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 17, Problem 17.5P
A
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A wooden cantilever 2 m long having a rectangu-
lar cross-section 120 x 200 mm² is loaded by a concentrated force of 2.5
kN at the free end. The load lies in the transverse plane of the beam and
passes through its centre of gravity as shown in Fig. 9.23. Calculate the
normal stress along the sides of the fixed end and the deflection of the
free end of the beam, E = 10 GPa.
Determine the maximum tensile and compressive stresses developed in the overhanging beam that is loaded and has the cross-
sectional properties as shown.
1600 lb
4000 lb
2 in
N.A.
6 in
6 ft
R
I- 90 in
6 ft
tensile stress = 3, 840 psi and compressive stress = 7, 680 psi
tensile stress = 1, 280 psi and compressive stress = 2,560 psi
tensile stress = 7, 680 psi and compressive stress = 3, 840 psi
tensile stress = 7, 680 psi and compressive stress = 2, 560 psi
The timber beam AB, 7 in wide by 10 in deep is supported as shown. The beam is carrying a load of 600 lb/ft self-weight. Compute the maximum flexural
stress in the middle of the beam.
516
A
O 725.00 psi
O 735.00 psi
O 745.00 psi
O 755.00 psi
30°
10 ft
15°
B
Chapter 17 Solutions
Applied Statics and Strength of Materials (6th Edition)
Ch. 17 - Prob. 17.1PCh. 17 - A horizontal 30-ft simple span beam is supported...Ch. 17 - A 1-in.-by-4-in, steel bar is subjected to the...Ch. 17 - A W410100 structural steel wide-flange section is...Ch. 17 - A W1272 structural steel wide-flange section is...Ch. 17 - A solid steel shaft 3 in. in diameter and 4 ft...Ch. 17 - A short compression member is subjected to a...Ch. 17 - With reference to Problem 17.7, calculate the...Ch. 17 - A section of a 51-mm-diameter standard-weight...Ch. 17 - For the pipe of Problem 17.9, compute the maximum...
Ch. 17 - A concrete pedestal is in the shape of a cube and...Ch. 17 - 17.12 For the pedestal of Problem 17.11, assume...Ch. 17 - 17.13 Rework Problem 17.11, but assume that the...Ch. 17 - A 12-in-square concrete pedestal is subjected to a...Ch. 17 - 17.15 A short compression member is subjected to a...Ch. 17 - A rectangular concrete footing, 4 ft by 8 ft in...Ch. 17 - The bending and shear stresses developed at a...Ch. 17 - Stresses developed at a point in a machine part...Ch. 17 - Calculate the principal stresses at points A and B...Ch. 17 - 17.20 Rework Problem 17.19 using P = 8000 lb and...Ch. 17 - 17.21 A 1-in.-square steel bar is subjected to an...Ch. 17 - 17.22 A bar having a cross-sectional area of 6...Ch. 17 - Rework Problem 17.22, changing the load to a...Ch. 17 - Solve Problem l7.17 using Mohr’s circle.Ch. 17 - For the elements shown in Problem 17.18, use...Ch. 17 - Solve Problem 17.19 using Mohr’s circle.Ch. 17 - In Problem 17.19, change the load to 8000 lb and...Ch. 17 - For the following computer problems, any...Ch. 17 - For the following computer problems, any...Ch. 17 - For the following computer problems, any...Ch. 17 - For the following computer problems, any...Ch. 17 - A 4-in.-by-8-in. (S4S) Douglas fir timber beam is...Ch. 17 - A horizontal flexural member (a girt) in the wall...Ch. 17 - A simply supported W1850 structural steel...Ch. 17 - A steel link in a machine is designed to avoid...Ch. 17 - 17.36 An 8-in-square (S4S) vertical timber post is...Ch. 17 - A short 3-in.-square steel bar with a...Ch. 17 - A timber member 150 mm by 250 mm (S4S) is loaded...Ch. 17 - A concrete wall 8 ft high and 3 ft thick is...Ch. 17 - 17.40 A short compression member is subjected to a...Ch. 17 - 17.41 Calculate the maximum eccentric load that...Ch. 17 - A short compression member is subjected to two...Ch. 17 - 17.43 Calculate the force P that may be applied to...Ch. 17 - 17.44 A load of 1000 lb is supported on a...Ch. 17 - 17.45 A short compression member is subjected to...Ch. 17 - 17.46 A structural steel wide-flange section is...Ch. 17 - 17.47 A cast-iron frame for a piece of industrial...Ch. 17 - 17.48 The assembly shown is used in a machine. It...Ch. 17 - 17.49 A 50-mm-diameter solid steel shaft is...Ch. 17 - An element of a machine member is subjected to the...Ch. 17 - 17.51 A short-span cantilever built-up beam has...Ch. 17 - Solve Problem 17.50 using Mohr’s circle.Ch. 17 - 17.53 A cantilever beam is subjected to an...Ch. 17 - A 6-in.-diameter solid shaft is subjected to a...Ch. 17 - Rework parts (b) and (c) of Example 17.7 using...
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- For a steel circular cantilever beam, 10mm in diameter, 700mm in length with an applied load of 7.848N in the free end, produce a sketch showing the distribution of stresses across the beam section for an applied moment of M=(3/4My+1/3Mp). Where My=24543.5 N.mm and Mp=41666.66667 N.mm and yeild stregth of material is 250Mpa. Cheersarrow_forwardQuestion 5 Calculate the maximum longitudinal direct stress, plot the stress distribution diagram and determine the location of the neutral axis for a 20 long simply supported beam with a rectangularcross-section that is 160 mm wide and 210 mm deep, which carries a uniformly distributed load of 260 N/m, on its upper surface and a compressive axial load of 220 kN at its free ends. Present schematics showing the distribution of bending direct longitudinal stress, direct load stress, the combined longitudinal direct stress, and identify the neutral axis as well as centroidal axis on the schematic. Show the values of these stresses at the top and bottom surfaces of the cross-section.arrow_forwarda 80 mm wide and 300 mm high simply supported bean has a length of 7.4 m and supports a concentrated load of 7.2 kN acting at the midspan. Find the maximum shear stress and maximum bending stress.arrow_forward
- A 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 is of T section, as shown in fig. The beam is simply supported over a span of 4m and carries a UDL of (1.7+32.) kN/m run over the entire span. Determine the maximum tensile and maximum compressive stressarrow_forwardA WT305 x 41 standard steel shape is used to support the loads shown on the beam. The dimensions from the top and bottom of the shape to the centroidal axis are shown in the sketch of the cross section. Assume LAg - 2 m, Lac- 7 m, Lco- 4 m, PA- 14 kN, Wac- 8 kN/m. Consider the entire 13-m length of the beam and determine: (a) the maximum tension bending stress or at any location along the beam, and (b) the maximum compression bending stress oc at any location along the beam.arrow_forward
- A WT305 x 41 standard steel shape is used to support the loads shown on the beam. The dimensions from the top and bottom of the shape to the centroidal axis are shown in the sketch of the cross section. Assume LAB = 3 m, LBc = 7 m, LcD = 2 m, PA = 17 kN, WBC = 10 kN/m. Consider the entire 12-m length of the beam and determine: (a) the maximum tension bending stress or at any location along the beam, and (b) the maximum compression bending stress oc at any location along the beam. PA LAB Answers: (a) 07 = (b) oc= B 287.45 121.1 WBC LBC WT305 x 41 MPa. LCD क 88.9 mm 211.1 mm MPa. Xarrow_forwardFind the maximum stress in the beam if it is fixed at the left end,free at the right end subjected to a uniform distributed load of200 lb/in.arrow_forwardA beam of rectangular cross-section is 64 mm broad, 100 mm deep, and 1.6 m long. It is simply supported at each end and carries a concentrated load of 10 kN at its mid-length. Neglecting the weight of the beam, find the maximum stress in the material.arrow_forward
- Calculate the end bearing length (in.) required for a 10-in.-by-16-in. timber beam (dressed) that is supported on a reinforced concrete wall as shown. The beam reaction is 18,000 lb and the allowable compressive stress perpendicular to the grain for the timer member is 400 psi. (Unit: in.)arrow_forwardA 200 mm square hollow section at 15 mm thick, is used as simply supported beam both ends. The simple beam carries 10 kN/m uniformly distributed load applied on its entire span. Determine the maximum flexural stress (kPa) caused by the uniform load.arrow_forwardAWT305 x 41 standard steel shape is used to support the loads shown on the beam. The dimensions from the top and bottom of the shape to the centroidal axis are shown in the sketch of the cross section. Assume LAB = 3 m, LBC= 6 m, LCD= 4 m, PA = 10 kN, WBC = 7 kN/m. Consider the entire 13-m length of the beam and determine: (a) the maximum tension bending stress or at any location along the beam, and (b) the maximum compression bending stress oc at any location along the beam. A PA LAB B WBC LBC T WT305 x 41 LCD ↑ 88.9 mm. 211.1 mm D Xarrow_forward
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