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 15.11P
For Problems 15.7 through 15.14, use the formula method.
15.11 A
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Compute 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…
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 THANKS
A cantilever beam shown carries a concentrated load of 20 kN at point C. Assume constant value of E.
Compute the deflection at C.
Compute the slope at C.
Compute the deflection at B.
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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- 3. 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_forwardFor 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_forwardOn a formatted bond paper, copy and solve the problem. Show your neat and detailed solution. Use three (3) decimal places for your answers and enclosed it in a box. Compute the deflection and slope at a section 8 ft from the wall for the beam shown in the figure using Double Integration Method. Assume that E = 28 x 103 psi and 1= 30.75 1200 lb in4. A 800 lb/ft -8 ft -8 ft Barrow_forward
- derive the deflection curve v(x) and compute the maximum deflection v max and maximum slope @_max. 7 V L W Vmax -X maxarrow_forwardA beam of uniform rectangular section 100 mm wide and 240 mm deep is simply supported at its ends. It carries a uniformly distributed load of 9.125 kN/m run over the entire span of 4 m. Estimate the deflection at the centre if E = 1.1 x 104 N/mm2.arrow_forward(use EI constant for whole span). A 10-meter-span, propped beam (fixed at the left support and roller at right support), with a uniformly distributed load from left support to six meters to the right, with a magnitude of six kilonewton per lineal meter, a downward concentrated load at the midspan. Solve the reactions at the fixed support and roller support, slope and deflection at the roller support, using Area Moment Method. Use the concentrated load as 24 kN.arrow_forward
- 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.arrow_forwardCalculate the slope at C using ONE of these methods: double integration method, area-moment and conjugate beam method. Also, determine the deflection at C using EITHER virtual work method or Castigliano theorem method. Set P = 10 kN, w = 2 kN/m, support A is pin and support B is roller. ... 1 marrow_forwardUse virtual unit load methodarrow_forward
- 14.12 The cantilevered beam shown in then accompanying figure is used to support a load acting on a balcony. The deflection of the centerline of the beam is given by the following equation: -wx? y=. (x²-4Lx+6L) 24EI where (o y = deflection at a given x location (m) distributed load (N/m) W = gle E = modulus of elasticity (N/m²) I = second moment of area (m*) x = distance from the support as shown (x) ded nd L = length of the beam (m) ween e air Problem 14.12 ELA maldov or Using Excel, plot the deflection of a beam whose length is 5 m with the modulus of elasticity of E =200 GPa and I= 99.1×10° mmª. The beam is designed to carry a load of 10,000 N/m. What is the maximum deflection of the beam? how a the car ermine e air resis-arrow_forwardplease translate the following problem descriptions into al diagrammatic representation, solve for/draw the shear force and bending moment diagrams and find the deflection and/or slope as indicated: 3. A 16 ft. long simply supported beam is loaded by a 1 k/ft uniform distributed load for the first 6 ft. and (2) point loads, 3 kips each, at 9 ft. and 12 ft. A Structural No. 1 timber (E = 1,600,000 psi) is specified with nominal dimensions of 6x12. Find the magnitude and location of the maximum deflection.arrow_forwardPls help ASAParrow_forward
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