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 15.12P
For Problems 15.7 through 15.I4, use the formula method.
15.12 A
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Calculate 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 m
Figure 14.20 Full Alternative Text
14.21 A solid rectangular simply supported timber beam 6 in. wide, 20 in. deep,
and 10 ft long carries a concentrated load of 16,000 lb at midspan. Use nominal
dimensions.
a. Compute the maximum horizontal shear stress at the neutral axis.
b. Compute the shear stress 4 in. and 8 in. above and below the neutral
axis. Neglect the weight of the beam.
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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- A simple uniformly distributed 20 ft. beam carrying a load of 1000 lb./ft. is simply supported at both ends. Calculate the maximum deflection of the beam having a modulus of elasticity of 29 x 100 psi, and moment inertia of 250 in". A. 0.208 in. C. 0.67 in. B. 0.496 in. D. 1.220 in.arrow_forward14.12 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_forwardRefer 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_forward
- N5arrow_forwardView Policles 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=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
- 8. A solid aluminum cantilever beam is 40 cm in length and has a circular cross section with a diameter of 3.0 cm. Calculate the torsional stiffness of the beam, k,, in N-m/rad and the angular displacement at the end in deg when it is subjected to a moment of 20 N-m. 40 20 Cross-section 3.0arrow_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_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_forward
- Compute 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_forwardDon't copy from other websites. Carefull with given values. Rating depend on your solution Note: This is not a graded questionarrow_forwardA 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_forward
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