Span Length given Vertical Reaction at Supports Calculator

✖Vertical reaction at supports is total reaction in vertical direction.ⓘ Vertical Reaction at Supports [V_R]			+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.ⓘ Uniformly Distributed Load [q]			+10% -10%

✖Cable Span is total length of cable in horizontal direction.ⓘ Span Length given Vertical Reaction at Supports [L_span]

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Span Length given Vertical Reaction at Supports Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cable Span = Vertical Reaction at Supports*2/Uniformly Distributed Load
L_span = V_R*2/q
This formula uses 3 Variables

Variables Used

Cable Span - (Measured in Meter) - Cable Span is total length of cable in horizontal direction.
Vertical Reaction at Supports - (Measured in Newton) - Vertical reaction at supports is total reaction in vertical direction.
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.

STEP 1: Convert Input(s) to Base Unit

Vertical Reaction at Supports: 75 Kilonewton --> 75000 Newton (Check conversion here)
Uniformly Distributed Load: 10 Kilonewton per Meter --> 10000 Newton per Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L_span = V_R*2/q --> 75000*2/10000

Evaluating ... ...

L_span = 15

STEP 3: Convert Result to Output's Unit

15 Meter --> No Conversion Required

FINAL ANSWER

15 Meter <-- Cable Span

(Calculation completed in 00.015 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)

Span Length given Vertical Reaction at Supports Formula

LaTeX Go

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

What is Support?

Structural support is a part of a building or structure providing the necessary stiffness and strength in order to resist the internal forces (vertical forces of gravity and lateral forces due to wind and earthquakes) and guide them safely to the ground.

How to Calculate Span Length given Vertical Reaction at Supports?

Span Length given Vertical Reaction at Supports calculator uses Cable Span = Vertical Reaction at Supports*2/Uniformly Distributed Load to calculate the Cable Span, The Span Length given Vertical Reaction at Supports is defined as total vertical force acting to support the cable. Cable Span is denoted by L_span symbol.

How to calculate Span Length given Vertical Reaction at Supports using this online calculator? To use this online calculator for Span Length given Vertical Reaction at Supports, enter Vertical Reaction at Supports (V_R) & Uniformly Distributed Load (q) and hit the calculate button. Here is how the Span Length given Vertical Reaction at Supports calculation can be explained with given input values -> 15 = 75000*2/10000.

FAQ

What is Span Length given Vertical Reaction at Supports?

The Span Length given Vertical Reaction at Supports is defined as total vertical force acting to support the cable and is represented as L_span = V_R*2/q or Cable Span = Vertical Reaction at Supports*2/Uniformly Distributed Load. Vertical reaction at supports is total reaction in vertical direction & 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.

How to calculate Span Length given Vertical Reaction at Supports?

The Span Length given Vertical Reaction at Supports is defined as total vertical force acting to support the cable is calculated using Cable Span = Vertical Reaction at Supports*2/Uniformly Distributed Load. To calculate Span Length given Vertical Reaction at Supports, you need Vertical Reaction at Supports (V_R) & Uniformly Distributed Load (q). With our tool, you need to enter the respective value for Vertical Reaction at Supports & Uniformly Distributed Load 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 Cable Span?

In this formula, Cable Span uses Vertical Reaction at Supports & Uniformly Distributed Load. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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