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 17.54SP
A 6-in.-diameter solid shaft is subjected to a torque of 40 ft-kips. Using Mohr’s circle:
(a) Determine the magnitude and direction of the principal stresses on the surface of the shaft.
(b) Determine the stresses acting on the faces of an element rotated
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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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- 3. (a) Using Stress transformation equations, determine the principal planes, the principal stresses, the maximum in-plane shear stress and the corresponding normal stress. (b) Solve part (a) using Mohr's circle. 100 MPa 75 MPa 150 MPaarrow_forward3 A bar of diameter 25mm has an axial hole 19mm bored out concentric with the outer circumference. The bar is submitted to the following loads simultaneously: (a) An axial tension of 13 kN, (b) A bending moment of 100Nm. Determine the maximum and minimum direct stresses on the section of the bar.arrow_forwardThe state of stress at a point in a soil beneath a level ground surface consists of a major principal stress of 70 kPa and a minor principal stress of 25 kPa. The major principal stress acts in the vertical direction. (a) Draw the Mohr's circle of stress and show the pole point (origin of planes). (b) Determine the maximum shear stress and calculate the orientation angle (relative to horizontal) of the plane of positive maximum shear stress. (c) Determine the normal stress and shear stress on a plane that makes an angle of -20° (i.e., 20° clockwise) relative to the horizontal plane.arrow_forward
- Forces are applied at points A and B of the solid cast-iron bracket shown. The bracket has a diameter of 0.8 in. Take P = 2000 lb. 2.5 in. 600 lb max The principal stresses are: ksi 1 in. Determine the principal stresses and the maximum shearing stress at point H. (Round the final answers to two decimal places. Input the answers with the appropriate sign.) A 3.5 in Omin ksi The maximum shearing stress is ksi,arrow_forwardConstruct a Mohr's circle for the following point stresses: ox = 60MPa, oy = 10MPa and Txy = +20MPa, and hence determine the stress components and planes in which the shear stress is a maximum.arrow_forwardA ship's propeller shaft is 5 inches in diameter. The thrust load is 12,000 lb and the torque is 150,000 in - lb. Determine the resultant maximum shearing and compressive ( tensile ) stresses.arrow_forward
- Mohr's Circle The major and minor principal stresses acting at a point are 80 psi compression and 20 psi tension. (a) Draw the Mohr's circle for this stress combination. (b) What is the maximum shear stress acting at the point, and what value of normal stress acts on the plane? (c) Determine the value of the shear and normal stress acting on a plane that is 30° from the major principal plane. kindly answer the following with a complete solution so that i can understand how to solve it. thank youarrow_forwardProblem 2: A state of plane stress at a point on the surface of a structure consists of the following stress components: Ox = 18 ksi, oy = 24 ksi, and Txy = 15 ksi. Note that the stress components act in the directions shown on the element below. Ox Txy 24 ksi бу 18 ksi 15 ksi (a) Draw a complete Mohr's circle for this stress state. Clearly label the X and Y faces, the center C, and the radius R. (b) Using Mohr's circle, determine the stress components Ox, Oy, and Txy on an element rotated 25° counter-clockwise from the original element shown. Label all of these quantities on the circle. (c) Show all stresses from part (b) on a properly oriented stress element. Be sure to include all stress components acting on the element.arrow_forward2. A hollow shaft of 30-mm inner diameter and 60-mm outer diameter is acted on by an axial tensile load of 50 kN, a torque of 500 N-m and a bending moment of 200 N-m. Determine the principal stresses and their directions.arrow_forward
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