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 15.20P
For Problems 15.15 through 15.26, use the moment-area method.
15.20 Using the moment-area method, check the deflection obtained in Problem 15.9.
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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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- For the beam and loading shown, use discontinuity functions to compute: (a) the deflection VA of the beam at A, and (b) the deflection Vmidspan of the beam at midspan (i.e., x = 2.45 m). Assume a constant value of El = 1270 kN-m² for the beam; M₁ = 9 kN-m, wo = 19.8 kN/m, LAB = 1.1 m, LBc = 2.7 m. MA A Answer: (a) VA = (b) Vmid i LAB i Wo B LBC mm. mm.arrow_forwardCompute the slopes at A and C and the deflection at D for the beam shown in Q.2. Also, locate and compute the magnitude of the maximum deflection.arrow_forward1.Calculate the 2nd moment of area for a beam with a length of 200 mm, a width of 20 mm and a height of 3 mm. 2. For the same beam, and using the provided equations, calculate the maximum deflection if the beam was cantilevered, had a Young's modulus of 207 GPa and had a load of 2.5 N applied at the free end.arrow_forward
- Refer to the previous problem. Calculate the resulting maximum positive moment (kN-m). O 77.4 O 96.8 O 54.4 O 108.8 SITUATION. A simply supported beam has a span of 12 m. It carries a total uniformly distributed load of 21.5 kN/m. To prevent excessive deflection, a support is added at midspan. Calculate the reaction (kN) at the added support. O 96.75 O 161.25 80.62 O 48.38 PLS ANSWER ASAP THANKSarrow_forwardA wood beam carries a bending moment of 15 500 lb-in. It has a rectangular cross- section of 1.50 in. wide x 7.25 in. high. Compute the maximum stress due to bending in the beamarrow_forwardPlease draw by deriving SF and BM equations for each sections.Draw a labelled diagram mentioning valus at key points. Thank youarrow_forward
- Calculate the modulus of section of rectangle beam of breadth 120 mm and height 200 mm.arrow_forward3. Calculate the slope and deflection at the 60-kNm couple on the structure shown in the accompanying illustration. Use: a. Moment Area Method, b. Conjugate Beam Method 4 kN/m Fixed Hinge 60 kNm 5 m -5 m 5 m -5m I=1.46 x 10° mm". E=200000MPa Activate Windows so to Settings to activate W ndows.arrow_forwardCompute the initial deflection of the beam at midspan under service loads with the following specifications: f'c = 4000 psi, 36-inch height, depth of rebar assumed to be 3 inches less than the height, 16-inch width, 4 #9 bars (tension), Grade 60 rebar, 30' clear spans, service loads of: DL = 0.25k/ft, LL = 1.2k/ft. The DL does NOT include self-weight of the beam or of the precast concrete deck planks that have a weight of 60 PSF. The beam picks up a tributary width of 12 feet. Also, note that this beam is continuous and is the middle beam of 5 equal spans. Check the initial deflections against the ACI deflection requirements. Then calculate the long-term deflections and check those against the ACI requirements. For both situations, assume that finish materials will be attached to the beam. Last: Instead of performing a structural analysis to determine the maximum deflection in the beam, conservatively figure that the maximum deflection will be 60% of what it would have been for a…arrow_forward
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