UDL given Vertical Reaction at Supports Calculator

✖Vertical reaction at supports is total reaction in vertical direction.ⓘ Vertical Reaction at Supports [V_R]			+10% -10%
✖Cable Span is total length of cable in horizontal direction.ⓘ Cable Span [L_span]			+10% -10%

✖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.ⓘ UDL given Vertical Reaction at Supports [q]

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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*V_R/L_span
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*V_R/L_span --> 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)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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< Supports at Same Level Calculators

Span Length given Horizontal Component of Cable Tension for UDL

LaTeX 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

LaTeX 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

LaTeX 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

LaTeX Go Cable Tension for UDL = Uniformly Distributed Load*(Cable Span^2)/(8*Sag of Cable at Midway between Supports)

UDL given Vertical Reaction at Supports Formula

LaTeX Go

Uniformly Distributed Load = 2*Vertical Reaction at Supports/Cable Span
q = 2*V_R/L_span

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 (V_R) & Cable Span (L_span) 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*V_R/L_span 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 (V_R) & Cable Span (L_span). 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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