Download Span Beam - Architectural Structures - Assignment and more Exercises Structural Design and Architecture in PDF only on Docsity!
Problems: supplemental problems (6A, etc.) and from Onouye, Chapters 4 & 10 Notes: Problems marked with a * have been altered with respect to the problem stated in the text.
6A) Using metric units investigate the beam shown in Figure 3.48c. Find the reactions and draw the shear and moment diagrams, indicating all critical values. (compound beams) Partial answers to check with: Vmax = 108 kN, Mmax = -108 kN-m.
Partial answers to check with: Ax = +1.54 kN, Ay = +4.5 kN, Cx = -1.54 kN, Cy = +6.3 kN, Bx = -1.54 kN (wrt AB), By = -0.9 kN (wrt AB).
6B) A 22-ft span beam is fixed at both ends and carries a single concentrated load of 16 kips at midspan (no image). Find the reactions and construct the complete shear and moment diagrams using beam diagram formulas. Partial answers to check with: Vmax = 8 kips, Mmax = 44 k-ft
MORE NEXT PAGE
y x y x
(pinned frames)
Figure 3.4.8 (c) Reference for Problem 6A)
6C) For the rigid frame shown, the reactions using an approximate analysis method at A are: Ax = -6.0 kN, Ay = -8.10 kN, MA = 14.85 kNm, and at D are: Dx = -6.0 kN, Dy = 8.10 kN, MD = 14.85 kNm. Plot the shear and bending moment diagrams and identify Vmax and Mmax. (equilibrium & semigraphical method)
Partial answers to check with: MBA= 12.15 kN-m, MCB= -12.15 kN-m, Vmax = 8.10 kN, Mmax = -14.85 kN-m
6D) For the frame of problem 6C, use Multiframe software to find the shear and bending moment values to verify your work from the semigraphical method. Use the standard steel section you have been assigned which is posted in My Grades on e-Learning. Submit the data file (.mdf) on E-learning (under Contents-Assignments) and provide a print of the shear (V) and bending moment (M) diagrams. Note: The values from Multiframe will not be identical to the approximate analysis values. Note: The “Find, Given, Solution” format is not required.
Partial answers to check with: Le/rx = 90.5 and Le/ry = 118.7, Pcr-x = 1281 kN (or 182 kN),
Pcr-y = 748 kN (or 745 kN), fcr = 141 MPa
Note: there is only ONE critical buckling load
y x
12 kN^ B
A
4.5 m
3 m
C
D
*Use metric units. (The SI values have been corrected.)
(1 MPa = N/mm*^2 )
4880 mm
3050 mm
(Euler buckling formula)
y x
