A composite beam is fabricated by bolting two 3.7-in-wide by 14-in.-deep timber planks to the sides of a 0.7-in. by 14-in. steel plate. The moduli of elasticity of the timber and the steel are 1830 ksi and 29000 ksi, respectively. The simply supported beam spans a distance of 15 ft and carries two concentrated loads P, which are applied as shown. Assume LAB = LCD= 4 ft, LBC = 7 ft, b = 3.7 in., d = 14 in. and t = 0.7 in. (a) Determine the maximum bending stresses o,, o, produced in the timber planks and the steel plate if P = 3.8 kips. (b) Assume that the allowable bending stresses of the timber and the steel are 1410 psi and 22700 psi, respectively. Determine the largest acceptable magnitude for concentrated loads P. (You may neglect the weight of the beam in your calculations.) Answers: (a) o, = (b) P= LAB i B b e Textbook and Media LBC F b Cross section C ksi, o, = kips. LCD i D ksi.

A composite beam is fabricated by bolting two 3.7-in-wide by 14-in.-deep timber planks to the sides of a 0.7-in. by 14-in. steel plate. The moduli of elasticity of the timber and the steel are 1830 ksi and 29000 ksi, respectively. The simply supported beam spans a distance of 15 ft and carries two concentrated loads P, which are applied as shown. Assume LAB = LCD= 4 ft, LBC = 7 ft, b = 3.7 in., d = 14 in. and t = 0.7 in. (a) Determine the maximum bending stresses o,, o, produced in the timber planks and the steel plate if P = 3.8 kips. (b) Assume that the allowable bending stresses of the timber and the steel are 1410 psi and 22700 psi, respectively. Determine the largest acceptable magnitude for concentrated loads P. (You may neglect the weight of the beam in your calculations.) Answers: (a) o, = (b) P= LAB i B b e Textbook and Media LBC F b Cross section C ksi, o, = kips. LCD i D ksi.

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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In the figure below, find the value of uniform load w (kN/m) that can be applied on the composite beam if the maximum stresses in steel and timber are 48MPa and 3.2MPA, respectively. Est=195GPa,Etimber=13GPA 120mm W Steel 10mm Timber 300mm 2m 4m 2m 250mm Steel 10mm 120mm
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1 Situation 19. A composite beam shown is subjected to a bending moment of 500 kN-m. Determine the maximum flexural stress; 300 VIEW INNOVATIONS 200 200 100 55. Experienced by the steel 56. Experienced by the aluminum A. 0.03 B. 25.24 57. Experienced by the brass A. 25.24 B. 37.86 REVIEW I EW INNOVATIONS Steel, E=200 GPa Aluminum, E=70 GPa Brass, E-105 GPa wwwww C. 48.2 D. 72.11 C. 16.8 C. 16.8 D. 11.21 VIEW INNOVATIONS REVIEW INNOVATIONS REVIEW IS
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Problem 1. The composite beam shown below carries a cantilevered load of 10 kN. The beam consists of one 30 x 124 mm plate and four 12 x 50 mm plates. They are pinned together at 120 mm intervals with round pins. The pin material has a shear strength of 159 MPa. Compute the minimum acceptable diameter for the pins. O O O O O O O -0 O 0- O 1000 mm Do O -120 mm (typ) O O O P = 10 KN 30 x 124 mm 12 x 50 mm (typ)