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body | --uriencoded--$$ \normalsize V_n = 0.6 F_y A_w C_v & \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad\qquad \qquad \qquad \qquad (G2-1) \\ V_n = 0.6 F_y b t C_%7Bv2%7D &\qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad (10.15) $$ |
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Yatay Kesme Kontrolü
Petek kiriş gövdesine gelen kesme kuvveti denge denklemi kullanılarak hesaplanır ve kayma dayanımı hesaplanarak karşılaştırılır.
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body | --uriencoded--$$ \normalsize V_u = F_1 - F_2 = \frac %7BV_1+V_2%7D%7B2%7D \frac %7Bs%7D%7Bd%7D $$ |
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body | $$ \normalsize V_n = 0.6 F_y A_w C_v & \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad\qquad \qquad \qquad \qquad (G2-1) $$ |
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Vierendeel Kontrolü
Eksenel Kuvvet ve İki Eksenli Eğilme Etkisi
Petek kiriş boşluğunun üzerinde bulunan T kesite gelen etkiler denge denklemleri yardımı ile bulunur. Bu kuvvetler hesaplanırken statik analizde bulunan iç kuvvet diyagramları kullanılır.
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Eksenel Kuvvet
T kesitin eksenel basınç dayanımı aşağıdaki gibi hesaplanmaktadır.
The nominal compressive strength, Pn, shall be determined based on the limit state of flexural buckling.
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body | --uriencoded--$$ \normalsize \qquad \qquad \qquad \qquad P_n = F_%7Bcr%7DA_g & \qquad \qquad \qquad \qquad \qquad \quad \qquad \qquad \qquad \qquad \qquad \qquad \qquad (E3-1) $$ |
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The critical stress, Fcr, is determined as follows:
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body | --uriencoded--$$ \normalsize \text %7B(a) When %7D \frac%7BKL%7D%7Br%7D \leq 4.71 \sqrt%7B \frac %7BE%7D%7BF_y%7D%7D \qquad ( \text%7Bor%7D \; \frac%7BF_y%7D%7BF_e%7D \leq 2.25) \\ \qquad \qquad \qquad \qquad F_%7Bcr%7D = \left [ 0.658%5e%7B\frac%7BF_y%7D%7BF_e%7D%7D\right ] F_y & \qquad \qquad \qquad \qquad \qquad \quad \qquad \qquad \qquad \qquad (E3-2) \\ \text %7B(b) When %7D \frac%7BKL%7D%7Br%7D > 4.71 \sqrt%7B \frac %7BE%7D%7BF_y%7D%7D \qquad ( \text%7Bor%7D \; \frac%7BF_y%7D%7BF_e%7D > 2.25) \\ \qquad \qquad \qquad \qquad F_%7Bcr%7D = 0.877F_e & \qquad \qquad \qquad \qquad \qquad \quad \qquad \qquad \qquad \qquad (E3-3) $$ |
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where
Fe = elastic buckling stress determined according to Equation E3-4, as specified in Appendix 7, Section 7.2.3(b), or through an elastic buckling analysis, as applicable, ksi (MPa)
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body | --uriencoded--$$ \normalsize \qquad \qquad \qquad \qquad F_%7Be%7D = \frac %7B\pi%5e2E%7D%7B \left( \frac%7BKL%7D%7Br%7D \right)%5e2%7D & \qquad \qquad \qquad \qquad \qquad \quad \qquad \qquad \qquad \qquad \qquad \qquad \qquad (E3-4) $$ |
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body | --uriencoded--$$ \normalsize P_n = F_%7Bcr%7DA_%7Bg%7D & \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \quad \; \; (8.1) $$ |
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Burada, kritik burkulma gerilmesi, Fcr, Denk. (8.2) veya Denk.(8.3) ile elde edilecektir.
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body | --uriencoded--$$ \normalsize \frac%7BL_c%7D%7Bi%7D \leq 4.71 \sqrt%7B \frac %7BE%7D%7BF_y%7D%7D \qquad ( \text%7Bveya%7D \; \frac%7BF_y%7D%7BF_e%7D \leq 2.25) \text%7B için%7D \\ \qquad \qquad \qquad \qquad F_%7Bcr%7D = \left [ 0.658%5e%7B\frac%7BF_y%7D%7BF_e%7D%7D\right ] F_y & \qquad \qquad \qquad \qquad \qquad \quad \qquad \qquad \qquad \qquad \qquad \qquad (8.2) \\ \frac%7BL_c%7D%7Bi%7D > 4.71 \sqrt%7B \frac %7BE%7D%7BF_y%7D%7D \qquad ( \text%7Bveya%7D \; \frac%7BF_y%7D%7BF_e%7D > 2.25) \text%7B için%7D \\ \qquad \qquad \qquad \qquad F_%7Bcr%7D = 0.877F_e & \qquad \qquad \qquad \qquad \qquad \quad \qquad \qquad \qquad \qquad \qquad \qquad (8.3) $$ |
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Eğilme Momenti
T kesitin kuvvetli eksende eğilme dayanımı AISC 360-10 bölüm F9 ve YTÇY bölüm 9.9 a göre yapılmaktadır.
1. Yielding
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body | --uriencoded--$$ \normalsize \qquad \qquad \qquad \qquad M_n = M_p & \qquad \qquad \qquad \qquad \qquad \quad \qquad \qquad \qquad \qquad \qquad \qquad (F9-1) \\ \text %7Bwhere%7D \\ \quad \text %7B(a) For stems in tension%7D \\ \qquad \qquad \qquad \qquad M_p = F_yZ_x \leq 1.6M_y & \qquad \qquad \qquad \qquad \qquad \quad \qquad \qquad \qquad \qquad \qquad \qquad (F9-2) \\ \quad \text %7B(b) For stems in compression%7D \\ \qquad \qquad \qquad \qquad M_p = F_yZ_x \leq M_y & \qquad \qquad \qquad \qquad \qquad \quad \qquad \qquad \qquad \qquad \qquad \qquad (F9-3) $$ |
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2. Lateral-Torsional Buckling
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body | --uriencoded--$$ \normalsize \qquad \qquad \qquad \qquad M_n = M_%7Bcr%7D = \frac%7B\pi \sqrt %7BEI_yGJ%7D%7D%7BL_b%7D \left( B+ \sqrt%7B1+B%5e2%7D \right) & \qquad \qquad \qquad \qquad \qquad \quad \qquad \qquad \; (F9-4) \\ \text %7Bwhere%7D \\ \qquad B = \pm 2.3 \left ( \frac%7Bd%7D%7BL_b%7D \right ) \sqrt%7B \frac%7BI_y%7D%7BJ%7D%7DF_yZ_x \leq 1.6M_y & \qquad \qquad \qquad \qquad \qquad \quad \qquad \qquad \; (F9-5) $$ |
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