Structural Analysis: Moving Loads

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10 Questions

Where does the maximum moment occur for a single moving load?

At the mid-span

Where does the maximum shear occur for a single moving load?

Very near the support

What governs the design of a beam subject to moving loads?

The maximum moment

Where does the maximum shear occur for two moving loads?

At the reaction when the larger load is over that support

What is the main concern in designing beams and girders subject to moving loads?

To determine the maximum moment under each load

Why is it important to determine the maximum moment under moving loads?

To ensure the safety of the beam

What is the effect of multiple moving loads on a beam?

It increases the maximum moment

Why is shear force analysis important in designing beams subject to moving loads?

To determine the maximum shear

What is the main consideration in designing beams subject to moving loads?

The maximum moment and shear

Why is it important to consider moving loads in beam design?

To ensure the safety and stability of the beam

Study Notes

Moving Loads

  • Moving loads can cause bending moments and shear forces in beams
  • Maximum moment under a particular load occurs when the center of the beam is midway between that load and the resultant of all the loads on the span

Determining Maximum Moment and Shear

  • Compute the maximum moment under each load
  • Use the largest of these moments for the design
  • Usually, the largest moment occurs under the largest load
  • Maximum shear occurs at the reaction where the resultant load is nearest
  • Sometimes, it is necessary to check the condition when the larger loads are on the span and the rest of the smaller loads are outside

Sample Problems

  • Sample Problem #1: A truck with axle loads of 40KN and 60KN on a wheel base of 5m rolls across a 10m span. Maximum bending moment and maximum shearing force are calculated as 160KNm and 80KN, respectively.
  • Sample Problem #2: A tractor weighing 3,000lb, with a wheel base of 9ft, carries 1,800lb of its load on the rear wheels, crosses a 14ft span. Maximum moment and maximum shear are calculated as 6,380lb-ft and 2,318.5lb, respectively.
  • Sample Problem #3: Three wheel loads roll as a unit across a 44ft span, maximum moment and maximum shear are calculated as 12,736lb-ft and 12,881lb, respectively.

Single Moving Load

  • Maximum moment occurs when the load is at the mid-span
  • Maximum shear occurs when the load is very near the support (usually assumed to lie over the support)

Two Moving Loads

  • Maximum shear occurs at the reaction when the larger load is over that support

Quiz on finding maximum bending moments and shear under multiple moving loads on a beam, following a specific rule for calculation.

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