Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 14.3, Problem 27P
To determine
Find the magnitude of the bending moment M.
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Chapter 14 Solutions
Statics and Mechanics of Materials (5th Edition)
Ch. 14.3 - In each ease, the state of stress x, y, xy...Ch. 14.3 - Given the state of stress shown on the element,...Ch. 14.3 - Determine the normal stress and shear stress...Ch. 14.3 - Prob. 2FPCh. 14.3 - Determine the equivalent state of stress on an...Ch. 14.3 - Prob. 4FPCh. 14.3 - The beam is subjected to the load at its end....Ch. 14.3 - Prob. 6FPCh. 14.3 - Prove that the sum of the normal stresses x+y=x+y...Ch. 14.3 - Determine the stress components acting on the...
Ch. 14.3 - Determine the stress components acting on the...Ch. 14.3 - Determine the normal stress and shear stress...Ch. 14.3 - Determine the normal stress and shear stress...Ch. 14.3 - Prob. 6PCh. 14.3 - Prob. 7PCh. 14.3 - Determine the stress components acting on the...Ch. 14.3 - Determine the stress components acting on the...Ch. 14.3 - Determine the stress components acting on the...Ch. 14.3 - Determine the equivalent state of stress on an...Ch. 14.3 - Prob. 12PCh. 14.3 - Determine the stress components acting on the...Ch. 14.3 - Determine (a) the principal stresses and (b) the...Ch. 14.3 - Prob. 15PCh. 14.3 - Prob. 16PCh. 14.3 - Prob. 17PCh. 14.3 - Prob. 18PCh. 14.3 - Prob. 19PCh. 14.3 - Prob. 20PCh. 14.3 - Prob. 21PCh. 14.3 - The state of stress at a point in a member is...Ch. 14.3 - The wood beam is subjected to a load of 12 kN. If...Ch. 14.3 - Prob. 24PCh. 14.3 - The internal loadings at a section of the beam are...Ch. 14.3 - The internal loadings at a section of the beam are...Ch. 14.3 - Prob. 27PCh. 14.3 - Prob. 28PCh. 14.3 - The beam has a rectangular cross section and is...Ch. 14.3 - A paper tube is formed by rolling a cardboard...Ch. 14.3 - Prob. 31PCh. 14.3 - The 2-in.-diameter drive shaft AB on the...Ch. 14.3 - Determine the principal stresses in the...Ch. 14.3 - The internal loadings at a cross section through...Ch. 14.3 - The internal loadings at a cross section through...Ch. 14.3 - Prob. 36PCh. 14.3 - The steel pipe has an inner diameter of 2.75 in....Ch. 14.3 - Prob. 38PCh. 14.3 - The wide-flange beam is subjected to the 50-kN...Ch. 14.3 - Prob. 40PCh. 14.3 - The box beam is subjected to the 26-kN force that...Ch. 14.3 - The box beam is subjected to the 26-kN force that...Ch. 14.4 - Use Mohrs circle to determine the normal stress...Ch. 14.4 - Prob. 8FPCh. 14.4 - Prob. 9FPCh. 14.4 - Prob. 10FPCh. 14.4 - Prob. 11FPCh. 14.4 - Prob. 12FPCh. 14.4 - Solve Prob. 142 using Mohrs circle. 14-2.Determine...Ch. 14.4 - Solve Prob. 143 using Mohrs circle. 143.Determine...Ch. 14.4 - Determine the stress components acting on the...Ch. 14.4 - Solve Prob. 1410 using Mohrs circle. 149.Determine...Ch. 14.4 - Solve Prob. 1415 using Mohrs circle. 1415.The...Ch. 14.4 - Solve Prob. 1416 using Mohrs circle....Ch. 14.4 - Prob. 49PCh. 14.4 - Determine (a) the principal stresses and (b) the...Ch. 14.4 - Determine (a) the principal stresses and (b) the...Ch. 14.4 - Determine the equivalent state of stress if an...Ch. 14.4 - Draw Mohrs circle that describes each of the...Ch. 14.4 - Draw Mohrs circle that describes each of the...Ch. 14.4 - Determine (a) the principal stresses and (b) the...Ch. 14.4 - Determine (a) the principal stress and (b) the...Ch. 14.4 - Determine (a) the principal stresses and (b) the...Ch. 14.4 - Determine (a) the principal stresses and (b) the...Ch. 14.4 - Determine (a) the principal stresses and (b) the...Ch. 14.4 - Prob. 60PCh. 14.4 - The grains of wood in the board make an angle of...Ch. 14.4 - The post is fixed supported at its base and a...Ch. 14.4 - Determine the principal stresses, the maximum...Ch. 14.4 - The thin-walled pipe has an inner diameter of 0.5...Ch. 14.4 - The frame supports the triangular distributed load...Ch. 14.4 - The frame supports the triangular distributed load...Ch. 14.4 - Prob. 67PCh. 14.4 - The pedal crank for a bicycle has the cross...Ch. 14.4 - A spherical pressure vessel has an inner radius of...Ch. 14.4 - The cylindrical pressure vessel has an inner...Ch. 14.4 - Prob. 71PCh. 14.4 - Determine the principal stress at point D, which...Ch. 14.4 - If the box wrench is subjected to the 50 lb force,...Ch. 14.4 - If the box wrench is subjected to the 50-lb force,...Ch. 14.4 - Prob. 75PCh. 14.5 - Draw the three Mohrs circles that describe each of...Ch. 14.5 - Draw the three Mohrs circles that describe the...Ch. 14.5 - Draw the three Mohrs circles that describe the...Ch. 14.5 - Determine the principal stresses and the absolute...Ch. 14.5 - Prob. 80PCh. 14.5 - Prob. 81PCh. 14.5 - Prob. 82PCh. 14.8 - Prove that the sum of the normal strains in...Ch. 14.8 - The state of strain at the point on the arm has...Ch. 14.8 - The state of strain at the point on the pin leaf...Ch. 14.8 - The state of strain at the point on the pin leaf...Ch. 14.8 - Prob. 88PCh. 14.8 - The state of strain at a point on the bracket has...Ch. 14.8 - Prob. 90PCh. 14.8 - Prob. 91PCh. 14.8 - Prob. 92PCh. 14.8 - Prob. 93PCh. 14.8 - Prob. 94PCh. 14.8 - Prob. 95PCh. 14.8 - Prob. 96PCh. 14.8 - Prob. 97PCh. 14.8 - The state of strain on the element has components...Ch. 14.8 - Solve Prob. 1486 using Mohrs circle. 1486.The...Ch. 14.8 - Solve Prob. 1487 using Mohrs circle. 1486.The...Ch. 14.8 - Solve Prob. 1488 using Mohrs circle. 1488.The...Ch. 14.8 - Solve Prob. 1491 using Mohrs circle. 1491.The...Ch. 14.8 - Solve Prob. 1490 using Mohrs circle. 1489.The...Ch. 14.11 - The strain at point A on the bracket has...Ch. 14.11 - The strain at point A on a beam has components...Ch. 14.11 - The strain at point A on the pressure-vessel wall...Ch. 14.11 - The 45 strain rosette is mounted on the surface of...Ch. 14.11 - Prob. 109PCh. 14.11 - Use Hookes law, Eq. 1432, to develop the strain...Ch. 14.11 - Prob. 111PCh. 14.11 - A rod has a radius of 10 mm. If it is subjected to...Ch. 14.11 - The polyvinyl chloride bar is subjected to an...Ch. 14.11 - The polyvinyl chloride bar is subjected to an...Ch. 14.11 - The spherical pressure vessel has an inner...Ch. 14.11 - Determine the bulk modulus for each of the...Ch. 14.11 - The strain gage is placed on the surface of the...Ch. 14.11 - The principal strains at a point on the aluminum...Ch. 14.11 - Prob. 119PCh. 14.11 - Prob. 120PCh. 14.11 - The cube of aluminum is subjected to the three...Ch. 14.11 - The principal strains at a point on the aluminum...Ch. 14.11 - A uniform edge load of 500 lb/in. and 350 lb/in....Ch. 14.11 - Prob. 124PCh. 14 - The steel pipe has an inner diameter of 2.75 in....Ch. 14 - Prob. 2RPCh. 14 - Prob. 3RPCh. 14 - The crane is used to support the 350-lb load....Ch. 14 - In the case of plane stress, where the in-plane...Ch. 14 - The plate is made of material having a modulus of...Ch. 14 - If the material is graphite for which Eg = 800 ksi...Ch. 14 - A single strain gage, placed in the vertical plane...Ch. 14 - The 60 strain rosette is mounted on a beam. The...
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- A hollow circular tube with a 2.3-cm I.D. and 2.5-cm O.D. is rigidly supported at its ends. A 2.5 kN-m torque is applied at the center of this tube. What is the maximum shear stress acting on this tube?arrow_forwardA steel core is bonded firmly to the copper tube (shell) to form the shaft shown. The length of the shaft is 450 mm and the end A is fixed to the wall. Take the shear modulus of steel and copper as 76 GPa and 38 GPa, respectively. The diameter of the core is 60 mm and the outer diameter of the shaft is 100 mm. Determine the maximum external torque (Tmax) so that the absolute maximum shear stress for any point H on the surface of the copper shell does not exceed 50 MPa. 450 mm A 100 mm 60 mm В Tmax =? kN · marrow_forwardA circular hollow shaft has outer diameter of 60 mm and thickness of 15 mm and is subjected to a torque load of 4.2 kN•m. Determine the resulting minimum shear stress. Also determine the resulting maximum shear stress.arrow_forward
- One-half length of 50 mm diameter steel rod is solid while the remaining half is hollow having a bore of 25 mm. The rod is subjected to equal and opposite torque at its ends. If the maximum shear stress in solid portion is t or, the maximum shear stress in the hollow portion is: 15 (a) 16 4 (c) -T 3 16 (d) 15 (b) 7arrow_forward7. You are applying torque of 50Nm to a rectangular bar, with a width (b) of 5cm and a height (h) of 6cm. If the polar 2nd moment of area for this object can be calculated as J =bh(b? + h?), then determine the maximum stress that the bar experiences. 8. The max torsional stress that a bone can withstand is 57MPA. Determine the maximum torsional torque that can be applied to bone with each of the following geometries: a) A solid cylinder of bone of radius 2cm b) A hollow cylinder of bone with an outer radius of 3cm, the same surface area as in a) J = 2nt (Raveras Raverage Router + Rinner 2arrow_forwardThe constant wall thickness of a steel tube with the cross section shown is 2 mm. If a 600-N m torque is applied to the tube, find (a) the shear stress in the wall of the tube; and (b) the angle of twist per meter of length. Use G = 80 GPa for steel.arrow_forward
- Two forces, each of magnitude P, are applied to the wrench. The diameter of the steel shaft AB is 30mm. Determine the largest allowable value of P if the shear stress in the shaft is not to exceed 120MPa and it's angle of twist is limited to 7deg. Use G=83GPa for steel. -Draw and label the diagram correctly, No diagram in the solution will be marked wrong. -Shortcut solution will be marked wrong.arrow_forwardA high-strength steel [E = 232 GPa] tube having an outside diameter of 86 mm and a wall thickness of 3.3 mm is bent into a circular curve having a 50-m radius of curvature. Determine the maximum magnitude of the bending stress Omax developed in the tube. Answer: Omax = i MPa.arrow_forwardA bar having a radius equal to 0.375 inches is subjected to different torques along its span as shown below. Determine the max shear stress that is experienced by the bar. 10-ft 50 16 ft 701-ft solb ftarrow_forward
- Two forces, each of magnitude P, are applied to the wrench. The diameter of the steel shaft AB is 15 mm. Determine the largest allowable value of P if the shear stress in the shaft is not to exceed 120 MPa and its angle of twist is limited to 5°. Use G = 80 GPa for steel. 300 mm P B 500 mm Aarrow_forwardThe solid-circular member AC, having a diameter D and a shear modulus of 69 GPa, is subjected to the torques 2T and 3T at points A and B, respectively. If tallow = 35 MPa and (fA/C)allow =2o, determine the maximum permissible value of the torque T. Use the table given below and your student ID to find the values of L1, L2, and D. Student ID L1 (m) L2 (m) D (mm) 1131731 1 0.6 78arrow_forwardA rod is made from two segments: AB is steel and BC is brass. It is fixed at its ends and subjected to a torque of T = 710 N•m. The steel portion has a diameter of 30 mm. Assume the support reactions at the walls will be the same. B 1.60 m A 0.75 m Gst = 75GPA, Gor = 39 GPa. Part A Determine the absolute maximum shear stress in the steel shaft. Express your answer to three significant figures and include appropriate units. HẢ ? T abs max Value Unitsarrow_forward
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