Verification — equilibrium, end-value and in-span consistency tests

Test 1 — global equilibrium

Σ applied loads + Σ reactions for the first load case, tolerance 1e-6

Component	Residual	Result
FX	1.720e-13	PASS
FY	6.439e-15	PASS
FZ	-1.933e-12	PASS
MX	0.000e+0	PASS
MY	0.000e+0	PASS
MZ	0.000e+0	PASS

Test 2 — end-value versus in-span stress screening

20 of 48 members have a true peak inside the span that end-only reporting would miss

Mbr	σ end-only (MPa)	σ incl. in-span (MPa)	Δσ	σ allow	DCR end-only	DCR full	Screen
1	22.8552	22.8552	7.11e-15	150.0	0.1524	0.1524	PASS
2	78.6937	78.7413	0.0476	150.0	0.5246	0.5249	PASS
3	78.6891	78.7367	0.0476	150.0	0.5246	0.5249	PASS
4	22.8402	22.8402	0.0000	150.0	0.1523	0.1523	PASS
5	73.7845	73.7845	-2.84e-14	150.0	0.4919	0.4919	PASS
6	90.3687	90.9185	0.5498	150.0	0.6025	0.6061	PASS
7	90.3702	90.9200	0.5498	150.0	0.6025	0.6061	PASS
8	73.7852	73.7852	0.0000	150.0	0.4919	0.4919	PASS
9	283.3263	283.3263	0.0000	150.0	1.8888	1.8888	FAIL
10	196.6683	196.6683	0.0000	150.0	1.3111	1.3111	FAIL
11	87.1724	87.1724	0.0000	150.0	0.5811	0.5811	PASS
12	196.6416	196.6416	0.0000	150.0	1.3109	1.3109	FAIL
13	283.4469	283.4469	0.0000	150.0	1.8896	1.8896	FAIL
14	189.3843	189.5385	0.1542	150.0	1.2626	1.2636	FAIL
15	79.1920	80.3798	1.1879	150.0	0.5279	0.5359	PASS
16	189.3866	189.5406	0.1541	150.0	1.2626	1.2636	FAIL
17	79.1908	80.3786	1.1877	150.0	0.5279	0.5359	PASS
18	23.0853	23.0853	-4.62e-14	150.0	0.1539	0.1539	PASS
19	78.5256	78.6104	0.0848	150.0	0.5235	0.5241	PASS
20	78.5233	78.6081	0.0847	150.0	0.5235	0.5241	PASS
21	23.0761	23.0761	0.0000	150.0	0.1538	0.1538	PASS
22	74.4814	74.4814	-2.84e-14	150.0	0.4965	0.4965	PASS
23	90.0126	90.7248	0.7122	150.0	0.6001	0.6048	PASS
24	90.0127	90.7248	0.7122	150.0	0.6001	0.6048	PASS
25	74.4799	74.4799	0.0000	150.0	0.4965	0.4965	PASS
26	276.3260	276.3260	0.0000	150.0	1.8422	1.8422	FAIL
27	202.4134	202.4134	0.0000	150.0	1.3494	1.3494	FAIL
28	81.6663	81.6663	0.0000	150.0	0.5444	0.5444	PASS
29	202.3659	202.3659	0.0000	150.0	1.3491	1.3491	FAIL
30	276.2115	276.2115	0.0000	150.0	1.8414	1.8414	FAIL
31	191.1062	191.2815	0.1753	150.0	1.2740	1.2752	FAIL
32	79.8241	80.9671	1.1430	150.0	0.5322	0.5398	PASS
33	191.0989	191.2743	0.1754	150.0	1.2740	1.2752	FAIL
34	79.8139	80.9570	1.1431	150.0	0.5321	0.5397	PASS
35	18.1827	18.6442	0.4615	150.0	0.1212	0.1243	PASS
36	14.2821	14.2821	1.78e-14	150.0	0.0952	0.0952	PASS
37	11.3038	11.3038	-1.78e-15	150.0	0.0754	0.0754	PASS
38	14.2544	14.2544	-7.11e-15	150.0	0.0950	0.0950	PASS
39	18.0790	18.6391	0.5601	150.0	0.1205	0.1243	PASS
40	8.1849	8.1849	-1.78e-15	150.0	0.0546	0.0546	PASS
41	9.1866	9.1866	-2.84e-14	150.0	0.0612	0.0612	PASS
42	8.9762	8.9762	0.0000	150.0	0.0598	0.0598	PASS
43	9.0943	9.0943	5.33e-15	150.0	0.0606	0.0606	PASS
44	8.2267	8.2267	-1.78e-15	150.0	0.0548	0.0548	PASS
45	16.3350	16.3350	0.0000	150.0	0.1089	0.1089	PASS
46	12.7532	22.0353	9.2821	150.0	0.0850	0.1469	PASS
47	12.7395	22.0287	9.2892	150.0	0.0849	0.1469	PASS
48	16.3636	16.3636	3.55e-15	150.0	0.1091	0.1091	PASS

Design uses the in-span value. Members with Δσ > 0 carry transverse load and reach their peak bending between the end nodes; reporting only end actions would under-report those members.

Test 3 — model diagnostics

PASS No singular stiffness matrix, all members have valid section properties and every joint is connected.

Joints / members / supports	20 / 48 / 4
Active DOF	120
Load cases / combinations	5 / 12

Test 4 — serviceability

SLS combo	max \|uZ\| (mm)	Limit (mm)	DCR	Result
SLS1	8.2385	33.33	0.247	PASS
SLS2	10.1161	33.33	0.303	PASS