Research Article

PROPOSED MATHEMATICAL EQUATION FOR EVALUATING THE RESIDUAL PUNCHING SHEAR CAPACITY OF HIGH-PERFORMANCE CONCRETE SLABS AFTER BEING SUBJECTED TO IMPACT LOADING

Volume: 16 Number: 2 February 3, 2026
  • Ali Adnan Al-Zahid *

PROPOSED MATHEMATICAL EQUATION FOR EVALUATING THE RESIDUAL PUNCHING SHEAR CAPACITY OF HIGH-PERFORMANCE CONCRETE SLABS AFTER BEING SUBJECTED TO IMPACT LOADING

Abstract

The research investigates the validity of high-performance concrete slabs under punching shear after they are exposed to impact load. The importance of this study lies in opening new avenues for researchers regarding slabs subjected to impact loading, specifically addressing whether they can be repaired and strengthened or are more likely to require reconstruction. The experimental program consists of eight slabs with different parameters tested under the same impact loading, and then the punching shear capacity is evaluated. One of these slabs was reinforced by traditional reinforcement, while the other specimens discussed different techniques designed to find alternative modified methods to resist punching shear. Finally, the suggested empirical formula predicts the value of punching shear for high-performance concrete slabs that suffer from impact load. The accuracy of the suggested equation reached 90.5 % from experimental results.

Keywords

References

  1. Wang, L., Cheng, S., Liao, Z., Yin, W., Liu, K., Ma, L., Wang, T., & Zhang, D. (2022). Blast Resistance of Reinforced Concrete Slabs Based on Residual Load-Bearing Capacity. Materials, 15(18), 6449. https://doi.org/10.3390/ma15186449
  2. Zineddin, M., & Krauthammer, T. (2007). Dynamic Response and Behavior of Reinforced Concrete Slabs under Impact Loading. International Journal of Impact Engineering, 34(9), 1517–1534. https://doi.org/10.1016/j.ijimpeng.2006.10.012
  3. Goswami, A., Adhikary, S. D., & Li, B. (2019). Predicting the Punching Shear Failure of Concrete Slabs under Low-Velocity Impact Loading. Engineering Structures, 184, 37–51. https://doi.org/10.1016/j.engstruct.2019.01.081
  4. Sagaseta, J., Olmati, P., Micallef, K., & Cormie, D. (2017). Punching Shear Failure in Blast-Loaded RC Slabs and Panels. Engineering Structures, 147, 177–194. https://doi.org/10.1016/j.engstruct.2017.04.051
  5. Liu, S., Xu, X., Zhou, B., & Yang, K. (2023). Punching Shear Failure Analysis of Reinforced Concrete Slabs under Close-In Explosion. Materials, 16(18), 6339. https://doi.org/10.3390/ma16186339
  6. Murtiadi, S., & Marzouk, H. (2001). Behaviour of High-Strength Concrete Plates under Impact Loading. Magazine of Concrete Research, 53(1), 43–50. https://doi.org/10.1680/macr.53.1.43.39495
  7. Silva, P. F., & Lu, B. (2009). Blast Resistance Capacity of Reinforced Concrete Slabs. Journal of Structural Engineering, 135(10), 1207–1216. https://doi.org/10.1061/(ASCE)ST.1943-541X.0000011
  8. El Zareef, M. A., Abdulrahaman, A. G., & Alnemari, A. (2023). Experimental Investigation of Punching Shear Behaviour of Ultra-High Performance Self-Compacting Concrete Slabs. Case Studies in Construction Materials, 19, e02307. https://doi.org/10.1016/j.cscm.2023.e02307

Details

Primary Language

English

Subjects

Theoretical and Applied Mechanics in Mathematics

Journal Section

Research Article

Authors

Ali Adnan Al-Zahid * This is me
Iraq

Publication Date

February 3, 2026

Submission Date

October 15, 2025

Acceptance Date

December 12, 2025

Published in Issue

Year 2026 Volume: 16 Number: 2

APA
Al-Zahid, A. A. (2026). PROPOSED MATHEMATICAL EQUATION FOR EVALUATING THE RESIDUAL PUNCHING SHEAR CAPACITY OF HIGH-PERFORMANCE CONCRETE SLABS AFTER BEING SUBJECTED TO IMPACT LOADING. TWMS Journal of Applied and Engineering Mathematics, 16(2), 296-304. https://izlik.org/JA58MJ37RD
AMA
1.Al-Zahid AA. PROPOSED MATHEMATICAL EQUATION FOR EVALUATING THE RESIDUAL PUNCHING SHEAR CAPACITY OF HIGH-PERFORMANCE CONCRETE SLABS AFTER BEING SUBJECTED TO IMPACT LOADING. JAEM. 2026;16(2):296-304. https://izlik.org/JA58MJ37RD
Chicago
Al-Zahid, Ali Adnan. 2026. “PROPOSED MATHEMATICAL EQUATION FOR EVALUATING THE RESIDUAL PUNCHING SHEAR CAPACITY OF HIGH-PERFORMANCE CONCRETE SLABS AFTER BEING SUBJECTED TO IMPACT LOADING”. TWMS Journal of Applied and Engineering Mathematics 16 (2): 296-304. https://izlik.org/JA58MJ37RD.
EndNote
Al-Zahid AA (February 1, 2026) PROPOSED MATHEMATICAL EQUATION FOR EVALUATING THE RESIDUAL PUNCHING SHEAR CAPACITY OF HIGH-PERFORMANCE CONCRETE SLABS AFTER BEING SUBJECTED TO IMPACT LOADING. TWMS Journal of Applied and Engineering Mathematics 16 2 296–304.
IEEE
[1]A. A. Al-Zahid, “PROPOSED MATHEMATICAL EQUATION FOR EVALUATING THE RESIDUAL PUNCHING SHEAR CAPACITY OF HIGH-PERFORMANCE CONCRETE SLABS AFTER BEING SUBJECTED TO IMPACT LOADING”, JAEM, vol. 16, no. 2, pp. 296–304, Feb. 2026, [Online]. Available: https://izlik.org/JA58MJ37RD
ISNAD
Al-Zahid, Ali Adnan. “PROPOSED MATHEMATICAL EQUATION FOR EVALUATING THE RESIDUAL PUNCHING SHEAR CAPACITY OF HIGH-PERFORMANCE CONCRETE SLABS AFTER BEING SUBJECTED TO IMPACT LOADING”. TWMS Journal of Applied and Engineering Mathematics 16/2 (February 1, 2026): 296-304. https://izlik.org/JA58MJ37RD.
JAMA
1.Al-Zahid AA. PROPOSED MATHEMATICAL EQUATION FOR EVALUATING THE RESIDUAL PUNCHING SHEAR CAPACITY OF HIGH-PERFORMANCE CONCRETE SLABS AFTER BEING SUBJECTED TO IMPACT LOADING. JAEM. 2026;16:296–304.
MLA
Al-Zahid, Ali Adnan. “PROPOSED MATHEMATICAL EQUATION FOR EVALUATING THE RESIDUAL PUNCHING SHEAR CAPACITY OF HIGH-PERFORMANCE CONCRETE SLABS AFTER BEING SUBJECTED TO IMPACT LOADING”. TWMS Journal of Applied and Engineering Mathematics, vol. 16, no. 2, Feb. 2026, pp. 296-04, https://izlik.org/JA58MJ37RD.
Vancouver
1.Ali Adnan Al-Zahid. PROPOSED MATHEMATICAL EQUATION FOR EVALUATING THE RESIDUAL PUNCHING SHEAR CAPACITY OF HIGH-PERFORMANCE CONCRETE SLABS AFTER BEING SUBJECTED TO IMPACT LOADING. JAEM [Internet]. 2026 Feb. 1;16(2):296-304. Available from: https://izlik.org/JA58MJ37RD