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 15.68SP
Calculate the maximum permissible span length for a 3-in.-diameter solid steel shaft used as a cantilever beam. The maximum deflection due to the weight of the shaft may not exceed 0.2 in.
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A cantilever 8m long carries a uniformly distributed load of 12kN/m from midspan to free end. Determine the deflection at the free end, Find the smallest moment of inertia (in x10^6 mm^4) so that its maximum deflection does not exceed the limit of 1/360 of the span. Use E = 70 GPa. Determine the required depth of beam if it is a rectangular section with width-to-depth ratio of 0.5.
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Current Attempt in Progress
For the beam and loading shown, use discontinuity functions to compute
(a) the slope of the beam at C (positive if counterclockwise and negative if clockwise).
(b) the deflection of the beam at C.
Assume LAB = 230 mm, LBc = 170 mm, LCD= 130 mm, LDE = 290 mm, Mg = 280 N-m, P = 1260 N and a constant value of El = 510 x 106 N-
mm2 for the beam.
MB
|B
C
|D
LAB
LBC
LCD
LDE
Answers:
rad
(a) Oc =
mm
(b) vc=
N5
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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- A simply supported beam is subjected to a uniform service dead load of 1.2 kips/ft (including the weight of the beam), a uniform service live load of 1.8 kips/ft. The beam is 40 feet long, and it has continuous lateral support. If A992 steel is used, and the live load deflection must not exceed L/360, Is a W30 x 99 adequate? (for moment, shear, and deflection).arrow_forwardA 1m span beam carrying UDL of 384N/m whose is maximum deflection at centre 5/EI -5/EI 7/EI -7/EI Why please explain me? Ans is -5/EIarrow_forwardExample 12.7. A simply supported beam of span 8 m carries a point load of 20 kN at a distance of 6 m from the left end. Compute (a) the slope at the left end (b) the deflection under the load (c) the deflection at the mid-span and (d) the maximum deflection and its location. Take E = 2 × 10° N/mm? and I = 6 x 10° mm'. %3D %3Darrow_forward
- For the beam and loading shown, use discontinuity functions to compute (a) the slope of the beam at B and (b) the deflection of the beam at C. Assume a constant value of El = 40 x 10^6 Ib-ft^2 for the beam; wo= 6200 Ib/ft, LAB = 3.0 ft, LBC = 6 ft, LCD = 3 ft.arrow_forwardIf the "I" value of beam cross section is 6,400,000 mm and the maximum distance from the neutral axis of the cross section to the top and bottom edges of the beam cross section is 139 mm, what is the section modulus of the beam? Note: Give your answer in mm3 Note: Do NOT include units in your answer. Answer:arrow_forwardFor the beam and loading shown, use discontinuity functions to compute(a) the slope of the beam at C (positive if counterclockwise and negative if clockwise).(b) the deflection of the beam at C.Assume LAB = 210 mm, LBC = 140 mm, LCD = 120 mm, LDE = 260 mm, MB = 200 N-m, P = 1080 N and a constant value of EI = 590 × 106 N-mm2 for the beam.arrow_forward
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- Q8b. The beam section below is solid and homogenous and has the following dimensions: b, = 65 mm (top flange width), b2 = 65 mm (bottom flange width) and bz = 25 mm (web width). d;=175 mm (section depth), d2=25 mm (top flange depth) and d3= 30 mm (bottom flange depth). For the solid homogeneous beam section shown below, determine its centroid coordinate y relative to the origin (0, 0) of the x-y axes. Give your answer for y in millimetres (mm) to two decimal places. b1 d2 ba dil b2arrow_forwardFor the beam and loading shown, calculate the value of the slope and deflection of the NA at midspan, assuming that beam AB is a W21* 101 rolled shape and that wo = 5.2 kips/ft, Mo-2185.3 kip.ft, L = 20.5 ft, and E= 29 × 106 psi. y A Mo -L- Wo Barrow_forwardConsidering a uniform beam of 1 m long simply supported at both ends, theBending moment is given by the following relation:arrow_forward
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