{"id":"W2504799772","doi":"10.1016/b978-008043668-5/50019-5","title":"Analytical solutions for quasi-static beams","year":2000,"lang":"en","type":"book-chapter","venue":"Elsevier eBooks","topic":"Contact Mechanics and Variational Inequalities","field":"Computer Science","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"Polytechnique Montréal","funders":"","keywords":"Boundary value problem; Inertia; Poromechanics; Beam (structure); Partial differential equation; Term (time); Bending; Differential equation; Boundary (topology); Mathematical analysis; Mathematics; Physics; Classical mechanics; Structural engineering; Engineering; Porous medium; Porosity","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002721974,0.0008559729,0.000536931,0.001051949,0.0004337047,0.001218515,0.0007809302,0.0009891796,0.01572448],"category_scores_gemma":[0.0007091367,0.0004131473,0.0003669387,0.00137776,0.0008796033,0.0009977563,0.0006355728,0.001078773,0.00277012],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007998614,"about_ca_system_score_gemma":0.00056092,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00175709,"about_ca_topic_score_gemma":0.002000841,"domain_scores_codex":[0.9998897,0.00001632049,0.000005237128,0.00001637182,0.0000599161,0.00001233546],"domain_scores_gemma":[0.9998724,0.00004555408,0.00001207531,0.00001245143,0.00004445538,0.00001307528],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00001280832,0.0000481409,0.00007649833,0.0001852509,0.00001662363,0.00005883936,0.0001475426,0.01773996,0.004946268,0.9043258,0.02051155,0.05193075],"study_design_scores_gemma":[0.0000163459,0.00002365475,0.0003315111,0.00008726078,0.00001285138,0.0001066617,0.0001022224,0.1203947,0.001194465,0.8149509,0.06276163,0.00001780463],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02277197,0.01868113,0.5218471,0.00241897,0.00161976,0.00007216352,0.0004449108,0.0004726098,0.4316714],"genre_scores_gemma":[0.2597039,0.02482726,0.0849425,0.0007601021,0.001622615,0.000313889,0.0008138979,0.0003027672,0.626713],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01572448,"threshold_uncertainty_score":0.0526036,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05266610861472774,"score_gpt":0.2784438862723882,"score_spread":0.2257777776576605,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}