受压矩形与圆形截面柱截面核心切实实在定(国外英文资料).doc

受压矩形与圆形截面柱截面核心的确定(国外英文资料) The determination of the core of the compression rectangle and the circular cross section Class:name: wang qinghui:instructor: qin xiaotong Abstract: the engineering common components of brittle materials such as brick, concrete, etc.) to its tensile strength is far lower than the compressive strength, under the eccentric compression artifacts often because of the tensile stress and damage, to control the position of the eccentric pressure within the scope of the cross section of the core can avoid the occurrence of tensile stress, this paper calculates the rectangular and circular cross section of the column and the core range. Keywords: core of section; Tensile stress. Eccentric compression x y z F (yF, zF) The formation of the core of the section When the bar is eccentrically compressed, its internal force component is the axial force FN = F, and the bending moment is F · zF and Mz = F yF. The positive stress of any point C (y, z) in the cross section is the sum of the three Sigma = MyIyz FA + + MzIzy Im going to use the radius of inertia Iy = IyA iz = IzA x y z My Mz F Sigma = FA (1 + zFziy2 + yFyiz2) You can see from the formula that the positive stress distribution is a linear function of y and z, and the positive stress sigma is zero, but the neutral axis equation 1 + zFziy2 + yFyiz2 = 0 (1) This line is in y, and the intercept is on the z-axis Ay is equal to -iz2yf From the above, you can see that the neutral axis is away from the center of the center when the eccentric pressure (yF, zF) approaches the center of the center. Therefore, if you want to only have the stress zone in cross section, you need to control the position of the eccentric pressure within a certain range, so that the neutral axis doesnt intersect the cross section. The range of the payload is the area around the cross section, which is called the core of the cross section. The solution of the core of the round cross section The column cross se