Applied Statics and Strength of Materials (6th Edition)
6th Edition
ISBN: 9780133840544
Author: George F. Limbrunner, Craig D'Allaird, Leonard Spiegel
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 15, Problem 15.9P
For Problems 15.7 through 15.14, use the formula method.
15.9 Compute the maximum deflection of a
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
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.
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-
Calculate the deflection at midspan for the
beam in Figure 15.250. The beam is a 4-in.
nominal diameter standard-weight steel pipe.
Neglect the weight of the beam.
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...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- For the prismatic beam and load shown in fig. determine the slope and deflection at point Darrow_forwardA 16 ft long, simply supported beam is subjected to a 4 kip/ft uniform distributed load over its length and 18 kip point load at its center. If the beam is made of a W14x30, what is the deflection at the center of the beam in inches? The quiz uses Esteel = 29,000,000 psi. Ignore self-weight.arrow_forwardCompute the maximum deflection of the beam using double integration methodarrow_forward
- FULLY explain and show how to get the answer. Use the tables below to find the answer. This is a 3 part question please do each of them A W shape is to be used for a uniformly loaded simple beam carrying a total dead load of 30 kips and a total live load of 40 kips on a 24-ft span. Select the lightest weight shape for unbraced lengths of (1) 6 ft, (2) 8 ft, and (3) 12 ft. Mu=300, Mn=333.33, and Zx=80 Use the equation here to find the final answer. Mp-(Mp-Mr)(Lb-Lp/Lr-Lp)arrow_forwardFor 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_forwardSelect the lightest wide flange steel section for simple beam of 10 ft span that will carry a uniform load of 10 kips/ft. Use A36 and assume that the beam is supported laterally for its entire length. [Hint: V max = WL/2; M max = L WL²/8]arrow_forward
- 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 marrow_forwardA 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 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_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_forwardA 10 × 10 beam of Douglas fir–larch select structural gradesupports a single concentrated load of 10 kips at the center of the span. Investigate the beam for sheararrow_forwardQ1. A cantilever beam is carrying a UVL of 20000N starting at the free end and extends to 100000N to fixed end over a span of 5000mm. The beam also carries 2-point loads of 1000N and 5000N acting on free end and 2m from free end respectively. The material has the modulus of elasticity of 2.05x10^5 N/mm2. Calculate the deflection for the beam considering an addition UDL of 7kN/m for a span of 2 m starting from fixed support. This beam is made up of a unique shape with a block of 200mm x 250mm which had a top chopped off from top with a radius of 10cm.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
Types Of loads - Engineering Mechanics | Abhishek Explained; Author: Prime Course;https://www.youtube.com/watch?v=4JVoL9wb5yM;License: Standard YouTube License, CC-BY