Introduction to three hinged stiffening girder Concept and Numerical - Introduction to 3HingedArches

TL;DR

This content provides an analysis of three-inch stiffening girders on suspension bridges, including calculations for reactions, shear force, bending moment, and maximum tension in the cable.

Transcript

hello students let us start with introduction to three inch stiffening girdles so we are going to cover a small concept and a numerical problem on this topic okay so coming to this particular uh diagram here you can see or three hinged stiffening girder over here so consider uh here you can see consider a cable okay consider a suspension cable whic... Read More

Key Insights

• 🤌 Three-inch stiffening girders on suspension bridges consist of cables, girders, and hangers.
• ❓ Reactions, shear force, and bending moment can be calculated at different sections of the girder.
• ❓ The uniformly distributed load contributes to the bending moment and shear force in the girder.
• 🚥 The maximum tension in the cable depends on the horizontal thrust and the vertical reaction forces.

Questions & Answers

Q: What is a three-inch stiffening girder on a suspension bridge?

A three-inch stiffening girder is a structural element consisting of cables and girders connected by hangers, with three hinges located at the ends and center.

Q: How is the uniformly distributed load calculated in a three-inch stiffening girder?

The uniformly distributed load is calculated by multiplying the weight of the load per unit length by the length of the girder.

Q: How is the shear force at a specific section of the girder calculated?

The shear force at a section is calculated by determining the reaction forces at the supports and accounting for the external load and the internal uniformly distributed load.

Q: What is the maximum tension in the cable of a three-inch stiffening girder?

The maximum tension in the cable can be found by calculating the horizontal thrust and using it to determine the maximum tension using the equation: maximum tension = √(vertical reaction^2 + horizontal thrust^2).

Summary & Key Takeaways

• The content explains the concept of three-hinged stiffening girders on suspension bridges, which consist of cables and girders connected by hangers.

• It discusses the calculation of reactions, shear force, and bending moment at different sections of the girder.

• A numerical problem is presented, where the maximum tension and slope in the cable are determined based on the given loads and span of the girder.