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Beams

Beams

Beams are integral components of structural engineering and construction, designed to support loads applied at various points along their length. These long, straight members can be classified based on geometry, cross-section, support type, and equilibrium condition.
Based on geometry, beams can be straight, tapered, or curved. Straight beams are the most common type and have a constant cross-section throughout their length. Tapered beams, on the other hand, have a varying cross-section along...

Beams with Unsymmetric Loadings

Beams with Unsymmetric Loadings

Analyzing a supported beam under unsymmetrical loadings is essential in structural engineering to understand how beams respond to varied force distributions. This analysis involves calculating the deflection and identifying points where the slope of the beam is zero, which are crucial for ensuring structural stability and functionality.
The first moment-area theorem determines the slope at any point on the beam. This theorem indicates that the change in slope between two points on a beam...

Beams with Symmetric Loadings

Beams with Symmetric Loadings

The moment-area method is an analytical tool used in structural engineering to determine the slope and deflection of beams under various loads. Consider a cantilever with a concentrated load and moment at the free end. The first step is constructing a free-body diagram to calculate the reactions at the fixed end. Next, the bending moment diagram is plotted to visualize how the bending moment varies along the beam's length, focusing on points where the bending moment equals zero.
The M/EI...

Prismatic Beams: Problem Solving

Prismatic Beams: Problem Solving

In the design of a supported timber beam subjected to a distributed load, both the beam's physical dimensions and the timber's characteristics, such as its grade and species, are critical. These factors determine the allowable stress values, which are crucial for calculating the necessary beam depth to ensure structural integrity and safety.
The design begins with analyzing the beam as a free body to identify moments and force balances, thereby determining support reactions. Next, the designer...

Impact Loading on a Cantilever Beam

Impact Loading on a Cantilever Beam

The analysis of a cantilever beam with a circular cross-section subjected to impact loading at its free end illustrates the conversion of potential energy from a dropped object into kinetic energy, which is then absorbed by the beam as strain energy. This process is crucial for understanding how materials behave under dynamic loads, which is important in fields such as construction and aerospace.
When an object is dropped onto the free end of a cantilever, its potential energy due to gravity is...

Deflection of a Beam

Deflection of a Beam

Accurately determining beam deflection and slope under various loading conditions in structural engineering is crucial for ensuring safety and structural integrity. Singularity functions offer a streamlined approach to analyzing beams, especially when multiple loading functions complicate the bending moment equation.
Singularity functions, described in an earlier lesson, are powerful mathematical tools that represent discontinuities within a function commonly encountered in structural loading...

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Related Experiment Video

Updated: Jun 14, 2026

Using Synchrotron Radiation Microtomography to Investigate Multi-scale Three-dimensional Microelectronic Packages

Using Synchrotron Radiation Microtomography to Investigate Multi-scale Three-dimensional Microelectronic Packages

Published on: April 13, 2016

BEAMS Lab at MIT: Status report.

Rosa G Liberman¹, Paul L Skipper, Steven R Tannenbaum

¹BEAMS Lab, Department of Biological Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139, USA.

Nuclear Instruments & Methods in Physics Research. Section B, Beam Interactions with Materials and Atoms

|April 13, 2010

Summary

This summary is machine-generated.

The Biological Engineering Accelerator Mass Spectrometry (BEAMS) Lab enhanced its radiocarbon and tritium AMS systems. These upgrades improve sample injection, tritium detection, and overall system operation for life sciences research.

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Quantification of Hydrogen Concentrations in Surface and Interface Layers and Bulk Materials through Depth Profiling with Nuclear Reaction Analysis

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Last Updated: Jun 14, 2026

Using Synchrotron Radiation Microtomography to Investigate Multi-scale Three-dimensional Microelectronic Packages

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Assessment of Motor Balance and Coordination in Mice using the Balance Beam

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Published on: March 10, 2011

Quantification of Hydrogen Concentrations in Surface and Interface Layers and Bulk Materials through Depth Profiling with Nuclear Reaction Analysis

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Published on: March 29, 2016

Area of Science:

Biological Engineering
Analytical Chemistry
Radiochemistry

Background:

The Biological Engineering Accelerator Mass Spectrometry (BEAMS) Lab focuses on integrating Accelerator Mass Spectrometry (AMS) into life sciences.
The lab utilizes a compact AMS instrument suitable for standard laboratory spaces.
Current research centers on radiocarbon and tritium AMS.

Purpose of the Study:

To present recent developments and upgrades at the BEAMS Lab.
To improve key stages of the AMS measurement process.
To enhance the application of AMS in life sciences research.

Main Methods:

Development of an improved carbon sample injection interface.
Implementation of simultaneous tritium and hydrogen detection.
Optimization of the overall AMS system operation.

Main Results:

Successful upgrades to the carbon sample injection interface.
Demonstration of simultaneous tritium and hydrogen detection capabilities.
Enhanced overall performance and efficiency of the AMS system.

Conclusions:

The implemented upgrades significantly improve the BEAMS Lab's AMS capabilities.
These advancements facilitate more robust and efficient radiocarbon and tritium AMS for life sciences.
The BEAMS Lab continues to advance AMS technology for biological applications.