CheerfulJuxtaposition
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## 10 Questions

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 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.

• 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)

• 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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