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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Textbook Question
Chapter 14, Problem 14.21P
A simply supported
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This is a stainless steel beam with a circular cross section and a diameter of 7 centemeters.
Calculate the reations at the fixed support and draw the bending moment, axial load, torque, shear
force diagrams each with equaitions work shown.
please 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.
A 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).
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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- AWT305 x 41 standard steel shape is used to support the loads shown on the beam. The dimensions from the top and bottom of the shape to the centroidal axis are shown in the sketch of the cross section. Assume LAB = 3 m, LBC= 6 m, LCD= 4 m, PA = 10 kN, WBC = 7 kN/m. Consider the entire 13-m length of the beam and determine: (a) the maximum tension bending stress or at any location along the beam, and (b) the maximum compression bending stress oc at any location along the beam. A PA LAB B WBC LBC T WT305 x 41 LCD ↑ 88.9 mm. 211.1 mm D Xarrow_forwardAWT305 x 41 standard steel shape is used to support the loads shown on the beam. The dimensions from the top and bottom of the shape to the centroidal axis are shown in the sketch of the cross section. Assume LAB = 3 m, LBc = 7 m, LCD = 2 m, PA = 17 kN, WBC = 10 kN/m. Consider the entire 12-m length of the beam and determine: (a) the maximum tension bending stress or at any location along the beam, and (b) the maximum compression bending stress oc at any location along the beam. PA LAB Answers: (a) σT = (b) oc = i i B WBC LBC LCD Ť WT305 x 41 88.9 mm 211.1 mm MPa. MPa. Darrow_forwardAWT305 x 41 standard steel shape is used to support the loads shown on the beam. The dimensions from the top and bottom of the shape to the centroidal axis are shown in the sketch of the cross section. Assume LAB = 2 m, LBC= 5 m, LcD = 1 m, PA = 12 kN, WBC = 12 kN/m. Consider the entire 8-m length of the beam and determine: (a) the maximum tension bending stress or at any location along the beam, and (b) the maximum compression bending stress oc at any location along the beam. A PA LAB Answers: (a) OT = (b) oc = B i 62.19 i 25.81 WBC LBC 1 WT305 x 41 C LCD 88.9 mm 211.1 mm MPa. MPa. D xarrow_forward
- AWT305 x 41 standard steel shape is used to support the loads shown on the beam. The dimensions from the top and bottom of the shape to the centroidal axis are shown in the sketch of the cross section. Assume LAB = 3 m, LBc = 7 m, LcD = 1 m, PA = 9 kN, WBC = 11 kN/m. Consider the entire 11-m length of the beam and determine: (a) the maximum tension bending stress or at any location along the beam, and (b) the maximum compression bending stress oc at any location along the beam. A PA LAB B WBC LBC C Z + WT305 x 41 LCD 88.9 mm 211.1 mm Xarrow_forwardA WT305 x 41 standard steel shape is used to support the loads shown on the beam. The dimensions from the top and bottom of the shape to the centroidal axis are shown in the sketch of the cross section. Assume LAg - 2 m, Lac- 7 m, Lco- 4 m, PA- 14 kN, Wac- 8 kN/m. Consider the entire 13-m length of the beam and determine: (a) the maximum tension bending stress or at any location along the beam, and (b) the maximum compression bending stress oc at any location along the beam.arrow_forward12 ok nces Required information For the simply supported beam shown, let a=6 ft, b=4 ft, and P= 800 lb. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Determine the shear and moment as functions of position. Enter positive or negative numbers for the internal forces based on the standard sign convention for internal forces. The shear and moment are as follows: V= Ib and M=([ lb and M=( V= b)x for 0 sxs 6 ft Ib)(10 ft-x) for 6 ft sxs 10 ftarrow_forward
- Alaminated beam is composed of three planks, each 150mm. by 60mm, glued together to form a section 150mm wide by 180mm high. The allowable shear stress in the glue is 600kPa, the allowable shear stress in the wood is gook Pa, and the allowable flexure stress in the wood is 8 MPa. Determine the maximum uniformly distributed load which can be carried by the beam on a 2-m simple span.arrow_forwardThe wood beam supports loads of w = 410 Ib/ft and P = 840 lb on span lengths of LAB = 10.8 ft, LBC = 5.4 ft, and LcD= 5.4 ft. The beam cross section has dimensions of bq = 1.9 in., dq = 5.7 in., b2 = 5.0 in., and d2 = 14.95 in. Determine the magnitude and location of: (a) the maximum horizontal shear stress in the beam. (b) the maximum tensile bending stress in the beam. %3D %3D P d d2 В C D LAB LBC LCD b2 Answer: (a) Tmax psi (b) Omax psiarrow_forwardConsider the simple span prismatic beam shown below, pin supported at the left end and roller supported at the right end, with a partial uniform load of 5 kips per foot and a 12 kip concentrated load applied at midspan as indicated (recall 1 kip = 1000 pounds). Complete the following: Sketch the shear and moment diagrams for the beam, indicating critical values for both shear and moment (maximum, minimum, etc.). Develop the equations describing the variation of shear and moment with x on the interval 4’-0 ≤ x ≤ 13’-0.arrow_forward
- A WT305 x 41 standard steel shape is used to support the loads shown on the beam. The dimensions from the top and bottom of the shape to the centroidal axis are shown in the sketch of the cross section. Assume LAB = 3 m, LBc = 7 m, LcD = 2 m, PA = 17 kN, WBC = 10 kN/m. Consider the entire 12-m length of the beam and determine: (a) the maximum tension bending stress or at any location along the beam, and (b) the maximum compression bending stress oc at any location along the beam. PA LAB Answers: (a) 07 = (b) oc= B 287.45 121.1 WBC LBC WT305 x 41 MPa. LCD क 88.9 mm 211.1 mm MPa. Xarrow_forwardQ5: A steel beam of length 7m is built in at both ends. It has a depth of 500mm and the second moment of area is 250 10* m'. Calculate the load which falling through a height of 75mm on to the center of the span, will produce a maximum stress of 150MN/m'. What would be the maximum deflection if the load were gradually applied? Take E = 200GN/m². %3!arrow_forwardGive the required I, for a simply supported beam 20' long with a uniformly distributed total service load of 800 plf throughout the full length of the beam. Assume A992 steel and a W-flange member. 0.69 inª 96.00 in O 690.00 in 960.00 inarrow_forward
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