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Mechanics of Structures and Their Analysis
Published in P.K. Jayasree, K Balan, V Rani, Practical Civil Engineering, 2021
P.K. Jayasree, K Balan, V Rani
Shear stresses vary quadratically from the neutral axis to the distance y1. The maximum shear stress on the neutral axis is nil on the top and underside surfaces of the beam. The max shear stress for a rectangular cross section is as follows: τ=3V2Amax
Metal-Laminated Fabric Substrates and Flexible Textile Interconnection
Published in Katsuyuki Sakuma, Krzysztof Iniewski, Flexible, Wearable, and Stretchable Electronics, 2020
Kyung-Wook Paik, Seung-Yoon Jung
The neutral axis theory was used to predict the bending stress of the Cu electrodes on the fabric substrates. When the structure was bent, outer bent region was under a tensile stress while inner region under a compressive stress. The neutral axis is the plane or axis of the structure where no tensile or compressive stress is applied. The neutral axis position (yN) of the multilayered composites can be calculated using the following equation, yN=∑Ei×yi×ti∑Ei×ti
Introduction
Published in M. Rashad Islam, Civil Engineering Materials, 2020
The developed bending stress increases as the distance from the neutral axis increases; thus the maximum bending stress occurs at the extreme fiber of the beam. The maximum tensile bending stress can be calculated as shown in Eq. 1.18. σb=McI
Integrating Finite Element Modeling with Sensing System for Monitoring Composite Structures Using the Method of Neutral Axis
Published in Structural Engineering International, 2019
The method of neutral axis is a strain-based structural health monitoring (SHM) method for damage detection in monitored structures.1 Neutral axis is a universal parameter in beam-like structures identified by the location of zero strain in a cross-section under loading. When no axial force is present, the neutral axis passes through the centroid of stiffness of the cross-section. For a given undamaged structure with known information on the material stiffness and geometric properties, the “healthy” position of the centroid of stiffness and the neutral axis can be determined.1 The general expression for calculating the location of the centroid of stiffness in concrete composite structures is shown in Eqs (1) and (2), where ycentroid is vertical distance of the centroid from the bottom of the composite structure; ni represents the ratio of Young’s modulus (Ei) between a structural element and that of concrete; Ai and yi are the cross-sectional area and centroid of each structural element to the bottom of the composite structure, respectively.2where,
Extracting a characteristic value concerning metal-composite-hybrids – identification of the relevant testing method
Published in The Journal of Adhesion, 2019
In addition, designing a testing method needs knowledge in material with heterogonous properties especially during bending tests. Hereby, the beam theory is relevant while the beam is loaded with tension and compression. The neutral axis, the point where both loads equalise each other, is no load and the beam is neither extended (tension) nor shortened (compression). Compounds with different properties, e.g., varying modulus of elasticity across the cross-section, have a leap in the stress diagram at the point of the neutral axis (Figure 1). The point where the force transmission is, do not necessarily conform with the neutral axis. However, the joint zone should ensure a slip-free force transmission to calculate the overall stiffness. [24]
Shear strength evaluation in the existance of axial compressive loads for reinforced concrete beams
Published in HBRC Journal, 2021
Mohamed S. Issa, Ahmed A. El-Abbasy
The bending and compression points are obtained for three strain cases. The ultimate strain of concrete, which is 0.003, is assumed for the three points. One of the points is when the geometric centroid of the composite cross-section lies on the neutral axis. In this case, they assume that the steel section is in the elastic range and the stress in concrete is nonlinear and is represented by the rectangular stress block. The effective height coefficient β and the effective strength coefficient α are calculated using the following equations.