Vertical Reaction at Supports Calculator

✖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.ⓘ Cable Span [L_span]			+10% -10%

✖Vertical reaction at supports is total reaction in vertical direction.ⓘ Vertical Reaction at Supports [V_R]

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Formula

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Vertical Reaction at Supports

Formula

`"V"_{"R"} = "q"*"L"_{"span"}/2`

Example

`"75kN"="10.0kN/m"*"15m"/2`

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Vertical Reaction at Supports Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
Cable Span - (Measured in Meter) - Cable Span is total length of cable in horizontal direction.

STEP 1: Convert Input(s) to Base Unit

Uniformly Distributed Load: 10 Kilonewton per Meter --> 10000 Newton per Meter (Check conversion here)
Cable Span: 15 Meter --> 15 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_R = q*L_span/2 --> 10000*15/2

Evaluating ... ...

V_R = 75000

STEP 3: Convert Result to Output's Unit

75000 Newton -->75 Kilonewton (Check conversion here)

FINAL ANSWER

75 Kilonewton <-- Vertical Reaction at Supports

(Calculation completed in 00.004 seconds)

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Credits

Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

Verified by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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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

Vertical Reaction at Supports Formula

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

What is Cable?

Cables are flexible structures that support the applied transverse loads by the tensile resistance developed in its members. Cables are used in suspension bridges, tension leg offshore platforms, transmission lines, and several other engineering applications.

How to Calculate Vertical Reaction at Supports?

Vertical Reaction at Supports calculator uses Vertical Reaction at Supports = Uniformly Distributed Load*Cable Span/2 to calculate the Vertical Reaction at Supports, The Vertical Reaction at Supports formula is defined as the force acting at supports due to load acting on cable. Vertical Reaction at Supports is denoted by V_R symbol.

How to calculate Vertical Reaction at Supports using this online calculator? To use this online calculator for Vertical Reaction at Supports, enter Uniformly Distributed Load (q) & Cable Span (L_span) and hit the calculate button. Here is how the Vertical Reaction at Supports calculation can be explained with given input values -> 0.075 = 10000*15/2.

FAQ

What is Vertical Reaction at Supports?

The Vertical Reaction at Supports formula is defined as the force acting at supports due to load acting on cable and is represented as V_R = q*L_span/2 or Vertical Reaction at Supports = Uniformly Distributed Load*Cable Span/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 & Cable Span is total length of cable in horizontal direction.

How to calculate Vertical Reaction at Supports?

The Vertical Reaction at Supports formula is defined as the force acting at supports due to load acting on cable is calculated using Vertical Reaction at Supports = Uniformly Distributed Load*Cable Span/2. To calculate Vertical Reaction at Supports, you need Uniformly Distributed Load (q) & Cable Span (L_span). With our tool, you need to enter the respective value for Uniformly Distributed Load & Cable Span and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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