Applied Statics and Strength of Materials (6th Edition)
6th Edition
ISBN: 9780133840544
Author: George F. Limbrunner, Craig D'Allaird, Leonard Spiegel
Publisher: PEARSON
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Chapter 14, Problem 14.16P
A timber power-line pole is
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Consider an 8-m long simply supported T-beam with overhangs loaded as shown below.
200 mm
w kN/m
50 mm
50 kN-m
50 kN-m
200 mm
2 m
4 m
2 m
50 mm
1.
Determine the location of the neutral axis measured from the top of
the beam and the moment of inertia (in mm4) of the section about its
neutral axis.
Draw the shear and bending moment diagrams. Annotate all relevant
values and distances. Determine the magnitude of the maximum negative
2.
moment.
Determine the minimum allowable strength of the beam in tension
and the minimum allowable strength of the beam in compression.
3.
Determine the maximum allowable load, w (in kN/m), that can be
applied pn the beam.
4.
B.
A 20 ft long simply supported beam has 15-inch outside diameter with 1-inch-thick circular section. The beam carries 10 lb/ft uniformly distributed load from the right support to its middle span. Another 15 lb concentrated load applied downward in the left-end support. Determine the maximum bending stress (k-lb/ft2) of the simply supported beam.
Calculate the internal shear forces and the value of
bending moments at points A, D (on member DB
and member AD), and B.
Origin
C
2 m
D
2.5 m
250 mm
125 mm
1.5 m
50 mm
( 25 kN /m
B
4m
- 2 m-
Chapter 14 Solutions
Applied Statics and Strength of Materials (6th Edition)
Ch. 14 - Calculate the section modulus for: (a) a 6 -in-by-...Ch. 14 - Calculate the section modulus (with respect to the...Ch. 14 - Prob. 14.3PCh. 14 - Rework Problem 14.3 changing the orientation of...Ch. 14 - Assume that the timber member (a) of Problem 14.2...Ch. 14 - The structural steel built-up member (b) of...Ch. 14 - A round steel rod, 25 mm in diameter, is subjected...Ch. 14 - A square steel bar, 38 mm on each side, is used as...Ch. 14 - Calculate the moment strength for a W36302...Ch. 14 - Calculate the allowable bending moment for a solid...
Ch. 14 - The beams of cross sections shown are subjected to...Ch. 14 - A solid rectangular simply supported timber beam 6...Ch. 14 - A W1430 supports the loads shown. Calculate the...Ch. 14 - If the allowable shear stress is 100 MPa,...Ch. 14 - A steel pin 112 in diameter is subjected to a...Ch. 14 - A timber power-line pole is 10 in. in diameter at...Ch. 14 - Calculate the value of S and Z and the shape...Ch. 14 - For beams that have cross sections as shown for...Ch. 14 - Calculate the maximum load P that the beam shown...Ch. 14 - A 412 (S4S) hem-fir timber beam carries a...Ch. 14 - A simply supported W1636 A992 steel beam carries a...Ch. 14 - A W250115 steel wide-flange section supports a...Ch. 14 - Assume that the floor joist dimensions of Example...Ch. 14 - Calculate the allowable superimposed uniformly...Ch. 14 - A 3 -in.-by- 12 -in. (S4S) scaffold timber plank...Ch. 14 - For the following computer problems, any...Ch. 14 - For the following computer problems, any...Ch. 14 - For the following computer problems, any...Ch. 14 - Calculate the section modulus with respect to the...Ch. 14 - The timber box section (a) of Problem 14.29 is...Ch. 14 - A timber beam is subjected to a maximum bending...Ch. 14 - Rework Problem 14.31 assuming that the beam is...Ch. 14 - A 12 -in.-diameter steel rod projects 2 ft...Ch. 14 - Calculate the maximum bending stress in a W530101...Ch. 14 - A cantilever cast-iron beam is 6 ft long and has a...Ch. 14 - 14.36 Calculate the moment strength for a...Ch. 14 - A W813 steel wide-flange beam on a 20 -ft span is...Ch. 14 - A simply supported beam with a cruciform cross...Ch. 14 - A rectangular beam 100 mm in width and 250 mm in...Ch. 14 - The timber box section (a) of Problem 14.29 is...Ch. 14 - For the I-shaped timber beam shown, calculate the...Ch. 14 - 14.42 A steel wide-flange beam is oriented so that...Ch. 14 - A W1045steel wide-flange beam supports a uniformly...Ch. 14 - 14.44 A steel wide-flange section is subjected to...Ch. 14 - A W30108 steel wide-flange beam is simply...Ch. 14 - A W612 is strengthened with a 34 -in.-by- 34 -in....Ch. 14 - Four wood boards 1 in. by 6 in. in cross section...Ch. 14 - A lintel consists of two 8 -in.-by- 12 in. steel...Ch. 14 - A 50 -mm-by- 300 -mm scaffold timber plank, placed...Ch. 14 - A laminated wood beam is built up by gluing...Ch. 14 - A rectangular hollow shape carries loads as shown....Ch. 14 - For the beam shown, calculate the maximum tensile...Ch. 14 - 14.53 A box beam is built up of four -in.-by--in....Ch. 14 - 14.54 Find the value of the loads P that can be...Ch. 14 - 14.55 Solve Problem 14.54 assuming that the timber...Ch. 14 - Calculate the values of S and Z and the shape...Ch. 14 - 14.57 A is supported on simple supports on a -ft...
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- A picture is taken of a man performing a pole vault, and the minimum radius of curvature of the pole is estimated by measurement to be 4.5 m. If the pole is 40 mm in diameter and it is made of a glass-reinforced plastic for which Eg = 131 GPa, determine the maximum bending stress in the pole.arrow_forwardA wooden log is to be used as a footbridge to span 3.50-m gap. The log is required to support a concentrated load of 30 kN at midspan and a uniformly distributed load of 20 kN/m throughout the span. If the allowable stress in shear is 0.7 MPa. 1. What is the diameter of the log that would be needed? Assume the log is very nearly circular and the bending stresses are adequately met. Neglect the weight of the log. 2. If the log is to be trimmed to have a square cross section, what shall be the resulting dimensions (Round off to the nearest whole number). 3. Compute for the maximum flexural stress of the beam loading.arrow_forwardA beam has a rectangular cross section 80 mm wide and 120 mm deep. It is subjected to a bending moment of 15 kN-m at a certain point along its length. It is made from metal with a modulus of elasticity of 180 GPa. Calculate the maximum stress on the section.arrow_forward
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