Mechanics of Materials (MindTap Course List)
9th Edition
ISBN: 9781337093347
Author: Barry J. Goodno, James M. Gere
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 8, Problem 8.5.3P
A solid circular bar is fixed at point A. The bar is subjected to transverse load V = 70 lb and torque T = 300 lb-in. at point B. The bar has a length L = 60 in. and diameter d = 3 in. Calculate the principal normal stresses and the maximum shear stress at clement 1 located on the bottom surface of the bar at fixed end A (see figure),
Assume that element 1 is a sufficient distance from support A so that stress concentration effects are negligible
Expert Solution & Answer
Trending nowThis is a popular solution!
Chapter 8 Solutions
Mechanics of Materials (MindTap Course List)
Ch. 8 - A spherical balloon is filled with a gas. The...Ch. 8 - A spherical balloon with an outer diameter of 500...Ch. 8 - A large spherical tank (see figure) contains gas...Ch. 8 - Solve the preceding problem if the internal...Ch. 8 - A hemispherical window (or viewport) in a...Ch. 8 - A rubber ball (sec figure) is inflated to a...Ch. 8 - (a) Solve part (a) of the preceding problem if the...Ch. 8 - A spherical steel pressure vessel (diameter 500...Ch. 8 - A spherical tank of diameter 48 in. and wall...Ch. 8 - Solve the preceding problem for the following...
Ch. 8 - A spherical stainless-steel tank having a diameter...Ch. 8 - Solve the preceding problem if the diameter is 480...Ch. 8 - : A hollow, pressurized sphere having a radius r =...Ch. 8 - A fire extinguisher tank is designed for an...Ch. 8 - Prob. 8.3.2PCh. 8 - A scuba t a n k (see fig ure) i s bci ng d e...Ch. 8 - A tall standpipc with an open top (see figure) has...Ch. 8 - An inflatable structure used by a traveling circus...Ch. 8 - A thin-walled cylindrical pressure vessel of a...Ch. 8 - A strain gage is installed in the longitudinal...Ch. 8 - A circular cylindrical steel tank (see figure)...Ch. 8 - A cylinder filled with oil is under pressure from...Ch. 8 - Solve the preceding problem if F =90 mm, F = 42...Ch. 8 - A standpipe in a water-supply system (see figure)...Ch. 8 - A cylindrical tank with hemispherical heads is...Ch. 8 - : A cylindrical tank with diameter d = 18 in, is...Ch. 8 - A pressurized steel tank is constructed with a...Ch. 8 - Solve the preceding problem for a welded Tank with...Ch. 8 - A wood beam with a cross section 4 x 6 in. is...Ch. 8 - Prob. 8.4.2PCh. 8 - A simply supported beam is subjected to two point...Ch. 8 - A cantilever beam with a width h = 100 mm and...Ch. 8 - A beam with a width h = 6 in. and depth h = 8 in....Ch. 8 - Beam ABC with an overhang BC is subjected to a...Ch. 8 - A cantilever beam(Z, = 6 ft) with a rectangular...Ch. 8 - Solve the preceding problem for the following...Ch. 8 - A simple beam with a rectangular cross section...Ch. 8 - An overhanging beam ABC has a guided support at A,...Ch. 8 - Solve the preceding problem if the stress and...Ch. 8 - A cantilever wood beam with a width b = 100 mm and...Ch. 8 - . A cantilever beam (width b = 3 in. and depth h =...Ch. 8 - A beam with a wide-flange cross section (see...Ch. 8 - A beam with a wide-flange cross section (see...Ch. 8 - A W 200 x 41.7 wide-flange beam (see Table F-l(b),...Ch. 8 - A W 12 x 35 steel beam is fixed at A. The beam has...Ch. 8 - A W 360 x 79 steel beam is fixed at A. The beam...Ch. 8 - A W 12 X 14 wide-flange beam (see Table F-l(a),...Ch. 8 - A cantilever beam with a T-section is loaded by an...Ch. 8 - Beam A BCD has a sliding support at A, roller...Ch. 8 - , Solve the preceding problem using the numerical...Ch. 8 - A W 12 x 35 steel cantilever beam is subjected to...Ch. 8 - A W 310 x 52 steel beam is subjected to a point...Ch. 8 - A solid circular bar is fixed at point A. The bar...Ch. 8 - A cantilever beam with a width h = 100 mm and...Ch. 8 - Solve the preceding problem using the following...Ch. 8 - A cylindrical tank subjected to internal...Ch. 8 - A cylindrical pressure vessel having a radius r =...Ch. 8 - A pressurized cylindrical tank with flat ends is...Ch. 8 - A cylindrical pressure vessel with flat ends is...Ch. 8 - The tensional pendulum shown in the figure...Ch. 8 - The hollow drill pipe for an oil well (sec figure)...Ch. 8 - Solve the preceding problem if the diameter is 480...Ch. 8 - . A segment of a generator shaft with a hollow...Ch. 8 - A post having a hollow, circular cross section...Ch. 8 - A sign is supported by a pole of hollow circular...Ch. 8 - A sign is supported by a pipe (see figure) having...Ch. 8 - A traffic light and signal pole is subjected to...Ch. 8 - Repeat the preceding problem but now find the...Ch. 8 - A bracket ABCD having a hollow circular cross...Ch. 8 - A gondola on a ski lift is supported by two bent...Ch. 8 - Beam A BCD has a sliding support at A, roller...Ch. 8 - A double-decker bicycle rack made up of square...Ch. 8 - A semicircular bar AB lying in a horizontal plane...Ch. 8 - Repeat Problem 8.5-22 but replace the square tube...Ch. 8 - An L-shaped bracket lying in a horizontal plane...Ch. 8 - A horizontal bracket ABC consists of two...Ch. 8 - , An arm A BC lying in a horizontal plane and...Ch. 8 - A crank arm consists of a solid segment of length...Ch. 8 - A moveable steel stand supports an automobile...Ch. 8 - A mountain bike rider going uphill applies a force...Ch. 8 - Determine the maximum tensile, compressive, and...Ch. 8 - Prob. 8.5.32PCh. 8 - A plumber's valve wrench is used to replace valves...Ch. 8 - A compound beam ABCD has a cable with force P...Ch. 8 - A steel hanger bracket ABCD has a solid, circular...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- -11 A solid steel bar (G = 11.8 X 106 psi ) of diameter d = 2,0 in. is subjected to torques T = 8.0 kip-in. acting in the directions shown in the figure. Determine the maximum shear, tensile, and compressive stresses in the bar and show these stresses on sketches of properly oriented stress elements. Determine the corresponding maximum strains (shear, tensile, and compressive) in the bar and show these strains on sketches of the deformed elements.arrow_forwardThe flat bars shown in parts a and b of the figure are subjected to tensile forces P = 2.5 kN. Each bar has thickness t = 5.0 mm. (a) For the bar with a circular hole, determine the maximum stresses for hole diameters d = 12 mm and d = 20 mm il" the width h = 60 mm. (b) For the stepped bar with shoulder fillets, determine the maximum stresses Tor fillet radii R = 6 mm and R = 10 mm if the bar widths are h = 60 mm and c = 40 mm.arrow_forwardA copper bar with a rectangular cross section is held without stress between rigid supports (see figure). Subsequently, the temperature of the bar is raised 50°C (a) Determine the stresses on all faces of the elements A and B, and show these stresses on sketches of the elements. (Assume = 17.5 × 10-6/? and E = 120 GPa ) (b) If the shear stress at B is known to be 48 MPa at some inclination 8, find anglearrow_forward
- A copper bar of rectangular cross section (b = 18 mm and k = 40 mm) is held snugly (but without any initial stress) between rigid supports (see figure). The allowable stresses on the inclined plane pq at mid-span, for which ?? = 55°. are specified as 60 MPa in compression and 30 MPa in shear. (a) What is the maximum permissible temperature rise AT if the allowable stresses on plane pq are not to be exceeded? (Assume a = 17 × 10-6/oC and E = 120 GPa.) (b) If the temperature increases by the maximum permissible amount, what are the stresses on plane pq? (c) If the temperature rises AT = 2SoC how far to the right of end A (distance BL, which is expressed as a fraction of length L) can load P = 15 kN be applied without exceeding allowable stress values in the bar? Assume that a =75 MPa and t = 35 MPa.arrow_forwardA plastic bar of rectangular cross section (ft = 1.5 in. and h = 3 in.) fits snugly between rigid supporls at room temperature (68oF) but with no initial stress (see Figure). When the temperature of the bar is raised to 160oF, the compressive stress on an inclined plane pq at mid-span becomes 1700 psi. (a) What is the shear stress on plane pq? (Assume a = 60 × 10-6/*t and E = 450 × 103psi.) (b) Draw a stress element oriented to plane pq and show the stresses acting on all laces of this element. (c) If the allowable normal stress is 3400 psi and the allowable shear stress is 1650 psi. what is the maximum load P (in the positive x direction), which can be added at the quarter point (in addition to thermal effects given) without exceeding allowable stress values in the bar?arrow_forward-18 through 7.4-25 An clement in plane stress is subjected to stresses sx,??y, and r. (see figure). Using Mohr’s circle, determine (a) the principal stresses and (b) the maximum shear stresses and associated normal stresses. Show all results on sketches of properly oriented elements. 7.4-23 ??x= 2050 psi, sy= 6100 psi, txy= 2750 psiarrow_forward
- A square steel tube of a length L = 20 ft and width b2= 10.0 in. is hoisted by a crane (see figure). The lube hangs from a pin of diameter d that is held by the cables at points A and B. The cross section is a hollow square with an inner dimension b1= 8.5 in. and outer dimension b2= 10,0 in. The allowable shear stress in the pin is 8,700 psi. and the allowable bearing stress between the pin and the tube is 13,000 psi. Determine the minimum diameter of the pin in order to support the weight of the tube. Note: Disregard the rounded corners of the tube when calculating its weight.arrow_forwardThe flat bars shown in parts a and b of the figure are subjected to tensile forces P = 3.0 kips. Each bar a has thickness t = 0.25 in. (a) For the bar with a circular hole, determine the maximum stresses for hole diameters d = 1 in. and d = 2 in. if the width b = 6.0 in. (b) For the stepped bar with shoulder fillets, determine the maximum stresses for fillet radii R = 0.25 in. and R = 0.5 in. if the bar widths are b = 4.0 in. and c = 2.5 in.arrow_forwardA steel hanger bracket ABCD has a solid, circular cross section with a diameter of d = 2 in. The dimension variable is b = 6 in. (see figure). Load P = 1200 lb is applied at D along a line DIh the coordinates of point H arc (8/>, — 5b, 2b), Find normal and shear stresses on a plane stress element on the surface of the bracket at A. Then find the principal stresses and maximum shear stress. Show each stress state on properly rotated elementsarrow_forward
- The stresses acting on element B on the web of a train rail (see figure part a of Problem 7.2-5) arc found to be 5700 psi in compression in the horizontal direction and 2300 psi in compression in the vertical direction (see figure). Also, shear stresses of magnitude 2500 psi act in the directions shown. Determine the stresses acting on an element oriented at a counterclockwise angle of 50° from the horizontal. Show these stresses on a sketch of an element oriented at this angle.arrow_forward-3 An element of aluminum in the form of a rectangular parallelepiped (see figure) of dimensions a = 5.5 in., h = 4.5 in, and c = 3.5 in. is subjected to iriaxial stresses = 12,500 psi, o. = —5000 psi, and ci. = —1400 psi acting on the x,i, and z faces, respectively. Determine the following quantities: (a) the maxim um shear stress in the material; (b) the changes ..la, .11. and 1c in the dimensions of the element: (C) the change .IJ’ in the volume: (d) the strain energy U stored in the element: (e) the maximum value of cr1 when the change in volume must be limited to 0.021%; and (f) the required value of o when the strain energy must be 900 in.-lb. (Assume E = 10,400 ksi and v = 0.33.)arrow_forwardA hemispherical window (or viewport) in a decompression chamber (see figure) is subjected to an internal air pressure of 85 psi. The window is attached to the wall of the chamber by 14 bolts. (a) Find the tensile force Fin each bolt and the tensile stress (T in the viewport if the radius of the hemisphere is 14 in. and its thickness is 1.25 in. (b) If the yield stress for each of the 14 bolts is 50 ksi and the factor of safety is 3.0, Find the required bolt diameter. (c) If the stress in the viewport is limited to 500 psi, find the required radius of the hemisphere.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Pressure Vessels Introduction; Author: Engineering and Design Solutions;https://www.youtube.com/watch?v=Z1J97IpFc2k;License: Standard youtube license