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![The pressure distribution on the silo wall and hopper without using Insert, by German Code DIN 1055[15], by Thiemer equation [13], and Janssen.](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/647378714e662f30ba53f7c9/j_sgem-2019-0022_fig_011.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=ASIA6AP2G7AKAQBD4DWL%2F20260316%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20260316T065438Z&X-Amz-Expires=3600&X-Amz-Security-Token=IQoJb3JpZ2luX2VjEAYaDGV1LWNlbnRyYWwtMSJHMEUCIH81EyrbYf%2F%2BDCe9nR84Cn9vBgMGrk6X0Pw7pyV8IITnAiEAs6HgZoLphVE8%2FC%2FRaGkrbe9kc6x1ayu9HXLQkEAtvngqxQUIz%2F%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FARACGgw5NjMxMzQyODk5NDAiDOMXGhvNgNwAmj9VECqZBfWiLrHB%2BNnSpN%2BTzIcXzukSiBZzFjdzR3eKeBvXCPFSO3I6g3F%2BYLZH8S30UH0mSwYolrVuv8UJZe784z97qyFU8%2FHCUp3QKoZKlANvBWeXHJrhERxDfORgxcozmKdlpBX0g9iSlyqtUHdSE%2BZMjGplRpXEpiHyFe6QsW%2FaeQ7%2FcK9namO01DrGO85jXTE5JlxAunxG24vAFtjJKK0kS2WsbFlXAEt6veaZEsDRpdm7ebWLcuYbYQjjx%2F9OP9DS69Q1qmKZn%2BZHq0Pbt6U5EFwbLsFvZ8DxYU6RoZwv9fOqhnkrFkp0n%2BWF0fVkkBgrFvt1aMagT2qDX3avVw82AR5aPXz2d1ZPCx5oxBESMFW7%2BHAelGRutYrOUW%2F98Y1eFCmNKzSCUiJOUxXG4nBJ%2B8P1r4V7erWxtz7iqyf%2F%2FBTgrJPTC22ZjhN36J0qT81FJ9nJk%2FfxNag92WQ1%2BxRTBzpD6B4YlBDjfLQvaawLTizFTOxmjDJrkw2A8BpY4Np5SWSN9Pz1ovuX5hpLck6O4YvjucUsuu2gOJ6aa1yDm4FDrXpHp5ZLs5qtFVEe50UfPHj%2FQAyHlpMdtScFYRZT0A%2B3%2F%2FL8jjwNp5KsfIJmHXW39uZSzT4NJmKUJ2%2FRvYkxkL0upNDhOlOExuD7NBInG46rORvBTaVCKwfxQ3MGffjHZ3utHc4dvGBhAu2KG8wWrbu%2FrybOztSGsGzBOJ1ePb4j%2F9s5KWEqYwEh8PyRy1GmoDdaAA0AfESeKbWQaoKt%2FY4I3gJlHWnsK6EMj87PZVfYMBprYYQmxEiw9PdBZ7IKmRJeAjTBKf0zWvrZNqOlxusbtPOIgzLWuBPDVeNZ979HCbnqjovNqHISLaxDwAaj7CRqUEh7cHsjMIqq3s0GOrEBH4KNn%2BSLETxTHQ2Z%2FjtzSNEyOZOnuGRNxpOpxyz8AiszeU9rTrGp%2BFEDhPOeAqr5iegs63m%2Bltw%2BGYxGfT7%2BkQr6q9aLdIpgtDIOFoZkBfR0E023mU4dO9EJiHcvi3TcD%2FUe3QgNrRyfMxku65YUuuGgKelMJAWprASrzeabrRoN7%2FsokLbQVZGRKwISFw5J7%2FPvXbdnGNytz3bQF2jYVqshAN8ZRriNixpC3v3bqzFw&X-Amz-Signature=ff832c7b1bd8ffd92be88c3e7df38c86c970ceb7f465f07f6680fe87b1e9d7a1&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)










![The pressure distribution on the silo wall and hopper without using Insert, by German Code DIN 1055[15], by Thiemer equation [13], and Janssen.](https://sciendo-parsed.s3.eu-central-1.amazonaws.com/647378714e662f30ba53f7c9/j_sgem-2019-0022_fig_011.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Content-Sha256=UNSIGNED-PAYLOAD&X-Amz-Credential=ASIA6AP2G7AKAQBD4DWL%2F20260316%2Feu-central-1%2Fs3%2Faws4_request&X-Amz-Date=20260316T065438Z&X-Amz-Expires=3600&X-Amz-Security-Token=IQoJb3JpZ2luX2VjEAYaDGV1LWNlbnRyYWwtMSJHMEUCIH81EyrbYf%2F%2BDCe9nR84Cn9vBgMGrk6X0Pw7pyV8IITnAiEAs6HgZoLphVE8%2FC%2FRaGkrbe9kc6x1ayu9HXLQkEAtvngqxQUIz%2F%2F%2F%2F%2F%2F%2F%2F%2F%2F%2FARACGgw5NjMxMzQyODk5NDAiDOMXGhvNgNwAmj9VECqZBfWiLrHB%2BNnSpN%2BTzIcXzukSiBZzFjdzR3eKeBvXCPFSO3I6g3F%2BYLZH8S30UH0mSwYolrVuv8UJZe784z97qyFU8%2FHCUp3QKoZKlANvBWeXHJrhERxDfORgxcozmKdlpBX0g9iSlyqtUHdSE%2BZMjGplRpXEpiHyFe6QsW%2FaeQ7%2FcK9namO01DrGO85jXTE5JlxAunxG24vAFtjJKK0kS2WsbFlXAEt6veaZEsDRpdm7ebWLcuYbYQjjx%2F9OP9DS69Q1qmKZn%2BZHq0Pbt6U5EFwbLsFvZ8DxYU6RoZwv9fOqhnkrFkp0n%2BWF0fVkkBgrFvt1aMagT2qDX3avVw82AR5aPXz2d1ZPCx5oxBESMFW7%2BHAelGRutYrOUW%2F98Y1eFCmNKzSCUiJOUxXG4nBJ%2B8P1r4V7erWxtz7iqyf%2F%2FBTgrJPTC22ZjhN36J0qT81FJ9nJk%2FfxNag92WQ1%2BxRTBzpD6B4YlBDjfLQvaawLTizFTOxmjDJrkw2A8BpY4Np5SWSN9Pz1ovuX5hpLck6O4YvjucUsuu2gOJ6aa1yDm4FDrXpHp5ZLs5qtFVEe50UfPHj%2FQAyHlpMdtScFYRZT0A%2B3%2F%2FL8jjwNp5KsfIJmHXW39uZSzT4NJmKUJ2%2FRvYkxkL0upNDhOlOExuD7NBInG46rORvBTaVCKwfxQ3MGffjHZ3utHc4dvGBhAu2KG8wWrbu%2FrybOztSGsGzBOJ1ePb4j%2F9s5KWEqYwEh8PyRy1GmoDdaAA0AfESeKbWQaoKt%2FY4I3gJlHWnsK6EMj87PZVfYMBprYYQmxEiw9PdBZ7IKmRJeAjTBKf0zWvrZNqOlxusbtPOIgzLWuBPDVeNZ979HCbnqjovNqHISLaxDwAaj7CRqUEh7cHsjMIqq3s0GOrEBH4KNn%2BSLETxTHQ2Z%2FjtzSNEyOZOnuGRNxpOpxyz8AiszeU9rTrGp%2BFEDhPOeAqr5iegs63m%2Bltw%2BGYxGfT7%2BkQr6q9aLdIpgtDIOFoZkBfR0E023mU4dO9EJiHcvi3TcD%2FUe3QgNrRyfMxku65YUuuGgKelMJAWprASrzeabrRoN7%2FsokLbQVZGRKwISFw5J7%2FPvXbdnGNytz3bQF2jYVqshAN8ZRriNixpC3v3bqzFw&X-Amz-Signature=ff832c7b1bd8ffd92be88c3e7df38c86c970ceb7f465f07f6680fe87b1e9d7a1&X-Amz-SignedHeaders=host&x-amz-checksum-mode=ENABLED&x-id=GetObject)
© 2019 Hala Hammadeh, Farzat Askifi, Andrzej Ubysz, Marek Maj, Amjad Zeno, published by Wroclaw University of Science and Technology
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.