MECHANICS OF MATERIALS
11th Edition
ISBN: 9780137605521
Author: HIBBELER
Publisher: RENT PEARS
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Chapter 9.3, Problem 9P
Determine the stress components acting on the plane AB. Solve the problem using the method of equilibrium described in Sec.9.1.
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(8) The homogeneous bar is supported by a smooth pin at C
a cable that runs from A to B around the smooth peg at D as
shown. Find the stress in the cable if its diameter is 15mm and
bar weighs 6,000 kg.
5m
B
5m
A
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Chapter 9 Solutions
MECHANICS OF MATERIALS
Ch. 9.3 - Determine the normal stress and shear stress...Ch. 9.3 - Determine the equivalent state of stress on an...Ch. 9.3 - Also, find the corresponding orientation of the...Ch. 9.3 - Determine the equivalent state of stress on an...Ch. 9.3 - Determine the maximum principal stress at point B.Ch. 9.3 - Determine the principal stress at point C.Ch. 9.3 - Determine the stress components acting on the...Ch. 9.3 - Solve Prob.99 using the stress transformation...Ch. 9.3 - Determine the stress components acting on the...Ch. 9.3 - Determine the equivalent state of stress on an...
Ch. 9.3 - The stress along two planes at a point is...Ch. 9.3 - The state of stress at a point in a member is...Ch. 9.3 - The wood beam is subjected to a load of 12 kN. If...Ch. 9.3 - The internal loadings at a section of the beam are...Ch. 9.3 - Solve Prob.925 for point B. 925. The internal...Ch. 9.3 - Solve Prob.925 for point C. 925. The internal...Ch. 9.3 - It is subjected to a torque of 12 kip in. and a...Ch. 9.3 - A paper tube is formed by rolling a cardboard...Ch. 9.3 - Solve Prob.931 for the normal stress acting...Ch. 9.3 - Determine the principal stresses in the...Ch. 9.3 - The shaft has a diameter d and is subjected to the...Ch. 9.4 - Use Mohrs circle to determine the normal stress...Ch. 9.4 - Also, find the corresponding orientation of the...Ch. 9.4 - Draw Mohrs circle and determine the principal...Ch. 9.4 - Determine the principal stresses at a point on the...Ch. 9.4 - Determine the principal stresses at point A on the...Ch. 9.4 - Point A is just below the flange.Ch. 9.4 - Mohrs circle for the state of stress is shown in...Ch. 9.4 - Determine (a) the principal stresses and (b) the...Ch. 9.4 - Determine the equivalent state of stress if an...Ch. 9.4 - Draw Mohrs circle that describes each of the...Ch. 9.4 - Draw Mohrs circle trial describes each of the...Ch. 9.4 - Determine (a) the principal stresses and (b) the...Ch. 9.4 - Determine (a) the principal stresses and (b) the...Ch. 9.4 - Draw Mohrs circle that describes each of the...Ch. 9.4 - The grains of wood in the board make an angle of...Ch. 9.4 - A spherical pressure vessel has an inner radius of...Ch. 9.4 - The cylindrical pressure vessel has an inner...Ch. 9.4 - If the box wrench is subjected to the 50 lb force,...Ch. 9.4 - If the box wrench is subjected to the 50-lb force,...Ch. 9.5 - Draw the three Mohrs circles that describe each of...Ch. 9.5 - Draw the three Mohrs circles that describe the...Ch. 9.5 - Determine the principal stresses and the absolute...Ch. 9.5 - The solid shaft is subjected to a torque, bending...Ch. 9.5 - The frame is subjected to a horizontal force and...Ch. 9 - Prob. 1RPCh. 9 - The steel pipe has an inner diameter of 2.75 in....Ch. 9 - Determine the equivalent state of stress If an...Ch. 9 - The crane is used to support the 350-lb load....Ch. 9 - Determine the equivalent state of stress on an...Ch. 9 - The propeller shaft of the tugboat is subjected to...Ch. 9 - Determine the principal stresses in the box beam...Ch. 9 - Determine (a) the principal stresses and (b) the...Ch. 9 - Determine the stress components acting on the...
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- The horizontal bar ABC is supported by a pin at A and the two rods with identical lengths and cross-sectional areas (2 sg.in.) The rod at B is steel and the rod at C is aluminum. Neglecting the weight of the bar, determine the stress in the steel rod when the force W= 10 kips is applied. Use Es=29 x 10^6 psi and Ea=10 x 10^6 psi. Express your final answer in psi to the nearest whole number. Note: Do not include the unit in your answer. * 3 ft B A 5.5ft 1.5 ft →arrow_forwardProblem 3: The rod below has a diamter of 2 in. Determine the state of stress at point A, and show the results on a differential element located at this point. 400 lb x B 500 lb Z A 800 lb 10 in. 15 in.arrow_forward3. The frame supports the distributed load shown. Determine the state of stress acting at point E. (Note: frame picture shows the locations of points E and D in the frame, cross-section picture specifies the locations of these points in the cross-section.) 4 kN/m -1.5 m+1.5 m 3 m 3 m 20 mm 60 mm 20 mm 5 m D 50 mmarrow_forward
- The solid shaft shown below is in equilibrium, supported at two bearings A and B. The pulleys C and D have diameters in the ratio 3:2. T₁ = 1000 N, T₂ = 500 N and T3 = 1500 N. The diameter of the shaft is 50 mm and yield strength sy 400 MPa. The bearings do not exert any moments or axial forces on = the shaft. a. Determine the principal stresses corresponding to maximum bending and torsional shear stresses. Ignore transverse shear stresses due to bending. C A H 0.3 m 0.5 m 0.2 m B T₁ 30° T3 60° TAarrow_forwardDetermine the stress components acting on the inclined plane AB. Solve the problem using the method of equilibrium described in Sec. 9.1. (ANS: -2.71 ksi, 4.17 ksi) 2 ksi 30% 4 ksi B 3 ksiarrow_forwardThe internal drag truss for the wing of a light airplane is subjected to the forces shown. Determine the stress in members EF, GF, and CG. The cross sectional area of the truss member is a semi circle with a radius of 0.5 in.arrow_forward
- The rigid bar ABCD of negligible weight is initially horizontal, and the steel rods attached at A and C are stress-free. The 15-kip load is then applied and the temperature of the steel rods is changed by AT. Find AT for which the stresses in the two steel rods will be equal. Use a a = 6.5 x 106/ºF and E = 29 x 106 psi for steel. Hint: The type of force in the deformation diagram should be the same type as in the FBD 2 ft 2 ft 3 ft 2.5 ft 15 kips A = 0.5 in.² A = 0.75 in.? 1.5 ftarrow_forward. A 175-lb woman stands on a vinyl floor wearing stiletto high-heel shoes. If the heel has the dimensions shown, determine the average normal stress she exerts on the floor and compare it with the average normal stress developed when a man having the same weight is wearing flat-heeled shoes. Assume the load is applied slowly, so that dynamic effects can be ignored. Also, assume the entire weight is supported only by the heel of one shoe. Solution: - For Stiletto shoes =869 psi - For Flat-heeled shoes =50.5 psiarrow_forward2. The bar AC is supported by a pin at A and a cable that runs from B to E around the frictionless pully at D. If the allowable tensile stress oallow = 5.2 ksi for the cable, determine the required minimum diameter (inch) of the cable. The cylinder (connected at C) weighs 890 lb. Neglect weight and thickness of the bar AC. D 4 3 A C 5 ft 5 ft -4 ft 890 lbarrow_forward
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Understanding Stress Transformation and Mohr's Circle; Author: The Efficient Engineer;https://www.youtube.com/watch?v=_DH3546mSCM;License: Standard youtube license