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Q2.1: Calculate the statically equivalent replacement force for the concentrated load P (pick in table 2.1) Q2.2: Calculate Ax (pick in table 2.1) Q2.3: Calculate Ay (pick in table 2.1) Q2.4: Calculate By (pick in table 2.1) a. d. Table 2.1 0 15,0 kN 25.0 kN a. d. g. Statics and internal forces j. 8.917.104 2.671 106 6.67 107 5.00 105 b. e. h. Table 2.2 Ax 10.0 kN 17.5 kN 30.0 kN b. e. h. k. Ay Free-body diagram Q2.7: Calculate the moment of inertia lange) of a single flange around it's local bending axis, z' (pick in table 2.2) in mm² Q2.8: Calculate the moment of inertia (web) of the beam web around the global z-axis (pick in table 2.2) in mm4 Q2.9: Calculate the moment of inertia of the entire beam cross-section Q2.10: Calculate the max. first order moment Q for a section above the global z-axis (pick in table 2.2) in mm³ w Cross-sectional constants 2.330. 10³ 6.521 106 2.822-106 1.572 107 Q2.5 Draw the internal shear force diagram for the beam in the answer sheets. Clearly mark the values Ay. By.w and P Q2.6 Draw the internal bending moment diagram for the beam in the answer sheets Pw 4 C. f. i. 12.5 kN 20.0 kN 35.0 kN C. f. i. 1. P L 4 H 2.500-105 9.203.106 2.858 103 2.681 106 By
Stress calculation Q2.11: Calculate the distance from the left support (A) for which the max. bending moment will occur in mm (write result) Q2.12: Calculate the maximum bending moment (write result) Q2.13: Calculate the maximum normal stress due to bending (pick the correct value in table 2.3) Q2.14: Where in the cross-section would the maximum tensile normal stress occur (pick the correct value in table 2.4) Q2.15: Calculate the maximum shear stress (pick the correct value in table 2.3) Q2.16: Where in the cross-section would the max. shear stress occur (pick the correct value in table 2.4) P1 P3 P7 P9 P5 P6. P2 P4 P8 P10
a. d. j. Table 2.3 a. d. 7.5 N/mm² 19.8 N/mm² 97.4 N/mm² 200 N/mm² Table 2.4 a. Along P1-P2 Along P9-P10 Along P5-P6 d. g. LE = 2 LE = 2L LE b. e. h. k. b. e. h. Q2.17: If the transverse loads were removed from the beam and replaced by a longitudinal compressive force in the left end, what would the Euler length of the beam column be b. LE = 0.699L C. LE = L = 11L b. 9.4 N/mm² 62.3 N/mm² 146.1 N/mm² 400 N/mm² e. Along P3-P4 Along P1-P9 Along P2-P9 d. e. f. LE = L TL 2 g. h. LE = 23 i. LE =8 Q2.18: Which of the following boundary conditions apply to the beam case shown in figure 2 (select two answers) a. K(0) = 0 0 (0) = 0 y(0)=0 h. LE Student ID: = πL K € (-) = 0 (-) 0 = 0 |y()=0 C. f. i. 1. C. f. i. 11.3 N/mm² 84.7 N/mm² 194.8 N/mm² 1111 N/mm² C. Along P7-P8 Along P2-P10 Along P1-P10 f. i. K(L) = 0 0(L) = 0 y(L)=0