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 14, Problem 14.27CP
For the following computer problems, any appropriate software may be used. Input prompts should fully explain what is required of the user (the program should be user-friendly). The resulting output should be well labeled and self-explanatory.
14.27 Repeat Problem 14.26, except now assume the beam to be a hot-rolled steel wide flange shape. User input will be span length, uniform load intensity, and the following dimensions for the shape: overall depth, thickness and width of the flange, and the web thickness. Assume the unit weight of the steel to be
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Solve the following problems in the prescribed manner on a clean sheet of paper. Capture images of
your work, convert it into pdf then submit on or before the given deadline.
Problem:
1. The cantilever beam shown has the following dimensions: a = 300 mm; b = c = 400 mm; d =g%3D
24 mm; e = g= 96. The loads are w, = 2 kN/m and P = 3 kN. Determine the maximum bending
stress and the maximum shear stress in the beam.
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P
a
6.
SHOW YOUR SOLUTIONS PLS
INSTRUCTIONS:
A beam having a tee-shaped cross section is subjected to equal 18 kN-m bending moments, as shown. Assume bf = 125 mm, tf = 25 mm, d = 185 mm, tw = 20 mm. The cross-sectional dimensions of the beam are also shown.
Use these information to answer questions 1-5.
QUESTIONS:
1) Determine the centroid location (measured upward from the bottom), in mm rounded to the nearest tenths.
2) With reference to problem 2, determine the moment of inertia about the z axis. Express your answer in (106) mm4 rounded to three significant figures.
3) With reference to problem 2, determine the controlling section modulus about the z axis. Express your answer in (103) mm3 rounded to three significant figures.
4) With reference to problem 2, determine the bending stress at point H (positive if tensile and negative if compressive). Express your answer in MPa rounded to the nearest hundredths.
5) With reference to problem 2, determine the maximum bending stress…
In order to determine the magnitude of the internal forces, a FBD must be cut.
It is difficult to determine where a cut should be made in order to reveal the Maximum Internal Forces, thus we have put the distance to the cut in terms of 'x', and plot the equation.
In my lecture we took a generic portion of a Beam and applied equilibrium and saw that Loading, Shear and Moment are related to each through differential equations. Change in Shear is the Area under the Loading diagram. Change in Moment is the Area under the Shear Diagram.
Using Graphic Integration draw the shear and moment diagrams for the given beams and loading.
Chapter 14 Solutions
Applied Statics and Strength of Materials (6th Edition)
Ch. 14 - Calculate the section modulus for: (a) a 6 -in-by-...Ch. 14 - Calculate the section modulus (with respect to the...Ch. 14 - Prob. 14.3PCh. 14 - Rework Problem 14.3 changing the orientation of...Ch. 14 - Assume that the timber member (a) of Problem 14.2...Ch. 14 - The structural steel built-up member (b) of...Ch. 14 - A round steel rod, 25 mm in diameter, is subjected...Ch. 14 - A square steel bar, 38 mm on each side, is used as...Ch. 14 - Calculate the moment strength for a W36302...Ch. 14 - Calculate the allowable bending moment for a solid...
Ch. 14 - The beams of cross sections shown are subjected to...Ch. 14 - A solid rectangular simply supported timber beam 6...Ch. 14 - A W1430 supports the loads shown. Calculate the...Ch. 14 - If the allowable shear stress is 100 MPa,...Ch. 14 - A steel pin 112 in diameter is subjected to a...Ch. 14 - A timber power-line pole is 10 in. in diameter at...Ch. 14 - Calculate the value of S and Z and the shape...Ch. 14 - For beams that have cross sections as shown for...Ch. 14 - Calculate the maximum load P that the beam shown...Ch. 14 - A 412 (S4S) hem-fir timber beam carries a...Ch. 14 - A simply supported W1636 A992 steel beam carries a...Ch. 14 - A W250115 steel wide-flange section supports a...Ch. 14 - Assume that the floor joist dimensions of Example...Ch. 14 - Calculate the allowable superimposed uniformly...Ch. 14 - A 3 -in.-by- 12 -in. (S4S) scaffold timber plank...Ch. 14 - For the following computer problems, any...Ch. 14 - For the following computer problems, any...Ch. 14 - For the following computer problems, any...Ch. 14 - Calculate the section modulus with respect to the...Ch. 14 - The timber box section (a) of Problem 14.29 is...Ch. 14 - A timber beam is subjected to a maximum bending...Ch. 14 - Rework Problem 14.31 assuming that the beam is...Ch. 14 - A 12 -in.-diameter steel rod projects 2 ft...Ch. 14 - Calculate the maximum bending stress in a W530101...Ch. 14 - A cantilever cast-iron beam is 6 ft long and has a...Ch. 14 - 14.36 Calculate the moment strength for a...Ch. 14 - A W813 steel wide-flange beam on a 20 -ft span is...Ch. 14 - A simply supported beam with a cruciform cross...Ch. 14 - A rectangular beam 100 mm in width and 250 mm in...Ch. 14 - The timber box section (a) of Problem 14.29 is...Ch. 14 - For the I-shaped timber beam shown, calculate the...Ch. 14 - 14.42 A steel wide-flange beam is oriented so that...Ch. 14 - A W1045steel wide-flange beam supports a uniformly...Ch. 14 - 14.44 A steel wide-flange section is subjected to...Ch. 14 - A W30108 steel wide-flange beam is simply...Ch. 14 - A W612 is strengthened with a 34 -in.-by- 34 -in....Ch. 14 - Four wood boards 1 in. by 6 in. in cross section...Ch. 14 - A lintel consists of two 8 -in.-by- 12 in. steel...Ch. 14 - A 50 -mm-by- 300 -mm scaffold timber plank, placed...Ch. 14 - A laminated wood beam is built up by gluing...Ch. 14 - A rectangular hollow shape carries loads as shown....Ch. 14 - For the beam shown, calculate the maximum tensile...Ch. 14 - 14.53 A box beam is built up of four -in.-by--in....Ch. 14 - 14.54 Find the value of the loads P that can be...Ch. 14 - 14.55 Solve Problem 14.54 assuming that the timber...Ch. 14 - Calculate the values of S and Z and the shape...Ch. 14 - 14.57 A is supported on simple supports on a -ft...
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- 2:36 | 11 local_m...0408289 Gate Liquid 3 m -3 ft- FIGURE 4.0 1 m 60 FIGURE 1.0 TASK 2: Solve the value of buoyancy using Archimedes' Principle Problem Solving Instructions; Analyze and solve the following problems. Enclose your final an- swer in a box. 1. A block of steel (sg=7.85) will float at a mercury-water interface. What will be the ra- tio of x and y for this condition. 2. An iceberg in the ocean floats with one seventh of its volume above the surface. What is its specific gravity relative to the ocean water? What portion of its volume would be above the surface if ice were floating in pure water? sg=10.10KN/m^3 3. A rectangular 9m wide, 15m long, and 3.6m high has a draft in sea water of 2.4m. Its center of gravity 2.5m above the bottom of the scow. Determine the initial metacen- tric height and the righting moment or overturning moment when the scow tilts until one side is just at the point of submergence. 4. Water backs up behind a concrete dam as shown infigure 1. Leakage…arrow_forwardUse the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=4.0 ft, b-8.0 ft, c-4.0 ft, d=3.0 ft, w = 6.5 kips/ft and P = 45 kips. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise. A a a B Part 2 b d For this loading, calculate the reaction forces Ay and Ey acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since Ax = 0, it has been omitted from the free-body diagram.) Save for Later B W Answers: Ay = i 37.575 eTextbook and Media W AV=P₂ b C V₁ - V₁ = Sw(x) dx C C с D + D d kips, Ey= M₂ E i E ZA x Ey X Incorrect If your answer for part (a) or (e) is incorrect, recall that concentrated loads create discontinuities in the shear-force diagram. Refer to the table below (Construction Rules for Shear-Force and Bending-Moment Diagrams), Rule 1. At…arrow_forwardPart B Draw the moment diagram for the beam. Click on "add vertical line off" to add discontinuity lines. Then click on "add segment" button to add functions between the lines. Note - Make sure you place only one vertical line at places that require a vertical line. If you inadvertently place two vertical lines at the same place, it will appear visually correct because the lines overlap, but the system will mark it wrong. No elements selected M (kip.ft) 80 70 60 50 40 30 20 10- 00 -10 -20- -30- -40- -50 -60 -70- -80 -12 ft- 3 kip/ft 14 6 ft z (ft) Press TAB to navigate between elements on the canvas. Press (ALT+M) to get to the main menu. Press [ALT+A to modify the attributes. Press (ALT+Q) to quit the application. Revic Wrangarrow_forward
- You are a structural Engineer who works in Dar Al Handasah company. Your manager has called for a meeting and provided you with the below schematic design of a concrete beam that might be implemented at one of the sites. You were requested to calculate the following: (make 15 KN bold) 40 KN 15 KN 20 KN 45 30 KN 40 KN 16 20 Figure 1: Concrete Beam 1. Find the equivalent forces of the disturbed loads. 2. Sketch the beam showing all the applied forces (reaction and equivalent forces) and allocate them into their suitable locations proper points. 3. Apply the moment equations in the equilibrium state to find the value of the reaction forces at points A and B. 4. If the given beam in Figure 1 compressed shrank to be 19.98 meter where the original temperature was at the given temperature T1=200 K, find the temperature (T2) after the compression shrinking.arrow_forwardUse the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=4.0 ft, b=8.0 ft, c=4.0 ft, d=3.0 ft, w = 6.5 kips/ft and P = 45 kips. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise. A A a B a B W Answers: Ay = i b d For this loading, calculate the reaction forces Ay and Ey acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since Ax = 0, it has been omitted from the free-body diagram.) W с b C C P C D P kips, Ey = d E i E X 'y x kips.arrow_forwardProblem 1: For the truss under the following 3 loading conditions, determine the minimum cost of each truss based on the following: Wood (popsicle sticks) - $100/stick • Cable (thread) - $10/section Please note that all members of the truss are the same length. Given this information, it doesn't matter what length you use, or what "X" is, but if it helps, just make up numbers, i.e. length of 5" and X of 10lbs. In class we will be using members that are approximately 6" long and weights that are approximately % Ib, although on the weights we can just add more to get the desired effect. Come to class with design in hand prepared to assemble the 3 different trusses to test with loads. A) x (lbs) B) x (lbs) x (lbs) x (Ibs) C) x (Ibs) 2x (Ibs)arrow_forward
- Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=4.0 ft, b=8.0 ft, c=4.0 ft, d=3.0 ft, w = 6.5 kips/ft and P = 45 kips. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise. A a B a b For this loading, calculate the reaction forces Ay and Ey acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since Ax = 0, it has been omitted from the free-body diagram.) W B W ÎÎÎÎÎÎ b C C d E d E X Ey Xarrow_forward3. (hint-one region determinate) y, v(x) L Wo B Xarrow_forwardUse the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=3 ft, b=9 ft, c=3 ft and w=3 kips/ft. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise. a a * Answers: Ay = Calculate the reaction forces Ay and Cy acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since Ax = 0, it has been omitted from the free-body diagram.) B t b P W b W C- C₂ с kips, Cy= p D -X kips.arrow_forward
- Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=3.5 ft, b=9.0 ft, c=4.0 ft, d=3.5 ft, w = 5.5 kips/ft and P = 45 kips. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise. For this loading, calculate the reaction forces Ay and Ey acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since Ax = 0, it has been omitted from the free-body diagram.) Ay =___________ kips, Ey = __________ kips. Determine the shear force acting at each of the following locations:(a) x = 0+ ft (i.e., just to the right of support A)(b) x = 3.5 ft(c) x = 12.5 ft(d) x = 16.5– ft (i.e., just to the left of D)(e) x = 16.5+ ft (i.e., just to the right of D)(f) x = 20.0– ft (i.e., just to the left of support E) Answer: a to f ) V = ________ kips Use the graphical…arrow_forwardPhysics In a simple supported beam , write the moment equation of the beam shown in this video if it is loaded with 10 kN/m uniformly distributed over the entire simple span of 4 meters and a concentrated load of 20 kN applied 2 meters from the left support. Present your answer using the GAPSA form by indicating all the given data, what is being asked in the problem, the appropriate formula, the entire solutions / calculations and the answer accompanied with corresponding unit of measurement. Thank you.calculate the moment equation and the segment ,using double integration methodarrow_forwardDraw the free body diagram for the following beam. 10 N/m 20 KN 8N -m 15 N/m A 5 m. 2 m 8 m 5 m. Maximum size for new files: 80MB IIarrow_forward
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