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 17.34SP
A simply supported
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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
A simply supported 3 m long beam with a point load
of 5 kN and a cross section of 50 mm * 80 mm is
applied in the middle of the beam. Calculate the
maximum transverse shear stress acting on the
beam cross section.
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 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.
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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- AWT305 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) σT = (b) oc = i i B WBC LBC LCD Ť WT305 x 41 88.9 mm 211.1 mm MPa. MPa. Darrow_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 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_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
- AWT305 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 = 2 m, LBC= 5 m, LcD = 1 m, PA = 12 kN, WBC = 12 kN/m. Consider the entire 8-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 Answers: (a) OT = (b) oc = B i 62.19 i 25.81 WBC LBC 1 WT305 x 41 C LCD 88.9 mm 211.1 mm MPa. MPa. D xarrow_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 = 7 m, LcD = 1 m, PA = 9 kN, WBC = 11 kN/m. Consider the entire 11-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 C Z + WT305 x 41 LCD 88.9 mm 211.1 mm Xarrow_forwardDetermine 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 psiarrow_forward
- 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.arrow_forwardDraw the (a) axial (b) shear and (c) bending moment diagram of the girders. Use Factor Method for structure (3). All columns have the same area. The beams and columns have the same modulus of elasticity. Assume moment inertia of beams is twice the moment of inertia of columns.arrow_forwardOn a formatted bond paper, copy and solve the problem. Show your neat and detailed solution. Use three (3) decimal places for your answers and enclosed it in a box. Compute the deflection and slope at a section 8 ft from the wall for the beam shown in the figure using Double Integration Method. Assume that E = 28 x 103 psi and 1= 30.75 1200 lb in4. A 800 lb/ft -8 ft -8 ft Barrow_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 cantilever beammade up of a material with the density of 2000kg/m3 has a circular cross section with a diameter of 150mm. In addition to the self weight, the beam is subjected concentrated point load of 88 kN at its midspan. Find out the flexural and shear stresses at top, bottom and neutral axis of the cross section produced due to the maximum bending moment if the span length of the beam is 4m. Consider the self weight of the beam in solving the question.arrow_forwardFrom the given beam shown below, compute the following: 20 mm 80 mm 160 mm NA 1.0 m 1.0m H– 20 mm 1. Distance between top of the beam to Neutral Axis or "c top". 2. Moment of Inertia at Neutral Axis or "I" 3. What is the maximum safe value of P if the working stress in shear is 6 MPa? 4. Using the maximum safe value of P what is the Maximum shear? 5. Using the maximum safe value of P what is the Maximum Moment?arrow_forward
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