449_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

# 449_Mechanics SolutionInstructors_Sol.Manual-Mechanics_Materials_7e.book_Gere_light.1

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SECTION 5.8 Shear Stresses in Rectangular Beams 443 Solution 5.8-2 (a) M AXIMUM SHEAR STRESS M AXIMUM BENDING STRESS M ± qL 2 8 S ± bh 2 6 ; t max ± 3 V 2 A t max ± 715 kPa V ± qL 2 A ± bh L ± 1.95 m h ± 300 mm b ± 150 mm q ± 22 kN m (b) M AXIMUM SHEAR STRESS M AXIMUM BENDING STRESS ; s max ± M S s max ± 18.59 MPa M ± qL 2 2 ; t max ± 3 V 2 A t max ± 1430 kPa V ± qL ; s max ± M S s max ± 4.65 MPa Problem 5.8-2 Calculate the maximum shear stress t max and the maximum bending stress s max in a wood beam (see figure) carrying a uniform load of 22.5 kN/m (which includes the weight of the beam) if the length is 1.95 m and the cross section is rectangular with width 150 mm and height 300 mm, and the beam is (a) simply supported as in the figure part (a) and (b) has a sliding support at right as in the figure
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Unformatted text preview: part (b). (a) 1.95 m 22.5 kN/m 300 mm 150 mm (b) 1.95 m 22.5 kN/m Problem 5.8-3 Two wood beams, each of rectangular cross section (3.0 in. ² 4.0 in., actual dimensions) are glued together to form a solid beam of dimensions 6.0 in. ² 4.0 in. (see figure). The beam is simply supported with a span of 8 ft. What is the maximum moment M max that may be applied at the left support if the allowable shear stress in the glued joint is 200 psi? (Include the effects of the beam’s own weight, assuming that the wood weighs 35 lb/ft 3 .) 6.0 in. 4.0 in. M 8 ft 05Ch05.qxd 9/25/08 2:29 PM Page 443...
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