The built-up beam shown is made by gluing together two 20 ×250-mm plywood strips and two 50 ×100

step 1 here let's find the y coordinate of centroid so y dash will be 20 plus 80 upon 2 so that will be

The built-up beam shown is made by gluing together two 20...

The built-up beam shown is made by gluing together two $20 \times 250-\mathrm{mm}$ plywood strips and two $50 \times 100-\mathrm{mm}$ planks. Knowing that the allowable average shearing stress in the glued joints is 350 kPa, determine the largest permissible vertical shear in the beam.

Key Concepts

Allowable Shear Stress

Allowable shear stress represents the maximum shear stress that the material or joint can reliably endure without failure. In the context of glued joints in composite beams, it is a critical design parameter used to limit the applied shear force such that the stress in the adhesive interfaces does not exceed this predetermined safe value.

Glued Joints in Composite Structures

In composite or built-up beams, glued joints are used to connect different layers or components so they behave as a single unit. The performance of these joints is crucial because their shear capacity determines the effectiveness of the composite action. Understanding the behavior of the adhesive layer under load, including the development of shear flow at the interface, is central to ensuring the structural integrity of the beam.

Composite Beam Analysis

This concept involves analyzing beams that are constructed by combining multiple components (or layers) to act together as a single unit. It requires understanding how different materials or sections contribute to the overall bending and shear behavior of the beam and how their individual properties are transformed and combined to meet design requirements.

Shear Stress in Beams

Shear stress in beams is the internal force per unit area that resists sliding between adjacent sections of the beam under an applied load. The distribution of shear stress is not uniform and is critical in determining the beam's capacity to carry vertical loads, especially in regions of high shear such as near supports or at points of load application.

Transcript

Please give Ace some feedback