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Related Concept Videos

Design of Prismatic Beams for Bending01:23

Design of Prismatic Beams for Bending

646
The design of prismatic beams, structural elements with a uniform cross-section, focuses on ensuring safety and structural integrity under load. The design process begins by determining the allowable stress, either from material properties tables, or by dividing the material's ultimate strength by a safety factor. This safety factor is essential for accommodating uncertainties, and varies depending on the material—timber, steel, or concrete—with each having unique strength and...
646
Prismatic Beams: Problem Solving01:15

Prismatic Beams: Problem Solving

495
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...
495
Deflection of a Beam01:19

Deflection of a Beam

794
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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Updated: Feb 20, 2026

Indoor Experimental Assessment of the Efficiency and Irradiance Spot of the Achromatic Doublet on Glass ADG Fresnel Lens for Concentrating Photovoltaics
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Compact, semi-passive beam steering prism array for solar concentrators.

Cheng Zheng, Qiyuan Li, Gary Rosengarten

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    Summary
    This summary is machine-generated.

    This study introduces a semi-passive prism array for solar collectors, enhancing energy capture in limited spaces. This innovation boosts efficiency and extends working hours for rooftop solar systems.

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    Area of Science:

    • Solar Energy Engineering
    • Optical Systems Design

    Background:

    • Maximizing solar energy capture in space-constrained environments, like rooftops, necessitates solar tracking.
    • Traditional rotational tracking systems can be complex and may not suit low-profile applications.

    Purpose of the Study:

    • To present a compact, semi-passive beam steering prism array as an alternative to conventional solar tracking.
    • To evaluate the performance of this prism array for solar applications, particularly for linear concentrators.

    Main Methods:

    • Design and analysis of a novel prism array for beam steering.
    • Integration and testing of the prism array within a rooftop solar collector system.
    • Case study to quantify efficiency improvements and extended operational time.

    Main Results:

    • The prism array allows linear concentrator systems to remain stationary, ideal for low-profile installations.
    • A case study demonstrated a 32.7% increase in average daily optical efficiency for a rooftop solar collector.
    • The effective working time of the collector was extended from 6 hours to 7.33 hours.

    Conclusions:

    • The proposed semi-passive prism array offers a viable alternative to rotational tracking for solar energy systems.
    • This technology is particularly beneficial for rooftop-mounted systems and various solar thermal and photovoltaic concentrators.
    • The design enhances solar energy utilization by improving optical efficiency and operational duration.