag of Cable at Midway between supports given Maximum Reactions at Supports
Go Sag of Cable at Midway between Supports = sqrt(((Cable Span^2)/16)/(((2*Maximum Value of Tension)/(Uniformly Distributed Load*Cable Span))^2-1))
UDL given Maximum Reactions at Supports
Go Uniformly Distributed Load = Maximum Value of Tension/((Cable Span/2)*sqrt(1+((Cable Span^2)/(16*Sag of Cable at Midway between Supports^2))))
Maximum Reactions at Supports
Go Maximum Value of Tension = (Uniformly Distributed Load*Cable Span/2)*sqrt(1+((Cable Span^2)/(16*Sag of Cable at Midway between Supports^2)))
Span Length given Horizontal Component of Cable Tension for UDL
Go Cable Span = sqrt((8*Sag of Cable at Midway between Supports*Cable Tension for UDL)/Uniformly Distributed Load)
Sag of Cable at Midway between supports given Horizontal Component of Cable Tension for UDL
Go Sag of Cable at Midway between Supports = Uniformly Distributed Load*(Cable Span^2)/(8*Cable Tension for UDL)
Uniformly distributed Load given Horizontal Component of Cable Tension for UDL
Go Uniformly Distributed Load = (Cable Tension for UDL*8*Sag of Cable at Midway between Supports)/(Cable Span)^2
Horizontal Component of Cable Tension for UDL
Go Cable Tension for UDL = Uniformly Distributed Load*(Cable Span^2)/(8*Sag of Cable at Midway between Supports)
Span Length given Vertical Reaction at Supports
Go Cable Span = Vertical Reaction at Supports*2/Uniformly Distributed Load
UDL given Vertical Reaction at Supports
Go Uniformly Distributed Load = 2*Vertical Reaction at Supports/Cable Span
Vertical Reaction at Supports
Go Vertical Reaction at Supports = Uniformly Distributed Load*Cable Span/2

UDL given Vertical Reaction at Supports Formula

Uniformly Distributed Load = 2*Vertical Reaction at Supports/Cable Span
q = 2*VR/Lspan

What is Uniformly Distributed Load (UDL)?

A uniformly distributed load (UDL) is a load that is distributed or spread across the whole region of an element such as a beam or slab.

How to Calculate UDL given Vertical Reaction at Supports?

UDL given Vertical Reaction at Supports calculator uses Uniformly Distributed Load = 2*Vertical Reaction at Supports/Cable Span to calculate the Uniformly Distributed Load, The UDL given Vertical Reaction at Supports formula is defined as the total load per meter length of cable in horizontal direction acting on cable. Uniformly Distributed Load is denoted by q symbol.

How to calculate UDL given Vertical Reaction at Supports using this online calculator? To use this online calculator for UDL given Vertical Reaction at Supports, enter Vertical Reaction at Supports (VR) & Cable Span (Lspan) and hit the calculate button. Here is how the UDL given Vertical Reaction at Supports calculation can be explained with given input values -> 0.01 = 2*75000/15.

FAQ

What is UDL given Vertical Reaction at Supports?
The UDL given Vertical Reaction at Supports formula is defined as the total load per meter length of cable in horizontal direction acting on cable and is represented as q = 2*VR/Lspan or Uniformly Distributed Load = 2*Vertical Reaction at Supports/Cable Span. Vertical reaction at supports is total reaction in vertical direction & Cable Span is total length of cable in horizontal direction.
How to calculate UDL given Vertical Reaction at Supports?
The UDL given Vertical Reaction at Supports formula is defined as the total load per meter length of cable in horizontal direction acting on cable is calculated using Uniformly Distributed Load = 2*Vertical Reaction at Supports/Cable Span. To calculate UDL given Vertical Reaction at Supports, you need Vertical Reaction at Supports (VR) & Cable Span (Lspan). With our tool, you need to enter the respective value for Vertical Reaction at Supports & Cable Span 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 Uniformly Distributed Load?
In this formula, Uniformly Distributed Load uses Vertical Reaction at Supports & Cable Span. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Uniformly Distributed Load = (Cable Tension for UDL*8*Sag of Cable at Midway between Supports)/(Cable Span)^2
  • Uniformly Distributed Load = Maximum Value of Tension/((Cable Span/2)*sqrt(1+((Cable Span^2)/(16*Sag of Cable at Midway between Supports^2))))
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