Mechanics of Materials
9th Edition
ISBN: 9780133254426
Author: Russell C. Hibbeler
Publisher: Prentice Hall
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Textbook Question
Chapter 11.2, Problem 11.12P
If each beam is to be designed to carry 90 lb/ft over a simply supported span of 25 ft, determine the dimension a of its square cross section to the nearest
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The beam is made of Douglas fir having an allowable bending stress of sallow = 1.1 ksi and an allowable shear stress of tallow = 0.70 ksi. Determine the width b if the height h = 2b.
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4 kip/ft
1/8" that will safely support the
loading shown. The allowable
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= 21 ksi
and the allowable shear stress is
12 ft
6 ft
= 10 ksi. The beam has a
Tallow
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Chapter 11 Solutions
Mechanics of Materials
Ch. 11.2 - Determine the minimum dimension a to the nearest...Ch. 11.2 - of the rod to safely support the load. The rod is...Ch. 11.2 - The wood has an allowable normal stress of allow =...Ch. 11.2 - of the beam's cross section to safely support the...Ch. 11.2 - Determine the minimum dimension b to the nearest...Ch. 11.2 - The beam is made of steel having an allowable...Ch. 11.2 - Determine its dimensions if it is to be...Ch. 11.2 - Determine the minimum width of the beam to the...Ch. 11.2 - if P=10 kip.Ch. 11.2 - If the allowable bending stress is allow = 22 ksi...
Ch. 11.2 - The allowable bending stress is allow = 24 ksi and...Ch. 11.2 - The allowable bending stress is allow = 22 ksi and...Ch. 11.2 - 11–7. Draw the shear and moment diagrams for the...Ch. 11.2 - *11–8. The simply supported beam is made of timber...Ch. 11.2 - The beam has an allowable normal stress of allow =...Ch. 11.2 - The beam has an allowable normal stress of allow...Ch. 11.2 - 11–11. The timber beam is to be loaded as shown....Ch. 11.2 - If each beam is to be designed to carry 90 lb/ft...Ch. 11.2 - 11–13. Select the lightest steel wide-flange beam...Ch. 11.2 - 11–14. Select the lightest-weight steel...Ch. 11.2 - Prob. 11.15PCh. 11.2 - The beam has an allowable normal stress of allow....Ch. 11.2 - Determine the maximum cable force P that can...Ch. 11.2 - to safely support the load. The wood has an...Ch. 11.2 - and the wood has an allowable normal stress of...Ch. 11.2 - Prob. 11.20PCh. 11.2 - Prob. 11.21PCh. 11.2 - Prob. 11.22PCh. 11.2 - 11–23. The beam is constructed from three boards...Ch. 11.2 - Prob. 11.24PCh. 11.2 - Prob. 11.25PCh. 11.2 - Select the lightest-weight wide-flange beam from...Ch. 11.2 - Prob. 11.27PCh. 11.2 - * 11–28. The joist AB used in housing construction...Ch. 11.2 - If the maximum bending stress is not to exceed...Ch. 11.2 - 11–30. The simply supported beam supports a load...Ch. 11.4 - Determine the variation in the width was a...Ch. 11.4 - Prob. 11.32PCh. 11.4 - Prob. 11.33PCh. 11.4 - The beam is made from a plate that has a constant...Ch. 11.4 - Determine the variation in the depth d of a...Ch. 11.4 - Determine the variation of the radius r of the...Ch. 11.4 - Prob. 11.37PCh. 11.4 - Determine the variation in the width b as a...Ch. 11.4 - The tubular shaft has an inner diameter of 15 mm....Ch. 11.4 - Prob. 11.40PCh. 11.4 - Prob. 11.41PCh. 11.4 - Prob. 11.42PCh. 11.4 - Prob. 11.43PCh. 11.4 - Prob. 11.44PCh. 11.4 - Prob. 11.45PCh. 11.4 - Prob. 11.46PCh. 11 - The cantilevered beam has a circular cross...Ch. 11 - Select the lightest-weight wide-flange overhanging...Ch. 11 - Prob. 11.49RPCh. 11 - Determine the shaft's diameter to the nearest...Ch. 11 - Select the lightest-weight wide-flange beam from...Ch. 11 - The simply supported joist is used in the...Ch. 11 - The simply supported joist is used in the...Ch. 11 - by 4-in. pieces of wood braced as shown. If the...
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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
- The bar has a thickness of 0.5 in. and is subjected to a moment of 600 lb # ft. Determine the maximum bending stress in the bar.arrow_forwardThe beam is made from three boards nailed together as shown. If the moment acting on the cross section is M = 1 kip # ft, determine the maximum bending stress in the beam. Sketch a three-dimensional view of the stress distribution acting over the cross section.arrow_forward2. If the allowable bending stress for the pictured overhanging beam is 6 MPa, determine the minimum dimension d of the beam's cross-sectional area to the nearest mm. 8 kN/m 4 m B 2 m- 12 kN 25 mm 75 mm 125 mm 75 mm 25 mmarrow_forward
- Determine the smallest allowable diameter of the shaft. The shaft is supported by a thrust bearing at A and a journal bearing at B. The allowable bending stress is sallow = 22 ksi.arrow_forwardThe timber beam has a width of 6 in. Determine its height h so that it simultaneously reaches its allowable bending stress sallow = 1.50 ksi and an allowable shear stress of tallow = 50 psi. Also, what is the maximum load P that the beam can then support?arrow_forwardDetermine, to the nearest millimeter, the smallest allowable diameter of the shaft which is subjected to the concentrated forces. There is a journal bearing at A and a thrust bearing at B. The allowable bending stress is sallow = 150 MPaarrow_forward
- Determine the minimum width of the beam to the nearest 1/4 in. that will safely support the loading of P = 8 kip. The allowable bending stress is sallow = 24 ksi and the allowable shear stress is tallow = 15 ksi.arrow_forwardThe beam has a square cross section and is made of wood having an allowable shear stress of Tallow= 1.4 ksi. If it is subjected to a shear of V= 1.5 kip, determine the smallest dimension a of its sides. Sketch the shear stress distribution acting across the beam's cross section. Hint: Construct the stress distribution in 2D similar to in-class examples, rather than isometrically similar to the textbook examples for clarity. V = 1.5 kiparrow_forwardQ1: For the given cross-section of a beam, determine the internal bending moment Mz actingabout the z centroidal axis of the beam, If the bending stress at point K is (-43) MPa. Alsodetermine the bending stress at point H.arrow_forward
- The beam is supported by a roller at B and a pin at C and is subjected to the distributed load shown with intensity w=300 N/m. Determine the largest positive and negative shear forces and internal bending moments that occur in the beam and the points along the length where each occurs. Take x = 0 to be at point A at the left edge of the beam. CC BY NC SA 2016 Eric Davishahl A X -a- B W -b- Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a b 3 m 4 m The maximum negative internal shear force is to the right of A. N and occurs at x The maximum positive internal shear force is to the right of A. The maximum negative internal bending moment is m to the right of A. The maximum positive internal bending moment is m to the right of A. N and occurs at x = Nm and occurs at x = Nm and occurs at x = ៩ m marrow_forwardA wide flange beam as shown below is subjected to a shear force V. Using the dimensions of the cross section, determine the following quantities: a. τmax in the webb. τmin in the webc. τmax/ τaverage of the webarrow_forwardThe moment acting on the cross section of the beam is M= 3.5 kip⋅ft. Determine the maximum bending stress in the beam.arrow_forward
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Mechanics of Materials Lecture: Beam Design; Author: UWMC Engineering;https://www.youtube.com/watch?v=-wVs5pvQPm4;License: Standard Youtube License