Axial Compression - Elements of Architectural Structures - Assignment, Exercises of Structural Design and Architecture

Its assignment for Elements of Architectural Structures. Some points of assignment are: Axial Compression, Short Timber, Sectional Dimensions, Shear Stress, Equilibrium, Each Load, Moment of a Force, Counterclockwise Moments, Equilibrium of Rigid Bodies, Beam

Typology: Exercises

2011/2012

Uploaded on 12/22/2012

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Problems: all but 2A & 2B from Ambrose & Tripeny, Chapter 2 & 1, pgs 59, 65, 32, and 36.
Note: Problems marked with a * have been altered with respect to the problem stated in the text.
Problem 2.1.A. What axial compression load may be placed on a short timber post whose cross-
sectional dimensions are 9.5 x 9.5 in. if the allowable unit-compressive stress is 1100 psi?
(normal stress)
Partial answers to check with: P = 99.3 kips
2A) What should be the diameter of the bolt shown in Figure 2.1d
if the shearing force is 9000 lb and the allowable unit shearing
stress is 15 ksi? (shear stress)
Partial answers to check with: d = 0.874 in.
Problem 2.1.C. Determine the minimum cross-sectional area of a
steel bar required to support a tensile force of 50 kips if the allowable unit tensile stress is 20
ksi. (normal stress)
Problem 2.2.D.* USE METRIC UNITS. A 12.7 mm diameter round steel rod 12.19 m long
supports a load of 17.79 kN. How much will it elongate? (kN/mm2 = 106 kPa) )
Partial answers to check with:
= 8.56 mm
Partial answers to check with:
restrained = 0.0895 in, f = 6,220 psi
Problem 1.6.A.* USE METRIC UNITS. Figure 1.18
represents a beam in equilibrium with three loads and
two reactions. Select five different Using the centers
of moments at each load (not the end reactions), and
write the equation of moments for each, showing that
the sum of the clockwise moments equals the sum of
the counterclockwise moments. (moment of a force)
MORE NEXT PAGE
2B) Use US customary units. Ealuminum = 10,000 ksi
(4%)
(6%)
(4%)
(6%)
(20%)
(20%)
(axial strain and elasticity)
(thermal stresses)
Figure 1.18 Reference for Problem 1.6
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Problems: all but 2A & 2B from Ambrose & Tripeny, Chapter 2 & 1, pgs 59, 65, 32, and 36. Note: Problems marked with a * have been altered with respect to the problem stated in the text.

Problem 2.1.A. What axial compression load may be placed on a short timber post whose cross- sectional dimensions are 9.5 x 9.5 in. if the allowable unit-compressive stress is 1100 psi? (normal stress) Partial answers to check with: P = 99.3 kips

2A) What should be the diameter of the bolt shown in Figure 2.1d if the shearing force is 9000 lb and the allowable unit shearing stress is 15 ksi? (shear stress) Partial answers to check with: d = 0.874 in.

Problem 2.1.C. Determine the minimum cross-sectional area of a steel bar required to support a tensile force of 50 kips if the allowable unit tensile stress is 20 ksi. (normal stress)

Problem 2.2.D .* USE METRIC UNITS. A 12.7 mm diameter round steel rod 12.19 m long supports a load of 17.79 kN. How much will it elongate? (kN/mm^2 = 10^6 kPa) )

Partial answers to check with:  = 8.56 mm

Partial answers to check with:

restrained = 0.0895 in, f = 6,220 psi

Problem 1.6.A .* USE METRIC UNITS. Figure 1. represents a beam in equilibrium with three loads and two reactions. Select five different Using the centers of moments at each load (not the end reactions), and write the equation of moments for each, showing that the sum of the clockwise moments equals the sum of the counterclockwise moments. (moment of a force) MORE NEXT PAGE

2B) Use US customary units. Ealuminum = 10,000 ksi

(axial strain and elasticity)

(thermal stresses)

Figure 1.18 Reference for Problem 1.

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Problem 1.7.B .* USE US UNITS. Find the reactions for the beam shown in Figure 1.22b. (equilibrium of rigid bodies) Partial answers to check with: R 1 = 8,375 lbs, R 2 = 10,625 lbs.

Problem 1.7.E .* USE METRIC UNITS. Find the reactions for the beam shown in Figure 1.22e. (equilibrium of rigid bodies)

Figure 1. 22 Reference for Problem 1.

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