- 软件图标 (Program ICON)
- 引言(Introduction)
上一篇博文《Mander Confined Concrete Model 资料整理》总结了Mander模型参数的计算方法,其中该模型十分关键的一个参数为约束混凝土的峰值强度fcc’。关于fcc’的确定,Mander模型原文(Ref. 1)给出的方法为:首先确定两个方向的约束系数,然后通过查图得到约束强度系数(Confined Strength Ratio),进而得到fcc’(博文《Mander Confined Concrete Model – Confined Strength Ratio [Mander混凝土本构约束强化系数]》也提到),不方便使用。
原文给出的约束强度系数(Confined Strength Ratio – fcc’/fco’)图:
为此,编制小程序计算Mander模型的约束强度系数,程序如下图所示。
- 程序功能(Program Features):
程序通过输入两个方向的有效约束系数,计算Mander混凝土模型的约束强度系数,省去查图的过程,方便平时做数值模拟。
This program is for calculation of the Confined Strength Ratio of Mander Confined Concrete Model proposed by Mander in 1988.
- 实例(Examples):
(1)柱子非约束混凝土强度fco’ = 30Mpa,两个方向的约束应力为flx’ = 2.7Mpa,fly’ = 5.1Mpa,求约束混凝土的峰值强度fcc’。(Consider a column with an unconfined strength of fco’=30Mpa and confinning stresses in two direction are flx’= 2.7Mpa and fly’ = 5.1Mpa respectively,calculate the compressive strength fcc’ of the confined concrete)
约束系数计算( Confinning stresse ratio ):
flx’/fco’ = 2.7/30 = 0.09;
fly’/fco’ = 5.1/30 = 0.17;
软件计算过程(Get Confined Strength Ratio by Software):
输入两个方向的约束应力系数,点击“Calculate”按钮。(Input the confinning stresse ratio in two direction and press the ‘Calculate‘ button.
约束混凝土强度系数(Confined Strength Ratio):
fcc‘/fco’ = 1.6515760
约束混凝土强度(compressive strength fcc’ ):
fcc‘ = 1.651576 × 30 = 49.55 Mpa
读图(Get Confined Strength Ratio from Figure):
(2)柱子非约束混凝土强度fco’ = 30Mpa,两个方向的约束应力为flx‘ = 3.0Mpa,fly’ = 8.4Mpa,求约束混凝土的峰值强度fcc’。(Consider a column with an unconfined strength of fco’=30Mpa and confinning stresses in two direction are flx’= 3.0Mpa and fly’ = 8.4Mpa respectively,calculate the compressive strength fcc’ of the confined concrete)
约束系数计算( Confinning stresse ratio ):
flx’/fco’ = 3.0/30 = 0.1;
fly’/fco’ = 8.4/30 = 0.28;
软件计算过程(Get Confined Strength Ratio by Software):
输入两个方向的约束系数,点击“Calculate”按钮。(Input the confinning stresse ratio in two direction and press the ‘Calculate‘ button.)
约束混凝土强度系数(Confined Strength Ratio):
fcc‘/fco’ = 1.7971448
约束混凝土强度(compressive strength fcc’ ):
fcc‘= 1.7971448 × 30 = 53.91 Mpa
读图(Get Confined Strength Ratio from Figure):
- 程序下载(Program Download)
该软件已经更新到2019版,获得方法请查看这个网页:[软件][更新][混凝土][科研]2019版 MCSR:Mander Confined Strength Ratio Calculator [2019版Mander混凝土约束强化系数计算工具]
- 参考文献(Reference):
[01] Mander J B, Priestley M J N, Park R. Theoretical stress-strain model for confined concrete[J]. Journal of Structural Division,ASCE. 1988, 114(8): 1804-1826.
- 相关博文(Related Posts):
[01] Mander Confined Concrete Model 资料整理
[02] Mander Confined Concrete Model – Confined Strength Ratio [Mander混凝土本构约束强化系数]
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