Problem Solutions for Chapter 3 in Architectural Engineering Course, Exercises of Structural Design and Architecture

Solutions to various problems related to beam analysis, including drawing shear and bending moment diagrams and finding maximum values using metric and us units. Students are required to use multiframe software and submit the data files and diagrams for verification.

Typology: Exercises

2011/2012

Uploaded on 12/22/2012

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Problems: all but 3A & 3B from Ambrose & Tripeny, Chapter 3, pgs 103, 108, 111 and 115.
Note: Problems marked with a * have been altered with respect to the problem stated in the text.
Problem 3.3.C. USE METRIC UNITS. Draw the shear and bending moment diagrams for the
beam in Figure 3.5c, indicating all critical values for shear and moment and all significant
dimensions [as the text illustrates].
Partial answers to check with: Mmax = 5.71 kN-m (at 1.8 m from R2 ).
3A) For the beam of problem 3.3.C, use Multiframe software to find the shear and bending
moment values to verify your work from the text 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
“Find, Given, Solution” format is not required.
Problem 3.4.A.* USE METRIC UNITS. Draw the shear and bending moment diagrams for
the beam in Figure 3.13a, indicating all critical values for shear and moment and all significant
dimensions using the semi-graphical method.
Problem 3.4.B.* USE US UNITS. Draw the shear and bending moment diagrams for the beam
in Figure 3.13b, indicating all critical values for shear and moment and all significant
dimensions using the semi-graphical method.
Partial answers to check with: Vmax = 7321 lb, Mmax = 22,298 lb-ft (at 6.68 ft from R2 ).
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(16%)
(10%)
(16%)
(18%)
Figure 3.5 Reference for Problem 3.2
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Problems: all but 3A & 3B from Ambrose & Tripeny, Chapter 3, pgs 103, 108, 111 and 115. Note: Problems marked with a * have been altered with respect to the problem stated in the text.

Problem 3.3.C. USE METRIC UNITS. Draw the shear and bending moment diagrams for the beam in Figure 3.5c, indicating all critical values for shear and moment and all significant dimensions [as the text illustrates]. Partial answers to check with: Mmax = 5.71 kN-m (at 1.8 m from R 2 ). 3A) For the beam of problem 3.3.C, use Multiframe software to find the shear and bending moment values to verify your work from the text 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 “Find, Given, Solution” format is not required.

Problem 3.4.A .* USE METRIC UNITS. Draw the shear and bending moment diagrams for the beam in Figure 3.13a, indicating all critical values for shear and moment and all significant dimensions using the semi-graphical method.

Problem 3.4.B .* USE US UNITS. Draw the shear and bending moment diagrams for the beam in Figure 3.13b, indicating all critical values for shear and moment and all significant dimensions using the semi-graphical method. Partial answers to check with: Vmax = 7321 lb, Mmax = 22,298 lb-ft (at 6.68 ft from R 2 ). MORE NEXT PAGE

Figure 3.5 Reference for Problem 3.

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ARCH 614 Assignment 3 S2012abn

Problem 3.4.F .* USE US UNITS. Draw the shear and bending moment diagrams for the beam in Figure 3.16f, indicating all critical values for shear and moment and all significant dimensions using the semi-graphical method. Partial answers to check with: Mmax = -9500 lb-ft (at R 2 ).

3B) For the mirror image of the beam of problem 3.4.F, use Multiframe software to find the shear and bending moment values to verify your work from the semi-graphical 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 “Find, Given, Solution” format is not required.

Problem 3.5.A. USE METRIC UNITS. A simple span beam has two concentrated loads of 4 kips [17.8 kN], each placed at the third points of the 24-ft [7.32-m] span. Find the value for the maximum bending moment in the beam. (using beam diagrams and formulas)

Problem 3.5.B. USE US UNITS. A simple span beam has a uniformly distributed load of 2. kips/ft [36.5 kN/m] on a span of 18 ft [5.49 m]. Find the value for the maximum bending moment in the beam. (using beam diagrams and formulas) Partial answers to check with: Mmax = 101.25 k-ft (at midspan).

Figure 3.16 Reference for Problem 3.4, part 2.

3’

500 lb

200 lb/ft

5 ’

(mirror image of f)

Use this configuration with Multiframe for problem 3B.

Figure 3.13 Reference for Problem 3.4, part 1.

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