Uniformly distributed Load given Horizontal Component of Cable Tension for UDL Solution

STEP 0: Pre-Calculation Summary
Formula Used
Uniformly Distributed Load = (Cable Tension for UDL*8*Sag of Cable at Midway between Supports)/(Cable Span)^2
q = (Tcable udl*8*f)/(Lspan)^2
This formula uses 4 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.
Cable Tension for UDL - (Measured in Newton) - Cable Tension for UDL is the total tension in cable for uniformly distributed load on cable.
Sag of Cable at Midway between Supports - (Measured in Meter) - Sag of Cable at Midway between Supports is vertical sag at midpoint of cable.
Cable Span - (Measured in Meter) - Cable Span is total length of cable in horizontal direction.
STEP 1: Convert Input(s) to Base Unit
Cable Tension for UDL: 56.25 Kilonewton --> 56250 Newton (Check conversion here)
Sag of Cable at Midway between Supports: 5 Meter --> 5 Meter No Conversion Required
Cable Span: 15 Meter --> 15 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
q = (Tcable udl*8*f)/(Lspan)^2 --> (56250*8*5)/(15)^2
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 00.020 seconds)

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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

Uniformly distributed Load given Horizontal Component of Cable Tension for UDL Formula

Uniformly Distributed Load = (Cable Tension for UDL*8*Sag of Cable at Midway between Supports)/(Cable Span)^2
q = (Tcable udl*8*f)/(Lspan)^2

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. In other words, the magnitude of the load remains uniform throughout the whole element.

How to Calculate Uniformly distributed Load given Horizontal Component of Cable Tension for UDL?

Uniformly distributed Load given Horizontal Component of Cable Tension for UDL calculator uses Uniformly Distributed Load = (Cable Tension for UDL*8*Sag of Cable at Midway between Supports)/(Cable Span)^2 to calculate the Uniformly Distributed Load, The Uniformly distributed Load given Horizontal Component of Cable Tension for UDL formula is defined as the total load acting on the cable per meter span length of the cable. Uniformly Distributed Load is denoted by q symbol.

How to calculate Uniformly distributed Load given Horizontal Component of Cable Tension for UDL using this online calculator? To use this online calculator for Uniformly distributed Load given Horizontal Component of Cable Tension for UDL, enter Cable Tension for UDL (Tcable udl), Sag of Cable at Midway between Supports (f) & Cable Span (Lspan) and hit the calculate button. Here is how the Uniformly distributed Load given Horizontal Component of Cable Tension for UDL calculation can be explained with given input values -> 0.01 = (56250*8*5)/(15)^2.

FAQ

What is Uniformly distributed Load given Horizontal Component of Cable Tension for UDL?
The Uniformly distributed Load given Horizontal Component of Cable Tension for UDL formula is defined as the total load acting on the cable per meter span length of the cable and is represented as q = (Tcable udl*8*f)/(Lspan)^2 or Uniformly Distributed Load = (Cable Tension for UDL*8*Sag of Cable at Midway between Supports)/(Cable Span)^2. Cable Tension for UDL is the total tension in cable for uniformly distributed load on cable, Sag of Cable at Midway between Supports is vertical sag at midpoint of cable & Cable Span is total length of cable in horizontal direction.
How to calculate Uniformly distributed Load given Horizontal Component of Cable Tension for UDL?
The Uniformly distributed Load given Horizontal Component of Cable Tension for UDL formula is defined as the total load acting on the cable per meter span length of the cable is calculated using Uniformly Distributed Load = (Cable Tension for UDL*8*Sag of Cable at Midway between Supports)/(Cable Span)^2. To calculate Uniformly distributed Load given Horizontal Component of Cable Tension for UDL, you need Cable Tension for UDL (Tcable udl), Sag of Cable at Midway between Supports (f) & Cable Span (Lspan). With our tool, you need to enter the respective value for Cable Tension for UDL, Sag of Cable at Midway between 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 Cable Tension for UDL, Sag of Cable at Midway between Supports & Cable Span. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Uniformly Distributed Load = 2*Vertical Reaction at Supports/Cable Span
  • 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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