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EN 1995-1-1: Querdruckbeiwert von BSH bei verteilter Last 31 Jul 2025 14:58 #84626

Guten Tag zusammen,

lt. der EN 1995-1-1 /B1995-1-1, Abs. 6.1.5(4) heißt es wie folgt:

"Für Bauteile auf Einzelabstützungen, die durch verteilte Lasten und/oder Einzellasten, die weiter 
als l1 = 2 h von der Abstützung entfernt sind, beansprucht werden, siehe Bild 6.2(b), ist in der Regel der 
Wert für kc,90 anzunehmen
"
-> k_c,90 = 1.75 bei BSH
dazu folgende Abbildung zur Einzelabstützung:
[img]data:image/png;base64,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[/img]

Meine Frage ist nun: wenn ich eine verteilte Last habe die über das Auflager geht, wie in dieser Abbildung gezeigt
[img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAhcAAAG8CAIAAADiiBCvAAAgAElEQVR4Ae3daaxc10HA8ec4dpw6jtO42dNmT02a2GnTNHubPU68TTx8AAqIrWKRKB9YJBCrWMQq+ABfSoEPLCoIxCK2SkBBKqigQlsVQUuhLXRNF0/y7Genjt97lEw8XN/73ryZc+5+flGlvjdvzp17fu+c+78TT5KFVX8RIECAAIFQgYXQgcYRIECAAIFVFbEICBAgQCBcQEXC7YwkQIAAARWxBggQIEAgXEBFwu2MJECAAAEVsQYIECBAIFxARcLtjCRAgAABFbEGCBAgQCBcQEXC7YwkQIAAARWxBggQIEAgXEBFwu2MJECAAAEVsQYIECBAIFxARcLtjCRAgAABFbEGCBAgQCBcQEXC7YwkQIAAARWxBggQIEAgXEBFwu2MJECAAAEVsQYIECBAIFxARcLtjCRAgAABFbEGCBAgQCBcQEXC7YwkQIAAARWxBggQIEAgXEBFwu2MJECAAAEVsQYIECBAIFxARcLtjCRAgAABFbEGCBAgQCBcQEXC7YwkQIAAARWxBggQIEAgXKCcinxw717/I0CAAIF6BMIv+RWMVBH9I0CAQMcEKmhB+CFVpGOrp547Ha9CgECbBcIv+RWMVBEVIUCAQMcEKmhB+CFVpGOrp833R86NAIF6BMIv+RWMrKQio+GgDf9bOPuvNpyScyBAgECAQC5OFbQg/JAq0orgBawqQwgQSEdARZq5Up/9VmQhnQVnpgQI9ExARVSkGYGebaRyp+Mmo1xPR6tUQEWauYa6TFS6rLt+cMuj67/BpM5fRVSkGYGkttm8k1WRecU8v0EBFWnmGuoy0eCib/9LWx7t/x05w4mAiqhIMwKTJeiLooCK5EyA5EBa9a2KNHMNtSty2wBIFoRGVmM0HADJgbTqWxVRkWYEctvAZSILQiOroSI5jbZ9qyLNXENdJnI7AUgWhEZWQ0VyGuNv27NIVERFmhHIbYz2bInciTXyLY0cO5AcSKvKqiLNXEPtityuAJIFoZHVaNUVM3diDX7bnkWiIirSjEBu+7VnS+ROrJFvaeTYgeRAWlVWFWnmGmpX5HYFkCwIjaxGq66YuRNr8Nv2LBIVUZFmBHLbrz1bIndijXxLI8cOJAfSqrKqSDPXULsityuAZEFoZDVadcXMnViD37ZnkaiIijQjkNt+7dkSuRNr5Nteahw9cviZpw+FeZYF8szTh44eORx2Dm0bVZZJ/LxUpJlraHtWQPwaKuUIQLKM/dN418MP3rXr4rfefGN2mrN/XRbId9504127Ln7Xww/O/tLVPTMmq2W9PyslqyqiIs0I5DZnWZeJ3GE7+m2fND60f9+br3nVeEbnbtr03iceDfillALy3icePXfTpvGhvvbaV314/76AMylrSGRWy6pIKVlVkWauoaXsirIWdBuOAyT7W+iNxqcHB19x3tbsdPZdcXl2pjN+nT3CwkLgfxv0icsvzx7nkvPO+8zg4IwnUOLTSslqKRUpK6sqoiLlCPTm7XmJ14vgQ2UvdsEXzeBXL3fg9+5+dW46f3D/vfO+RO4I8w4fDQe/f989uYN831e8OuA4kUPKymopFSkrqypSzjV03rWVW9DzDm/b8/v09rwNtn1aHp88fODK87dlZ/TqHTs+N+cfs2eHB2T1c08funnHBdmDXHn+tk8dPtDI77qUrMZXpMSsqkhgRdx6j3dg/96eN3Jlyb1o9noXcNHMHa3xb3/1Da/Pzehn9t4211nlhs81djQc/PTe23JHePsbXj/vQcp6filZjaxIuVlVkZCKuPUe76hevj0v62IRc5+Ru+QFn1Ipn8AJfvXJwKNHDt+16+LspHZu2fJfB56aPGHDL7Jj583qfx548sItW7JH+PKnxZr9vG98ViMrUm5WVWS+irj1zm34/r09z00w7NvI+4zsJW/ei2b2hEv5BE72gMFf/83Db8pN6puvv272o+XGzj5wNBx80/XX5YY3/knf+KzGVKT0rKrIHBVx613cvf17e16c41yPlHKfkbvqzXUCkyeX9QmcyQEjv/iaM5/3Hc9u08LCux99aMZjBoO8+9GHXvps75lDvPmaV834opU+LTKrMRUpPasqMkdFRsOBW+/i1urZ2/PiBGd/pKz7jDNXvJf+f/YTyD6zrE/gZI8Z8/WH9u/bvnlzdmoPXPKKGf/OUnbU7G/Ojh45fP8lr8iOveDccz/U6D8mkgWMyWpwRarIqorMVxG33tltMP66Z2/PixOc65FS7jOyF77ZL5rZ8yzxEzjZw0Z+/aO3viY3td+6565ZjpkbNcuQ0XDwm3e/ITfwx257zYxja3haTFbDKlJRVlVkvoqMhgO33sUN1qe358XZzfVIKfcZuWvfXCcwGg7K/QTOvK8+5fmfHRy8dvvLsrO7ZvvLPjvDP/qXHTJjVj8zOHjN2a913fbts7zWlPMv/UfBWQ2rSEVZVZG5K+LWe8291Ju352vObq4H4+8zAi6a2TMs9xM42SPHf/3b99yVm92P3HrLhofNDdnw+aPh4IdvvSU36ndme98zy8HLek5wVgMqUl1WVWTuioyGA7fexV3Um7fnxanN+0j8fUbu8jfXCZT+CZy5Xn3DJx89cvhNl16SneD2zZv//akN/pVW2efP8l7k35564mVn/xnMg5deMuOfwWw4hXKfEJbVgIpUl1UVCanIaDhw613cS/14e16cV8AjkfcZ8140s2dY+idwsgcv5eu/f/Thc86e4Vdv9Lmps5++8b9H66te9crskHMWFv7hsYdLOfnSDxKW1XkrUmlWVSSwIm69i9upH2/Pi/MKeyTmPiN7BZzl1ntyhlV8Amdy8BK/+JYb8v8Mx18/9KYpx58L5K8eyv+zKW+54fopB2/8RwFZnbcilWZVRQIr8uXfolvv4vbrwdvz4qTCHom5z5jrojk5vYo+gTM5folffPTgUxed/c+T33nxy6f8HafZQY4eOfz6i1+eff5FW7Z89OAc/5x8idOc/VDzZnWuilSdVRUJr4hb7+Im6cHb8+Kkgh8Jvs/IXgRnfy9S0Sdwgqc/feDP7t2Tm+bb7rxjvSG5Z673tNFw8LY778g9+edu3zPl+S350bxZnb0iNWRVRcIrMhoO3HoXN2HX354XZxT8SPB9Ru46OMsJVPcJnFlePeA5n3/60O4dO7IzvWLbtk+u8+/ZzT5tSlY/cfjA5dvO+vcH796x4/Nz/vuDA+ZSypC5sjp7RWrIqopEVcSt95r7p9Nvz9ecUfCDYfcZM140s2dV3Sdwsq9S7td/eP+9uZl+z+61/5sfuaetdxrfvfvm3DP/6IH71nty2x6fK6szVqSerKpIVEVGw4Fb7+Ju7PTb8+J0Yh4Ju8/IXQo3PIFKP4Gz4avHPOHJK8767w+ed845H9j3ePGAs4B8YN/jW88568NfT11xRfFQbX5k9qzOWJF6sqoisRUZDQduvYs7s7tvz4tziXwk4D5jlotm9qwq/QRO9oVK//qfn3h0y5n/Fvp41oevurL4KrOAHLrqyuzTtmza9C9PPFY8VMsfmTGrs1SktqyqSAkVcetd3JndfXtenEv8I/PeZ2SvhlP+GGB8YlV/Aid++tOP8Nabb8zN98/eeH9uSO4JuZ+OhoM/feP9ued81803FZ/W/kdmzOosFaktqypSQkVGw4Fb7+L+7Ojb8+JE4h+Z9z4jd0GccgI1fAJnyquX8qP/PrT/kvPOy0751p07v3DkcPbg2Z8Ws/qFI4dfs/PC7HMuPe+8/zm0P3uEDn09S1Y3rEidWVWRciri1nvNXdrFt+drTiT+wbnuM7IXxOJFM3syNXwCJ/tyFX39y3e8NjflX3rd7dnXyv00+6PRcPCLr70994RfueN1ued06NtZsjq9IjVnVUXKqchoOHDrXdyoXXx7XpxFKY/MdZ+RuyaudwL1fAJnvVcv8fEvHjm896Kd2Vnv2rr14wf//81E9ke5rH784P6Lt27NPuH2iy764tlvZUo81XoOtWFWp1ek5qyqSGkVGQ0Hbr2Le6xzb8+LUyjrkdnvM7LXxNxFM3sy9XwCJ/uK1X39lw8+kJv1d9x4w+Tlcj+aPD4aDr79xhtyP33ng2/MPqGLX2+Y1SkVqT+rKlJmRdx6F3ds596eF6dQ4iMz3mfkLotrnkBtn8BZ89WreHB49VXZiW/etOmfHn9k/ELZx7NZ/cfHH9l89ke8vvKVV1dxbvUfc3pWp1Sk/qyqSJkVGQ0Hbr2L+61bb8+L51/iIzPeZ6x30cyeSW2fwMm+aKVff/DJx7ed/Q98PH75ZeNXXA/kscsuy/7o/M2b//XJJyo9yToPPiWr61WkkayqSMkVcetd3GbdentePP9yH5nlPiN7Zczeek/OpM5P4ExetIYvvv+W3bm5/95996x3xfzd++7OPfkHbtldw0nW9hJTsrqeSSNZVZGSKzIaDtx6F7dZh96eF0++3Edmuc/IXRxzJ1DzJ3Byr17pt586fODq88/PTv/GCy743NOHso+Ms/rM04duvOCC7ONXn3/+p2f4j+9Wev6lH3y9rK5ZkaayqiLlV8St95p7qStvz9c8+XIf3PA+I3txLL4XqfkTOOXOfcOj/fpdd+am/1N7bss9MhoOfnLPrbkHf+OuOzc8eOeesF5WixVpMKsqUn5FRsOBW+/idu3K2/PimZf+yIb3GbnrY/YE6v8ETvbVa/j66JHDd+/alRW48Nxzs98uLCx85MCTuQfv3rVryn+epIbTru4l1sxqsSINZlVFKqnIaDhw613cV514e1487SoemX6fkbtoZk+g/k/gZF+9nq//9uEHcwK5b7/humtzj/zdIw/Wc271v8qaWf3IgSdzAg1mVUWqqohb7+J+68Tb8+JpV/TIlPuM3AVicgKNfAJn8up1fvF1116TQ5jy7ddfe02d51b/axWz+o2FjuZ86syqilRVkdFw4Na7uN/a//a8eM4VPTLlPiN3RZicQCOfwJm8ep1ffHj/vh2Fv5GVYxl/u+Pcc/9j/5N1nlsjr5XL6qY1Lc48WHNWVaTCirj1Lu639r89L55zdY+sd59x5mrw0v+PT6CpT+BUN/3pR/7x2/J/fp5jGX/7E3tunX6cfvy0zVlVkQorMhoO3HoX93DL354XT7i6R9a7z8hdLr/87/lo8BM41U1/+pGfefrQ9du35yhy395wwfZnOvIfxJ0+2Vl+2tqsqki1FXHrveb2aPPb8zVPuLoH17zPyF0r0/lga875Hffm/7nCnMw77r07N6TH37Y2qypSbUVGw4Fb7+LGbvPb8+LZVvrImvcZuWtlUh9szWofPXL44csuzWlMvn3kskv7+uneLEL263ZmVUUqr8hoOHDrnd0J469b+/a8eKpVP1K8z5hcKMdfJPXB1pz2ex575Kz/lvoZms2bNr3nsZf+XY25IT3+tp1ZVZE6KuLWu7ixW/v2vHiqNTySu884c6lc+/9r/gRODdOf/hLfesP1RYhvy/x746cP79lPW5hVFamjIqPhwK13cTO38+158TxreMR9xhTkjx18KleRi7du/djBp6YM6feP2pZVFampIm69ixu7nW/Pi+dZzyPuM6Y4//zte7Mh+YXX7p3y5N7/6GMHn3r51i1ZkIWFhQazqiI1VWQ0HLj1Lm7vFr49L55kPY+4z5ji/PmnD91y4YXj6+YtF174hY7/B3GnzHTGH7UqqypSX0Xceq+5Q9r29nzNk6znQfcZU5z/+IH7xhX5kwfum/K0RH7UqqyqSH0VGQ0Hbr2Lm7xtb8+LZ1jbI+4zplMfuPKKg1deMf056fy0PVlVkVorMhoO3HoX93mr3p4XT6/OR9xnTNF+3xOPvX/fY1OekNqPWpJVFam7Im69i1u9VW/Pi6dX8yPuM2oG7+7LtSSrKlJ3RUbDgVvv4r5tz9vz4rnV/IgPttYM7uUiBZKrSG7CjXz7vj17btq2bfxHhTdt2/b+PXsaOY22vegjO3c+unNn286qkfP5wauuyn6O84euuqqR0/CiBAIEVtv010IpJxOgUMOQt1//0j+O+2s33FDDy3XiJf589+6/2L27E6da9Um6z6ha2PGrEyjlul3WQfpckQ/u3evWu7p13IMju8/owS8xzSmUFYBSjtPzirj1TnOPzT5r9xmzW3lmewRKufqXdZCeV6Q9v3Vn0k4B9xnt/L04q+kCZQWglOOUU5FSTsVBCBAgQKBzAirSuV+ZEyZAgECLBFSkRb8Mp0KAAIHOCahI535lTpgAAQItElCRFv0ynAoBAgQ6JxBVkbf4iwABAgQaEmhJb1Skod+/lyVAgECcgIrE+RlNgACBtAV6VZFPfOCd/keAAAECNQhM0qkiwkOAAAECcwuoyNxkNbTdSxAgQKArAiqiIgQIECAQLqAi4XZduVNwngQIEKhOQEVUhAABAgTCBVQk3K66tjsyAQIEuiKgIipCgAABAuECKhJu15U7BedJgACB6gRUREUIECBAIFxARcLtqmu7IxMgQKArAiqiIgQIECAQLqAi4XZduVNwngQIEKhOQEVUhAABAgTCBVQk3K66tjsyAQIEuiKgIipCgAABAuECKhJu15U7BedJgACB6gRUREUIECBAIFxARcLtqmu7IxMgQKArAiqiIgQIECAQLqAi4XZduVNwngQIEKhOQEVUhAABAgTCBVQk3K66tjsyAQIEuiKgIipCgAABAuECKhJu15U7BedJgACB6gRUREUIECBAIFxARcLtqmu7IxMgQKArAiqiIgQIECAQLqAi4XZduVNwngQIEKhOQEVUhAABAgTCBVQk3K66tjsyAQIEuiKgIipCgAABAuECKhJu15U7BedJgACB6gRUREUIECBAIFxARcLtqmu7IxMgQKArAiqiIgQIECAQLqAi4XZduVNwngQIEKhOQEVUhAABAgTCBVQk3K66tjsyAQIEuiKgIipCgAABAuECKhJu15U7BedJgACB6gRUREUIECBAIFxARcLtqmu7IxMgQKArAiqiIgQIECAQLqAi4XZduVNwngQIEKhOQEVUhAABAgTCBVQk3K66tjsyAQIEuiKgIipCgAABAuECKhJu15U7BedJgACB6gRUREUIECBAIFxARcLtqmu7IxMgQKArAiqiIgQIECAQLqAi4XZduVNwngQIEKhOQEVUhAABAgTCBVQk3K66tjsyAQIEuiKgIipCgAABAuECKhJu15U7BedJgACB6gRUREUIECBAIFxARcLtqmu7IxMgQKArAiqiIgQIECAQLqAi4XZduVNwngQIEKhOQEVUhAABAgTCBVQk3K66tjsyAQIEuiKgIipCgAABAuECKhJu15U7BedJgACB6gRUREUIECBAIFxARcLtqmu7IxMgQKArAiqiIgQIECAQLqAi4XZduVNwngQIEKhOQEVUhAABAgTCBVQk3K66tjsyAQIEuiKgIipCgAABAuECKhJu15U7BedJgACB6gRUREUIECBAIFxARcLtqmu7IxMgQKArAiqiIgQIECAQLqAi4XZduVNwngQIEKhOQEVUhAABAgTCBVQk3K66tjsyAQIEuiKgIipCgAABAuECKhJu15U7BedJgACB6gRUREUIECBAIFxARcLtqmu7IxMgQKArAiqiIgQIECAQLqAi4XZduVNwngQIEKhOQEVUhAABAgTCBVQk3K66tjsyAQIEuiKgIipCgAABAuECKhJu15U7BedJgACB6gRUREUIECBAIFygnxWZzMoXBAgQIFCPwGo7/lqIOY16pLwKAQIECBQFYq7eJY5VkeKvxiMECBDogECJJYg5lIq8tFZiEI0lQIBAsgIqoiLJLn4TJ0CgBAEVUZESlpFDECCQrEA5Fanuk9FVH3ny9z6TXQEmToAAgRgBFfFeJGb9GEuAQOoCKqIiqe8B8ydAIEZARVQkZv0YS4BA6gIqoiKp7wHzJ0AgRkBFVCRm/RhLgEDqAiqiIqnvAfMnQCBGQEVUJGb9GEuAQOoCKqIiqe8B8ydAIEZARVQkZv0YS4BA6gIqoiKp7wHzJ0AgRkBFVCRm/RhLgEDqAiqiIqnvAfMnQCBGQEVUJGb9GEuAQOoCKqIiqe8B8ydAIEZARVQkZv0YS4BA6gIqoiKp7wHzJ0AgRkBFVCRm/RhLgEDqAiqiIqnvAfMnQCBGQEVUJGb9GEuAQOoCKqIiqe8B8ydAIEZARVQkZv0YS4BA6gIqoiKp7wHzJ0AgRkBFVCRm/RhLgEDqAiqiIqnvAfMnQCBGQEVUJGb9GEuAQOoCKqIiqe8B8ydAIEZARVQkZv0YS4BA6gIqoiKp7wHzJ0AgRkBFVCRm/RhLgEDqAiqiIqnvAfMnQCBGQEVUJGb9GEuAQOoCKqIiqe8B8ydAIEZARVQkZv0YS4BA6gIqoiKp7wHzJ0AgRkBFVCRm/RhLgEDqAiqiIqnvAfMnQCBGQEVUJGb9GEuAQOoCKqIiqe8B8ydAIEZARVQkZv0YS4BA6gIqoiKp7wHzJ0AgRkBFVCRm/RhLgEDqAiqiIqnvAfMnQCBGQEVUJGb9GEuAQOoCKqIiqe8B8ydAIEZARVQkZv0YS4BA6gIqoiKp7wHzJ0AgRkBFVCRm/RhLgEDqAiqiIqnvAfMnQCBGQEVUJGb9GEuAQOoCKqIiqe8B8ydAIEZARVQkZv0YS4BA6gIqoiKp7wHzJ0AgRkBFVCRm/RhLgEDqAiqiIqnvAfMnQCBGQEVUJGb9GEuAQOoCKqIiqe8B8ydAIEZARVQkZv0YS4BA6gIqoiKp7wHzJ0AgRkBFVCRm/RhLgEDqAiqiIqnvAfMnQCBGQEVUJGb9GEuAQOoCKqIiqe8B8ydAIEZARVQkZv0YS4BA6gIqoiKp7wHzJ0AgRkBFVCRm/RhLgEDqAiqiIqnvAfMnQCBGQEVUJGb9GEuAQOoCKqIiqe8B8ydAIEZARVQkZv0YS4BA6gIqoiKp7wHzJ0AgRkBFVCRm/RhLgEDqAiqiIqnvAfMnQCBGQEVUJGb9GEuAQOoCKqIiqe8B8ydAIEZARVQkZv0YS4BA6gIqoiKp7wHzJ0AgRkBFVCRm/RhLgEDqAiqiIqnvAfMnQCBGQEVUJGb9GEuAQOoCKqIiqe8B8ydAIEZARVQkZv0YS4BA6gIqoiKp7wHzJ0AgRkBFVCRm/RhLgEDqAiqiIqnvAfMnQCBGQEVUJGb9GEuAQOoCKqIiqe8B8ydAIEZARVQkZv0YS4BA6gIqoiKp7wHzJ0AgRkBFVCRm/RhLgEDqAiqiIqnvAfMnQCBGQEVUJGb9GEuAQOoCKqIiqe8B8ydAIEZARVQkZv0YS4BA6gIqoiKp7wHzJ0AgRkBFVCRm/RhLgEDqAiqiIqnvAfMnQCBGQEVUJGb9GEuAQOoCKqIiqe8B8ydAIEZARVQkZv0YS4BA6gIqoiKp7wHzJ0AgRkBFVCRm/RhLgEDqAiqiIqnvAfMnQCBGQEVUJGb9GEuAQOoCKqIiqe8B8ydAIEZARVQkZv0YS4BA6gIqoiKp7wHzJ0AgRkBFVCRm/RhLgEDqAiqiIqnvAfMnQCBGQEVUJGb9GEuAQOoCKqIiqe8B8ydAIEZARVQkZv0YS4BA6gIqoiKp7wHzJ0AgRkBFVCRm/RhLgEDqAiqiIqnvAfMnQCBGQEVUJGb9GEuAQOoCKqIiqe8B8ydAIEZARVQkZv0YS4BA6gIqoiKp7wHzJ0AgRkBFVCRm/RhLgEDqAiqiIqnvAfMnQCBGQEVUJGb9GEuAQOoCKqIiqe8B8ydAIEZARVQkZv0YS4BA6gIqoiKp7wHzJ0AgRkBFVCRm/RhLgEDqAiqiIqnvAfMnQCBGQEVUJGb9GEuAQOoCKqIiqe8B8ydAIEZARVQkZv0YS4BA6gIqoiKp7wHzJ0AgRkBFVCRm/RhLgEDqAiqiIqnvAfMnQCBGQEVUJGb9GEuAQOoCKqIiqe8B8ydAIEZARVQkZv0YS4BA6gIqoiKp7wHzJ0AgRkBFVCRm/RhLgEDqAiqiIqnvAfMnQCBGQEVUJGb9GEuAQOoCKqIiqe8B8ydAIEZARVQkZv0YS4BA6gIqoiKp7wHzJ0AgRkBFVCRm/RhLgEDqAiqiIqnvAfMnQCBGQEVUJGb9GEuAQOoCKqIiqe8B8ydAIEZARVQkZv0YS4BA6gIqoiKp7wHzJ0AgRkBFVCRm/RhLgEDqAiqiIqnvAfMnQCBGQEVUJGb9GEuAQOoCKqIiqe8B8ydAIEZARVQkZv0YS4BA6gIqoiKp7wHzJ0AgRkBFVCRm/RhLgEDqAiqiIqnvAfMnQCBGQEVUJGb9GEuAQOoCKqIiqe8B8ydAIEZARVQkZv0YS4BA6gIqoiKp7wHzJ0AgRkBFVCRm/RhLgEDqAiqiIqnvAfMnQCBGQEVUJGb9GEuAQOoCKqIiqe8B8ydAIEZARVQkZv0YS4BA6gIqoiKp7wHzJ0AgRkBFVCRm/RhLgEDqAiqiIqnvAfMnQCBGQEVUJGb9GEuAQOoCKqIiqe8B8ydAIEZARVQkZv0YS4BA6gIqoiKp7wHzJ0AgRkBFVCRm/RhLgEDqAiqiIqnvAfMnQCBGQEVUJGb9GEuAQOoCKqIiqe8B8ydAIEZARVQkZv0YS4BA6gIqoiKp7wHzJ0AgRkBFVCRm/RhLgEDqAiqiIqnvAfMnQCBGQEVUJGb9GEuAQOoCKqIiqe8B8ydAIEZARVQkZv0YS4BA6gIqoiKp7wHzJ0AgRkBFVCRm/RhLgEDqAiqiIqnvAfMnQCBGQEVUJGb9GEuAQOoCKqIiqe8B8ydAIEZARVQkZv0YS4BA6gIqoiKp7wHzJ0AgRkBFVCRm/RhLgEDqAiqiIqnvAfMnQCBGQEVUJGb9GEuAQOoCKqIiqe8B8ydAIEZARVQkZv0YS4BA6gIqoiKp7wHzJ0AgRkBFVCRm/RhLgEDqAiqiIqnvAfMnQCBGQEVUJGb9GEuAQOoC5VTkpStxl/8v9YVg/gQIEAgSUBHvRYIWjkEECBB4UbjXjNIAAAK7SURBVEBFVMRWIECAQLhAVEXCX9ZIAgQIEOiFgIr04tdoEgQIEGhIQEUagveyBAgQ6IWAivTi12gSBAgQaEhARRqC97IECBDohYCK9OLXaBIECBBoSEBFGoL3sgQIEOiFgIr04tdoEgQIEGhIQEUagveyBAgQ6IWAivTi12gSBAgQaEhARRqC97IECBDohYCK9OLXaBIECBBoSEBFGoL3sgQIEOiFgIr04tdoEgQIEGhIQEUagveyBAgQ6IWAivTi12gSBAgQaEhARRqC97IECBDohYCK9OLXaBIECBBoSEBFGoL3sgQIEOiFgIr04tdoEgQIEGhIQEUagveyBAgQ6IWAivTi12gSBAgQaEhARRqC97IECBDohYCK9OLXaBIECBCIEFhaWjp9+vR6Bzh69Oizzz57/MW/VldXjx07trq6urKysri4ePr0aRVZz83jBAgQ6JXAysrK0tLSqVOnVldXT506tbS0tLy8PJ7h0tLSyZMnl5aWVlZWnn/++dXV1eXl5fEzV1dXn3322fHTjh8/vry8fOzYsUlCVldXVaRXq8RkCBAgsJ7A4uLi8vLyyZMnT58+vbi4uLKycuLEifGTl5aWTpw48aUvfenEiRPj9yXZdyfj9yKLi4tLS0vj9yLPPffc8ePHx2NVZD1wjxMgQKBXAouLi+O/E3Xq1KmTJ0+Ovx7PcNyMlZWV8buNpaWl8ZPHPx2/Fxm/WRlX5PTp05O3NSrSq1ViMgQIEFhP4MSJEydPnhy/C1lcXHz++efH7y1WV1eXXvzr+PHj47+LdezYscnblOzf0Tp27NgLL7ww+XOR5557bnl5WUXWA/c4AQIE+iZw+vTplZWV8axeeOGFyfTGj0/+mOT48eOTp62urk6eubKycvrFv8YDl5eX/en6xNAXBAgQIPB/AqdOnRr/AfuMHP8LgAjeHpwxCKIAAAAASUVORK5CYII=[/img]
gilt dann der k_c,90 mit 1.75 oder muss auch die verteilte Last 2*h vom Auflager entfernt sein?

Bisher bin ich immer davon ausgegangen, dass eine gleichmäßig verteilte Last wie ein Schwelendruck gesehen wird, mit Auflast von oben (sozusagen umgekehrte Situation) und k_c,90 = 1.5 bei BSH.

Die Software "Würth" hat die Thematik folgendermaßen interpretiert:

-Einzelstützung (Träger auf Stütze)
-verteilte Last (egal welche Abstand)
- -> k_c,90 = 1.75

-Einzelstützung (Träger auf Stütze)
-Einzellast mit Abstand l_1>2*h
- -> k_c,90 = 1.75

-Einzelstützung (Träger auf Stütze)
-Einzellast mit Abstand l_1<2*h
- -> k_c,90 = 1.50

Bin gespannt auf eure Meinungen,

Danke und BG
RKron
 

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EN 1995-1-1: Querdruckbeiwert von BSH bei verteilter Last 31 Jul 2025 17:47 #84627

Moin,
die Abbildung zur Einzelabstützung ist leider nicht dechiffrierbar.
Aber zur Frage: Ermittele dir doch einmal die Spannungsverteilung sigmaz über die Höhe des Holzes für die konkrete Belastungs- und Lagerungssituation. Ein konstantes sigmaz über die Höhe führt zu kc90 = 1,0 (so wird der kleine Prüfkörper zur Ermittlung von fc90 beansprucht). Eine davon abweichende Spannungsverteilung sigmaz führt zu entsprechend größeren Werten für kc90. Mache dir dafür außerdem klar, wie die Spannungs-Dehnungslinie unter Querdruck aussieht und was dabei im Holz im einzelnen passiert (vereinfacht darfst du dir Holz als ein Gebilde aus einem Bündel Strohhalme vorstellen). Dabei darfst du auch vernachlässigen, dass das Verhalten im Holz eigentlich auch abhängig ist von der Lage der Jahresringe zur Querdruckbeanspruchung (da du dies ja bei der Planung noch gar nicht wissen kannst).
Grüße

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EN 1995-1-1: Querdruckbeiwert von BSH bei verteilter Last 03 Aug 2025 09:48 #84634

Hallo!

Meines Erachtens ist die Abstandregel l1 >=2h mechanisch nicht wirklich begründbar.
Warum soll bei einem Abstand von 1,9h kc90 nurmehr 1,0 sein anstatt 1,75? 

Das Bild 14 in EN408 zeigt, dass die Querdruckfestigkeit bei 1% Stauchung ermittelt wird und somit eigentlich keine Festigkeit auf Traglastniveau ist. 

Im Entwurf des neuen EC 5 ist das mMn besser geregelt. Die Abstandregeln der Last existieren nicht mehr, stattdessen errechnet sich kc90 aus einer Formel und die Querdruckfestigkeit wird zusätzlich mit kmat erhöht. Das führt i.d.R. zu (deutlich) höheren Festigkeiten.

Freundliche Grüße
Folgende Benutzer bedankten sich: markus

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EN 1995-1-1: Querdruckbeiwert von BSH bei verteilter Last 04 Aug 2025 07:04 #84636

Hallo zusammen,
danke für die ersten Antworten und sorry für die falsch eingefügten Screenshots.
Hier nochmal die Screenshots im Anhang.

Meine Frage zielt eigentlich verstärkt auf den Satz der Norm ab. "Für Bauteile auf Einzelabstützungen, die durch verteilte Lasten und/oder Einzellasten, die weiter als l1 = 2 h von der Abstützung entfernt sind, ...."

Bezieht sich das "weiter als l1=2*h von der Abstützung entfernt sind" nur auf die Einzellasten oder auch auf die Gleichlast?
Die Regelung des Euocode 5 Gen 2 macht da für mich auch deutlich mehr Sinn..

BG
Rkron
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EN 1995-1-1: Querdruckbeiwert von BSH bei verteilter Last 04 Aug 2025 10:55 #84639

Servus,
gemäß auslegung zur DIN....würde ich für die streckenlast kc,90=1,50 bzw. 1,75 setzen.

siehe anbei.
lg
 
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