MECHANICS OF MATERIALS
11th Edition
ISBN: 9780137605521
Author: HIBBELER
Publisher: RENT PEARS
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Textbook Question
Chapter 11, Problem 5RP
Select the lightest-weight wide-flange beam from Appendix B that will safely support the loading. The allowable bending stress is σallow = 22 ksi and the allowable shear stress is τallow = 22 ksi.
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Draw the shear-force and bending-moment diagram for the beam shown. Assume the upward reaction provided by the ground to be uniformly distributed. Let a = 5.0 ft, b = 3.4 ft, P = 25 kips, and w = 1.1 kips/ft. Label all significant points on each diagram. Determine the maximum value of (a) the internal shear force and (b) the internal bending moment.Note that answers may be positive or negative. Here, "maximum" refers to the largest magnitude value, but you should enter your shear force and bending moment with the correct sign, using the sign convention presented in Section 7.2 of the textbook. If the magnitudes of the largest positive and largest negative values are the same, enter a positive number.
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 the minimum width of the beam to the...Ch. 11.2 - if P=10 kip.Ch. 11.2 - The beam has an allowable normal stress of allow...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 - 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 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 - The tapered beam supports a uniform distributed...Ch. 11.2 - Determine the variation in the depth d of a...Ch. 11.2 - Prob. 41PCh. 11.2 - The pulleys fixed to the shaft are loaded as...Ch. 11.2 - Prob. 43PCh. 11.2 - Prob. 44PCh. 11 - The cantilevered beam has a circular cross...Ch. 11 - Select the lightest-weight wide-flange overhanging...Ch. 11 - Prob. 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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- solve step by step draw FBDarrow_forwardThe 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.arrow_forwardThe beam is a pin connection at A, a roller support at B and external load 50 kN. (1) Draw the shear and moment diagrams for the beam. (Hint: you must work out using method of section) (2) The dimension of the cross section is given, determine the maximum bending stress at the beam.arrow_forward
- B8arrow_forwardCalculate the normal stress, shear stress, and bending deformation of the beam. (Point A has a pinned support, while point C has a roller support)arrow_forwardSelect the lightest-weight wide-flange beam from Appendix B that will safely support the loading. The allowable bending stress is sallow = 22 ksi and the allowable shear stress is tallow = 12 ksi.arrow_forward
- A beam fabricated from western white pine has been reinforced by bonding steel strips on its top and bottom 1.5 ksi in the surfaces as shown. If the design is limited to wood = 1.5 ksi in the wood and a steel wood and steel = 35.6 ksi in the steel, determine the maximum bending moment if the beam bends about its vertical axis of symmetry. L3 Given: • L₁= 10 in • L₂ L₂ = 0.9 in • L3= 5.3 in Mmar SEHERAPECES SANTREMANEN La prender PERANAN PE P number (rtol-0.01, atol=1e-05) STEEL E WOOD N.A. L₁ kip. in L₂ L₂ Phuarrow_forwardA W360 × 72 standard steel shape is used to support theloads shown on the beam in Figure a. The shape is oriented sothat bending occurs about the weak axis, as shown in Figure b.Consider the entire 6 m length of the beam, and determine(a) the maximum tensile bending stress at any location along thebeam and(b) the maximum compressive bending stress at any locationalong the beamarrow_forwardIf the beam is subjected to an internal moment of M = 2 kip # ft, determine the maximum tensile and compressive stress in the beam. Also, sketch the bending stress distribution on the cross section.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