7-21. If the beam is made from wood having an allowableshear stresS Tallow400 psi, determine the maximum%3Dmagnitude of P. Set d = 4 in.2PPAFIB2 ft-2 ft--2 ft2 in.-

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Answered: 7-21. If the beam is made from wood…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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A wood beam 200 mm wide by 240 mm deep is reinforced with 2-200 mm by 10mm thick steel plates at the top and bottom. The allowable bending stresses are 120 MPa for steel and 8 MPa for wood. Use Es/Ew = 20. Determine the maximum bending moment that can be carried safely by the beam. Convert wood to steel. a. Locate the NA from the bottom in mm ( Ÿ )b. Find the Moment of Inertia of the composite section in mm4 ( INA )c. Find the max moment capacity of the section in kN-m
A simply supported wood beam that is 13.5 m long carries a 36 kN concentrated load at B. The cross-sectional dimensions of the beam are b- 155 mm, d- 390 mm, a - 65 mm, and c- 30 mm. Section a-a is located at x- 2.3 m from B. (a) At section a-a, determine the magnitude of the shear stress in the beam at point H. (b) At section a-a, determine the magnitude of the shear stress in the beam at point K. (c) Determine the maximum horizontal shear stress that occurs in the beam at any location within the entire span. (d) Determine the maximum tensile bending stress that occurs in the beam at any location within the entire length. |P H d a В C L 2L 3 Answer: (a) TH - 0.33 kPa (b) TK - i 0.169 kPa (c) Tmax - 0.595 kPa (d) Omax" 27.486 MPa 3
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A simply supported wood beam of length L = 8 ft carries a concentrated load P at midspan, as shown. The cross- sectional dimensions of the beam are b = 7 in. and h = 13 in. If the allowable shear strength of the wood is 130 psi, determine the maximum load P that may be applied at midspan. Neglect the effects of the beam's self-weight. 12 Answer: P = IM P B 7/2 C X lb N b h

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7-21. If the beam is made from wood having an allowable shear stress Tallow = 400 psi, determine the maximum magnitude of P. Set d = 4 in. |2P 圣園B 2 in.