Check Shear Strength
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Check the shear strength of PSC section in a spreadsheet format table. Table Tool in midas Civil offers a variety of powerful built-in functions. Refer to Usage of Table Tool for detail directions. |
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From the Main Menu select PSC > PSC Design Result Table > Check Shear Strength |
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Upon executing the PSC Design Result Table > Check Shear Strength, Records Activation Dialog prompts. Click after selecting the output entities such as elements, part number, Max./Min. Refer to Usage of Table Tool and check the following data: Revision of Civil 2013 When AASTHO LRFD-12 is selected Shear resistance is computed as per section 5.8 of AASHTO LRFD-12. Elem: Element number Part: Check location (I-End, J-End) of each element Max./Min.: Maximum shear, minimum shear LCom. Name: Load combination name. Type: Displays the set of member forces corresponding to moving load case or settlement load case for which the maximum stresses are produced. If it is not defined then this field is left blank(-) By default, member forces due to moving load case or settlement load case are not concurrent. In order to consider the concurrent member forces, namely, Fx, Fy, Fz, Mx, My and Mz each having its MAX. and MIN value, the program computes FT, FB, FTL, FBL, FTR, FBR for all these twelve sets. For example: FT when Fx due to moving load is maximum is 30 N/mm2 and so on..
The set that results in maximum stress value FT, FB, FTL, FBL, FTR, FBR is displayed under 'Type' and the maximum stress value is displayed under FMAX. So as per above example, maximum stress value is 48, so it is displayed under FMAX, and it is from Fx-MIN set so under Type, Fx-MIN is displayed. All the values of this set will be displayed. CHK: Shear strength check for element Vu: Factored shear force at section Mu: Factored moment at section Vn: Nominal shear resistance at section. The nominal shear resistance, Vn, shall be determined as the lesser of (refer to the clause 5.8.3.3 of AASHTO LRFD12): ▪For non-segmental bridges, (refer to the equation 5.8.3.3-1 and 2 of AASHTO LRFD12) ▪For segmental bridges, (refer to the equation 5.8.6.5-1 and 2 of AASHTO LRFD12) Phi: Resistance factor for shear, Phi = 0.9 Vc: Nominal shear resistance of concrete. (refer to the equation 5.8.3.3-3 of AASHTO LRFD12) ▪For non-segmental bridges, (refer to the equation 5.8.3.3-3 of AASHTO LRFD12) ▪For segmental bridges, (refer to the equation 5.8.6.5-3 of AASHTO LRFD12) Vs: Shear resistance provided by transverse (shear) reinforcement. ▪For non-segmental bridges, (refer to the equation 5.8.3.3-4 of AASHTO LRFD12) ▪For segmental bridges, (refer to the equation 5.8.6.5-4 of AASHTO LRFD12) Vp: shear resistance component in the direction of the applied shear of the effective prestressing force. In midas Civil, shear resistance due to prestressing force, Vp, includes primary prestress force. The secondary effects from prestressing shall be included in the design shear force obtained from the load combinations. PhiVn: Factored shear resistance. For shear strength reduction factor, Φ=0.9 de: Effective depth from extreme compression fiber to the centroid of the tensile force in the tensile reinforcement. dv: Effective shear depth. Effective web width (bv) is taken as web thickness. For PSC multi-cell girder, web thickness can be automatically taken as a summation of thickness for all webs. Also this value can be entered by the user directly in Section properties > PSC tab. ex: Longitudinal strain in the web of the member. theta: Angle of inclination of diagonal compressive stresses. (Refer to the equation 5.8.3.4.2-3 of AASHTO LRFD12) beta: Factor relating effect of longitudinal strain on the shear capacity of concrete, as indicated by the ability of diagonally cracked concrete to transmit tension. (refer to the clause 5.8.3.4.2 of AASHTO LRFD12) ▪For the sections containing at least the minimum amount of transverse reinforcement : ▪When sections do not contain at least the minimum amount of shear reinforcement: Avs: Area of Transverse reinforcement within distance s. Ast: Total area of longitudinal mild steel reinforcement. Al: Area of longitudinal torsion reinforcement in the exterior web of the box girder. bv: Width of web adjusted for the presence of ducts. Avs_min: Minimum area of transverse reinforcement within distance s required. ▪For non-segmental bridges, (refer to the equation 5.8.2.5-1 of AASHTO LRFD12) ▪For segmental bridges, (refer to the equation 5.8.2.5-2 of AASHTO LRFD12) Avs_req: Area of transverse reinforcement required within distance s. ▪ For Vu < 0.5Φ(Vc+Vp) Skip the transverse reinforcement checks. ▪ For Vu ≥ 0.5Φ(Vc+Vp) Al_min: Minimum area of longitudinal torsion reinforcement in the exterior web of the box girder required. bv_min: Minimum width of web adjusted for the presence of ducts required. When AASTHO LRFD-07 is selected Shear resistance is computed as per section 5.8 of AASHTO LRFD-07. Elem: Element number Part: Check location (I-End, J-End) of each element Max./Min.: Maximum shear, minimum shear LCom. Name: Load combination name. Type: Displays the set of member forces corresponding to moving load case or settlement load case for which the maximum stresses are produced. If it is not defined then this field is left blank(-) By default, member forces due to moving load case or settlement load case are not concurrent. In order to consider the concurrent member forces, namely, Fx, Fy, Fz, Mx, My and Mz each having its MAX. and MIN value, the program computes FT, FB, FTL, FBL, FTR, FBR for all these twelve sets. For example: FT when Fx due to moving load is maximum is 30 N/mm2 and so on..
The set that results in maximum stress value FT, FB, FTL, FBL, FTR, FBR is displayed under 'Type' and the maximum stress value is displayed under FMAX. So as per above example, maximum stress value is 48, so it is displayed under FMAX, and it is from Fx-MIN set so under Type, Fx-MIN is displayed. All the values of this set will be displayed. CHK: Shear strength check for element Vu: Factored shear force at section Mu: Factored moment at section Vn: Nominal shear resistance at section Phi: Resistance factor Vc: Nominal shear resistance of concrete. Vs: Shear resistance provided by transverse (shear) reinforcement.. Vp: Component in the direction of applied shear of the effective prestressing force, positive if resisting shear. PhiVn: Factored shear resistance. de: Effective depth from extreme compression fiber to the centroid of the tensile force in the tensile reinforcement. dv: Effective shear depth. ex: Longitudinal strain in the web of the member. theta: Angle of inclination of diagonal compressive stresses. beta: Factor relating effect of longitudinal strain on the shear capacity of concrete, as indicated by the ability of diagonally cracked concrete to transmit tension. Avs: Area of Transverse reinforcement within distance s. Ast: Total area of longitudinal mild steel reinforcement. Al: Area of longitudinal torsion reinforcement in the exterior web of the box girder. bv: Width of web adjusted for the presence of ducts. Avs_min: Minimum area of transverse reinforcement within distance s required. Avs_req: Area of transverse reinforcement required within distance s. Al_min: Minimum area of longitudinal torsion reinforcement in the exterior web of the box girder required. bv_min: Minimum width of web adjusted for the presence of ducts required. Revision of Civil 2013 When CSA-S6S1-2010 is selected Shear resistance is computed as per section 8.9 of CSA-S6S1-2010. Elem: Element number Part: Check location (I-End, J-End) of each element Max./Min.: Maximum shear, minimum shear LCom. Name: Load combination name. Type: Displays the set of member forces corresponding to moving load case or settlement load case for which the maximum stresses are produced. If it is not defined then this field is left blank(-) By default, member forces due to moving load case or settlement load case are not concurrent. In order to consider the concurrent member forces, namely, Fx, Fy, Fz, Mx, My and Mz each having its MAX. and MIN value, the program computes FT, FB, FTL, FBL, FTR, FBR for all these twelve sets. For example: FT when Fx due to moving load is maximum is 30 N/mm2 and so on..
The set that results in maximum stress value FT, FB, FTL, FBL, FTR, FBR is displayed under 'Type' and the maximum stress value is displayed under FMAX. So as per above example, maximum stress value is 48, so it is displayed under FMAX, and it is from Fx-MIN set so under Type, Fx-MIN is displayed. All the values of this set will be displayed. CHK: Shear strength check for element Vf: Maximum shear force obtained from Strength/Stress load combinations Vc: Nominal shear resistance of concrete. (refer to the equation 8.9.3.4 of CSA-S6S1-2010) Vs: Shear resistance provided by transverse (shear) reinforcement. (refer to the equation 8.9.3.5 of CSA-S6S1-2010) Vp: Shear resistance component in the direction of the applied shear of the effective prestressing force. In midas Civil, shear resistance due to prestressing force, Vp, includes primary prestress force. The secondary effects from prestressing shall be included in the design shear force obtained from the load combinations. Vr: Factored shear resistance at section. The nominal shear resistance, Vr, shall be determined as the lesser of (refer to the clause 8.9.3.3 of CSA-S6S1-2010): Ft: Tension resistant force by tensile reinforcements and tendon. (refer to the clause 8.9.3.11 of CSA-S6S1-2010) Fc: Compression resistant force by compressive reinforcements. (refer to the clause 8.9.3.12 of CSA-S6S1-2010) Flt: Tension developed due to bending moment and shear forces. It is verified if tensile reinforcements and tendons are capable enough to resist applied tension induced by bending moment and shear forces. (refer to the clause 8.9.3.11 of CSA-S6S1-2010) Flc: Compression developed due to bending moment and shear forces. It is verified if compressive reinforcements are capable enough to resist applied compression induced by bending moment and shear forces. (refer to the clause 8.9.3.12 of CSA-S6S1-2010) When EUROCODE2-2:05 is selected
Elem: Element number Part: Check location (I-End, J-End) of each element Max./Min.: Maximum shear, minimum shear LCom. Name: Load combination name. Type: Displays the set of member forces corresponding to moving load case or settlement load case for which the maximum stresses are produced. If it is not defined then this field is left blank(-) By default, member forces due to moving load case or settlement load case are not concurrent. In order to consider the concurrent member forces, namely, Fx, Fy, Fz, Mx, My and Mz each having its MAX. and MIN value, the program computes FT, FB, FTL, FBL, FTR, FBR for all these twelve sets. For example: FT when Fx due to moving load is maximum is 30 N/mm2 and so on..
The set that results in maximum stress value FT, FB, FTL, FBL, FTR, FBR is displayed under 'Type' and the maximum stress value is displayed under FMAX. So as per above example, maximum stress value is 48, so it is displayed under FMAX, and it is from Fx-MIN set so under Type, Fx-MIN is displayed. All the values of this set will be displayed. CHK: Shear strength check for element V_Ed: Maximum shear force among Strength/Stress load combinations V_Rd: Shear resistance. V_Rd,c: Shear resistance of concrete. V_Rd,s: Shear resistance of shear reinforcement. V_Rd,max: Maximum V_Rd,s V_Ed/V_Rd: The ratio of shear force to shear resistance. |
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