A timber beam having a simple span of 5m carries a total load, including its weight, of 15 kN/m. It has a width of 200mm and a depth of 300mm for its nominal dimensions and its dressed dimensions have 10-mm deductions for the width and height dimensions. The wooden section is made of 80% stress grade Apitong (such that Fb = 16.5 MPa, Fv = 1.73 MPa, and E = 7310 MPa). (a) Determine the maximum flexural stress of the beam (fb). Check if it is adequate for bending by comparing fb to Fb. (b) Determine the maximum shearing stress (fv). Check if it is adequate for shearing by comparing fv to Fv. (c) Determine the maximum deflection (δmaximum). Check if it is adequate for deflection by comparing δmaximum to δallowable of 1/300 of the span
A timber beam having a simple span of 5m carries a total load, including its weight, of 15 kN/m. It has a width of 200mm and a depth of 300mm for its nominal dimensions and its dressed dimensions have 10-mm deductions for the width and height dimensions. The wooden section is made of 80% stress grade Apitong (such that Fb = 16.5 MPa, Fv = 1.73 MPa, and E = 7310 MPa). (a) Determine the maximum flexural stress of the beam (fb). Check if it is adequate for bending by comparing fb to Fb. (b) Determine the maximum shearing stress (fv). Check if it is adequate for shearing by comparing fv to Fv. (c) Determine the maximum deflection (δmaximum). Check if it is adequate for deflection by comparing δmaximum to δallowable of 1/300 of the span
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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A timber beam having a simple span of 5m carries a total load, including its weight, of 15 kN/m. It has a width of 200mm and a depth of 300mm for its nominal dimensions and its dressed dimensions have 10-mm deductions for the width and height dimensions. The wooden section is made of 80% stress grade Apitong (such that Fb = 16.5 MPa, Fv = 1.73 MPa, and E = 7310 MPa).
(a) Determine the maximum flexural stress of the beam (fb). Check if it is adequate for bending by comparing fb to Fb.
(b) Determine the maximum shearing stress (fv). Check if it is adequate for shearing by comparing fv to Fv.
(c) Determine the maximum deflection (δmaximum). Check if it is adequate for deflection by comparing δmaximum to δallowable of 1/300 of the span.
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