Mechanics of Materials (10th Edition)
10th Edition
ISBN: 9780134319650
Author: Russell C. Hibbeler
Publisher: PEARSON
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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 1m beam shown is subjected to 6 kN. if the beams has a rectangular cross section as shown
where
b = 0.2 m
h = 0.5 m
the maximum bending stress on the beam at section a-a when d = 0.3 m is
kPa
a
The 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 kip
Q1: 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.
Chapter 11 Solutions
Mechanics of Materials (10th Edition)
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 - The allowable bending stress is allow = 24 ksi and...Ch. 11.2 - Select the lightest-weight wide-flange beam from...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 - If each nail can support a shear force of 200 lb....Ch. 11.2 - If each beam is to be designed to carry 90 lb/ft...Ch. 11.2 - Determine its height h so that it simultaneously...Ch. 11.2 - The beam is constructed from four boards. If each...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 - If the glue can support a shear stress of allow, =...Ch. 11.2 - If the allowable bending stress is allow = 6 MPa,...Ch. 11.2 - Determine the width b if the height h=2b.Ch. 11.2 - The allowable bending stress is allow = 24 ksi and...Ch. 11.2 - if allow = 30 ksi and allow = 15 ksi. The journal...Ch. 11.2 - if allow = 30 ksi and allow = 15 ksi. The journal...Ch. 11.2 - Select the lightest-weight wide-flange beam from...Ch. 11.2 - The allowable bending stress is allow = 30 ksi and...Ch. 11.2 - The allowable bending stress is allow = 30 ksi and...Ch. 11.2 - If the maximum bending stress is not to exceed...Ch. 11.2 - Determine the maximum load that can safely be...Ch. 11.4 - Determine the variation in the width was a...Ch. 11.4 - The tapered beam supports a uniform distributed...Ch. 11.4 - The tapered beam supports the concentrated force P...Ch. 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 - The pulleys fixed to the shaft are loaded as...Ch. 11.4 - Prob. 11.43PCh. 11.4 - Prob. 11.44PCh. 11.4 - Prob. 11.45PCh. 11 - The cantilevered beam has a circular cross...Ch. 11 - Select the lightest-weight wide-flange overhanging...Ch. 11 - Prob. 11.3RPCh. 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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- A 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 shaft is subjected to the concentrated forces as shown in the figure below. There is a journal bearing at A and a thrust bearing at B. The allowable bending stress is σallow = 210 MPa. Determine, to the nearest mm, the smallest allowable diameter of the shaft.arrow_forwardThe bar is subjected to a moment of M = 60 Nm. Determine the smallest radius r of the fillets so that an allowable bending stress of σallow = 240 MPa is not exceeded.arrow_forward
- Determine the bending stress at point B and Carrow_forwardThe shaft is supported by smooth journal bearings at A and B that only exert vertical reactions on the shaft. If d = 90 mm, determine the absolute maximum bending stress in the beam, and sketch the stress distribution acting over the cross section.arrow_forwardThe eye hook has the dimensions shown. If it supports a cable loading of 800 lb, determine the maximum normal stress at section a–a and sketch the stress distribution acting over the cross section. Use the curved-beam formula to calculate the bending stress.arrow_forward
- If the beam is subjected to a moment of M = 100 kN # m, determine the bending stress at points A, B, and C. Sketch the bending stress distribution on the cross section.arrow_forwardThe aluminum strut has a cross-sectional area in the form of a cross. It is subjected tothe Moment M = 8 KN.m. (i) Determine the bending stress acting at points A and B; (ii)Determine the maximum bending stress in the beam and sketch a three dimensional view of thestress distribution acting over the entire cross-sectional area.arrow_forward5. If the radius of each notch on the pictured bending plate is r = 10 mm, determine the largest moment M that can be applied if the loading is of fatigue nature and the maximum allowable bending stress is 180 MPa. 20 mm 125 mm- 165 mm Marrow_forward
- The allowable bending stress for the bar is sallow = 200 MPa. Determine the maximum moment M that can be applied to the bar.arrow_forwardThe simply supported joist is used in the construction of a floor for a building. In order to keep the floor low with respect to the sill beams C and D, the ends of the joist are notched as shown. If the allowable shear stress is tallow = 350 psi and the allowable bending stress is s allow = 1700 psi, determine the smallest height h so that the beam will support a load of P = 600 lb. Also, will the entire joist safely support the load? Neglect the stress concentration at the notch.arrow_forwardDetermine the internal normal force and shear force, and the bending moment in the beam at points C and D. Assume the support at B is a roller. Point C is located just to the right of the 8-kip load.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