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 15, Problem 15.3P
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One-half length of 50 mm diameter steel rod
is solid while the remaining half is hollow
having a bore of 5 mm. The rod is subjected
to equal and opposite torque at its ends. If
the maximum shear stress in solid portion is
T, the maximum shear stress in the hollow
portion is
Below Figure shows the section of an angle purlin. A bending moment of
5 kN.m is applied to the purlin in a plane at an angle of 30 deg to the
vertical y axis. If the sense of the bending moment is such that both its
components Mx and My produce tension in the positive xy quadrant,
calculate the maximum direct stress in the purlin, stating clearly the point
at which it acts. *
100 mm
E
10mm
30
C D
-10mm
57 MPa.
89 MPa.
Non Above
O 72 MPa.
125mm
A wire of circular cross-section ofdiameter 1.0 mm is bent into a circular arc of radius 1.0 m by application of pure
bending moments at its ends. The Young's modulus of the material of the wire is 100 GPa. The maximum tensile
stress developed in the wire is
MPa.
Chapter 15 Solutions
Applied Statics and Strength of Materials (6th Edition)
Ch. 15 - A 14 in.-diameter aluminum rod is bent into a...Ch. 15 - 15.2 Calculate the maximum bending stress produced...Ch. 15 - A 500 -mm-long steel bar having a cross section of...Ch. 15 - 15.4 An aluminum wire has a diameter of in....Ch. 15 - 15.5 A -in.-wide by in.-thick board is bent to a...Ch. 15 - 15.6 A Douglas fir beam is in. wide and in. deep....Ch. 15 - Prob. 15.7PCh. 15 - For Problems 15.7 through 15.14, use the formula...Ch. 15 - For Problems 15.7 through 15.14, use the formula...Ch. 15 - For Problems 15.7 through 15.14, use the formula...
Ch. 15 - For Problems 15.7 through 15.14, use the formula...Ch. 15 - For Problems 15.7 through 15.I4, use the formula...Ch. 15 - For Problems 15.7 through 15.14, use the formula...Ch. 15 - For Problems 15.7 through 15.14, use the formula...Ch. 15 - For Problems 15.15 through 15.26, use the...Ch. 15 - For Problems 15.15 through 15.26, use the...Ch. 15 - For Problems 15.15 through 15.26, use the...Ch. 15 - For Problems 15.15 through 15.26, use the...Ch. 15 - For Problems 15.15 through 15.26, use the...Ch. 15 - For Problems 15.15 through 15.26, use the...Ch. 15 - For Problems 15.15 through 15.26, use the...Ch. 15 - For Problems 15.15 through 15.26, use the...Ch. 15 - For Problems 15.15 through 15.26, use the...Ch. 15 - For Problems 15.15 through 15.26, use the...Ch. 15 - For Problems 15.15 through 15.26, use the...Ch. 15 - For Problems 15.15 through 15.26, use the...Ch. 15 - 15.27 Draw the moment diagram by parts for the...Ch. 15 - 15.28 Draw the moment diagram by parts for the...Ch. 15 - 15.29 Draw the moment diagram by parts for the...Ch. 15 - 15.30 For the beam shown, draw the conventional...Ch. 15 - For Problems 15.31 through 15.43, use the...Ch. 15 - For Problems 15.31 through 15.43, use the...Ch. 15 - For Problems 15.31 through 15.43, use the...Ch. 15 - For Problems 15.31 through 15.43, use the...Ch. 15 - For Problems 15.31 through 15.43, use the...Ch. 15 - For Problems 15.31 through 15.43, use the...Ch. 15 - For Problems 15.31 through 15.43, use the...Ch. 15 - For Problems 15.31 through 15.43, use the...Ch. 15 - For Problems 15.31 through 15.43, use the...Ch. 15 - For Problems 15.31 through 15.43, use the...Ch. 15 - For Problems 15.31 through 15.43, use the...Ch. 15 - For Problems 15.31 through 15.43, use the...Ch. 15 - For Problems 15.31 through 15.43, use the...Ch. 15 - 15.49 If the elastic limit of a steel wire is...Ch. 15 - 15.50 Calculate the bending moment required to...Ch. 15 - 15.51 A 6-ft-long cantilever beam is subjected to...Ch. 15 - 15.52 A structural steel wide-flange section is...Ch. 15 - 15.53 A simply supported structural steel...Ch. 15 - 15.54 A structural steel wide-flange shape is...Ch. 15 - A solid, round simply supported steel shaft is...Ch. 15 - Using the moment-area method, check the...Ch. 15 - 15.57 A 1-in.-diameter steel bar is 25 ft long and...Ch. 15 - 15.58 A 102-mm nominal diameter standard-weight...Ch. 15 - I 5.59 Compute the maximum deflection for the...Ch. 15 - An 8-in-wide by 12-in-deep redwood timber beam...Ch. 15 - 15.61 A solid steel shaft 3 in. in diameter and 20...Ch. 15 - 15.62 For the beam shown, draw the conventional...Ch. 15 - 15.63 Rework Problem 15.62 with concentrated loads...Ch. 15 - 15.64 A solid steel shaft 3 in. in diameter and 20...Ch. 15 - 15.65 A structural steel wide-flange section is...Ch. 15 - 15.66 A 6-in.-by-10-in, hem-fir timber beam (S4S)...Ch. 15 - 15.67 A simply supported structural steel...Ch. 15 - Calculate the maximum permissible span length for...Ch. 15 - 15.69 A structural steel wide-flange section 10 ft...Ch. 15 - 15.70 A structural steel wide-flange section...Ch. 15 - 15.71 Determine the deflection at point C and...Ch. 15 - 15.72 Calculate the deflection midway between the...Ch. 15 - 15.73 Derive an expression for the maximum...Ch. 15 - 15.74 Derive an expression for the maximum...
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- The vertical load P acting on the wheel of a traveling crane is 13,000 lb. What is the average shear stress in the 1.25 in. diameter axle?arrow_forwardAn 1.5-meter shaft supports a gear weighing 37 kN at the center. What is the diameter of the shaft in mm if its bending stress is not to exceed 50 MPa?arrow_forwardThe rod shown below is of diamater 70 mm and is fixed at one end. It is subjected to 500 N.m and 300 N.m torsional moments as shown. Sketch the distribution of the internal torsional moment along the length of the rod. Also find the torsional shear stress at points A and B, and also the largest shear stress in the rod. Point B is to the left of the 500 N.m torsional moment and A is on the right of it. Round-up your answers to the nearest 1/100th of an MPa. y 35 mm 20 mm 500 N.m 35 mm- 300 N.m Torsional shear stress at A = MPа %3D Torsional shear stress at B = MPа Maximum shear stress = MPa %3Darrow_forward
- A circular solid cross-section cantilever is fixed at one end and bears a concentrated load P at the other. Over a 2m length, the diameter increases uniformly from 200 mm at the free end to 400 mm at the fixed end. At what distance from the free end will the bending stress in the cantilever be maximum? If the concentrated load P=30 KN, what is the maximum bending stressarrow_forwardPlot the shear-stress distribution over the cross section of a rod that has a radius c. By what factor is the maximum shear stress greater than the average shear stress acting over the cross section?arrow_forwardSolbe this.arrow_forward
- The Z-section of Example D-7 is subjected to M = 5 kN · m, as shown. Determine the orientation of the neutral axis and calculate the maximum tensile stress c1and maximum compressive stress ocin the beam. Use the following numerical data: height; = 200 mm, width ft = 90 mm, constant thickness a = 15 mm, and B = 19.2e. Use = 32.6 × 106 mm4 and I2= 2.4 × 10e mm4 from Example D-7arrow_forward4arrow_forwardDetermine the shear stress and bending moment lines under load as shown in the figure below.arrow_forward
- Solve for the indentation diameter if the BHN of the material is 70 and a 500 kg of load is applied? Use indenter diameter 10mm.arrow_forwardAnswer #1 and use AREA METHOD only. Thank you so much!arrow_forwardA shaft used in an aircraft engine is 50 mm diameter, the maximum allowable shear stress is 84 MN/m². Find the torsional strength of the shaft. If the shaft now has a hole bored in it, find the percentage reductions in strength and mass. a. If the hole is 40 mm diameter b. If the hole is 25 mm diameter.arrow_forward
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