85 □ Flexure of reinforced concrete beams钢筋混凝土梁的性能
The design moment strength of the section is obtained by taking moment about the centriod of the tension reinforcement and is given by
这段的弯矩值是对受拉钢筋形心取距而得到的,其值为:
?Mn??[cc(d?a/2)?Cs(d?d')]/12
?0.9[345.4(27?4.23/2)?215.8(27?2)]/12 ?103 k3ip fseet3.2.3 Flanged section with tension reinforcement only(仅配置受拉钢筋的T型截面梁) A flanged member, with a flange width b, may be designed as a rectangular beam when the depth of the equivalent stress block is less than the flange thickness. 当受压区高度小于翼缘的厚度时,翼缘宽度为b的T型截面梁的设计可当作矩形截面梁来设计。
The depth of the stress block given by 受压区高度为: a?Asfy/0.85fc'b?1.18?d where ? may be determined from Table 3-2 using the calculated value of Mu/fc'bd2. 式中?是由表3-2利用Mu/fc'bd2.来确定的
The required reinforcement ratio, corresponding toMu, is given by在Mu作用下,其所需的配筋率为:
???fc'/fy
and the required area of tension reinforcement is 和所需的受拉钢筋的截面面积为: As??bd
When the depth of the equivalent stress block equals the flange thickness, the design moment strength of the section is given by 当受压区高度等于翼缘的厚度时,其弯矩设计值为:,
?Mn?0.85?fc'bhf(d?hf/2)?0.765fbhf(d?hf/2)'c
and the corresponding area of tension reinforcement is和相应的受拉钢筋的截面面积为: As?0.85fc'bhf/fy
The conditions a ultimate load in a flanged member, when the depth of the equivalent rectangular stress block exceeds the flange thickness, are shown in Figure 3-7. The area of reinforcement required to balance the compressive force in the outstanding flanges is given by
当矩形截面受压区高度大于T型截面的翼缘厚度时,T型截面梁的最终荷载由图3-7所示。
86 □ Flexure of reinforced concrete beams钢筋混凝土梁的性能
为平衡翼缘超出的压力,其所需的钢筋截面面积为:
Asf?Cf/fy?0.85fc'hf(b?bw)/fy
The corresponding design moment strength of the outstanding flanges is超出翼缘部分的相应弯矩值为:
Mf??Asffy(d?hf/2)
The residual moment to be developed by the beam web is 由梁来承担的剩余弯矩为: Mf?Mu?Mf
The required reinforcement ratio to provide the residual moment is其所需的配筋率为: ?w?0.85fc'[1?(1?Kw0.383fc')0.5]/fy where 式中 Kw?Mr/bwd2
The corresponding reinforcement area required to developed the residual moment is 来抵抗剩余弯矩的相应的钢筋截面面积为: Asw?bwd?w
Figure 3-7 Flanged member with tension reinforcement
图3-7 在拉力作用下的T型截面梁
Alternatively, the value of ?wmay be determined from Table 3-2 using the calculated value of
Mr/fc'bwd2.The corresponding reinforcement area required to developed the residual moment is 其中?w是由表3-2利用式Mr/fc'bwd2来确定的,来抵抗剩余弯矩的相应的钢筋截面面积为: Asw??wbwdfc'/fy
The total reinforcement area required is 钢筋总面积为: As?Asf?Asw
The total reinforcement ratio is ??As/bd钢筋的总配筋率为: The maximum allowable reinforcement ratio is given by Section 10.3.3 as 由10.3.3小节可知,最大配筋率为:
' ?max?0.75bw(?b??f)/b
Where式中 ?f?Asf/bwd
87 □ Flexure of reinforced concrete beams钢筋混凝土梁的性能
and 和
0.75?b??max ?0.75?0.85?87,000?1fc'/fy(87,000?fy)
is the maximum allowable reinforcement ratio for a rectangular section which may be obtained from Table 3-3
.由表3-3可得,对矩形截面梁而言,配筋率已是最大值。