Question on calculating Bending Moment for Beam

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Discussion Overview

The discussion revolves around calculating the bending moment for a bridge beam, with participants exploring the implications of missing load data and the structural characteristics of the bridges in question. The conversation includes theoretical considerations, calculations, and requests for additional context.

Discussion Character

  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant inquires about the possibility of calculating the bending moment without specific load data provided.
  • Another suggests that the load values could be ultimate resistance values for the structure, but notes that without these values, calculation is not feasible.
  • A participant points out that the first bridge is an arch, which theoretically does not experience bending moments, as it operates under pure compression.
  • Discussion includes a calculation of maximum bending moments for a simple reinforced concrete beam, comparing it to the provided maximum moment for the second bridge.
  • There is a mention of a prop located at about one-third of the span, which could affect the maximum moment and its location, depending on assumptions about beam continuity.
  • One participant requests clarification on the formula used for calculating bending moments and seeks to understand specific parameters in the calculation.
  • Another participant explains the weight of reinforced concrete and how it factors into calculating the weight per meter of the beam, as well as the formula for maximum moment in a simply supported beam.

Areas of Agreement / Disagreement

Participants express differing views on the feasibility of calculating the bending moment without complete load data. There is no consensus on the implications of the arch structure or the effects of the prop on the bending moment calculations.

Contextual Notes

Participants note the need for additional context regarding the bridges and the specific load conditions to make accurate calculations. The discussion also highlights the assumptions made about the structural behavior of the bridges.

joeykeys
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I would like to know ,
given with the 2 attachments below,

are there any ways to find the bending moment (as circled) of the bridge?

or it is not possible to calculate simply because the "load" data is not given?

Several attempts have been tried but the circled data can not be reached.

Thanks a dozen for the help!
 

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These load values could be given as ultimate resistance values for the structure.
 
radou said:
These load values could be given as ultimate resistance values for the structure.


However, this "ultimate" value is not currently provided so it is not possible to calculate the bending moment as shown..

is it?
 
I think you need to provide further information about the context.

The first bridge is stated to be an arch. Arches have no bending moments, being pure compression structures.

The second bridge is stated to have a span of 98m and a (presumably) max bending moment of 134627 kN-m.

A simple RC beam with such a span would experience a max bending moment of 2*6*2400*10*98*98/8 = 345744 kN-m. This is nearly three times as much.

But the picture shows a prop at about 1/3 of the span. Such a prop would reduce the max moment and reposition it. The exact figure would depend upon the assumptions about continuity in the beam over the prop. If we assume the beam is fully continuous over the prop, can you calculate the approx moment? - it is possible to estimate if we can locate the prop along the 98 m overall span.
 
Studiot said:
I think you need to provide further information about the context.

The first bridge is stated to be an arch. Arches have no bending moments, being pure compression structures.

The second bridge is stated to have a span of 98m and a (presumably) max bending moment of 134627 kN-m.

A simple RC beam with such a span would experience a max bending moment of 2*6*2400*10*98*98/8 = 345744 kN-m. This is nearly three times as much.

But the picture shows a prop at about 1/3 of the span. Such a prop would reduce the max moment and reposition it. The exact figure would depend upon the assumptions about continuity in the beam over the prop. If we assume the beam is fully continuous over the prop, can you calculate the approx moment? - it is possible to estimate if we can locate the prop along the 98 m overall span.
Could you tell me which formula have you used for calculating the bending moment?

say is it: (b*d* ? * ? * span^2 ) /8 = bending moment

what does 2400 and 10 stand for?

Thanks again for the clarifacation.
 
Last edited:
reinforced concrete weighs about 2400 kg/cubic metre.
10 approximates the acceleration due to gravity to convert this to Newtons

the weight per metre run of beam is depth x width x1 x above density

the maximum moment in a simply supported beam is wL2/8

where L is the span length and w is the weight per metre run.

But you didn't answer my question so I can't help further
 

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