A simply supported wood beam that is 4.2 m long carries a 38 kN concentrated load at B. The cross-sectional dimensions of the beam are b = 160 mm, d = 350 mm, a = 105 mm, and c = 15 mm. Section a–a is located at x = 0.7 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. Draw a horizontal line through point H. Use the area above this line to calculate the first moment of area associated with point H.
A simply supported wood beam that is 4.2 m long carries a 38 kN concentrated load at B. The cross-sectional dimensions of the beam are b = 160 mm, d = 350 mm, a = 105 mm, and c = 15 mm. Section a–a is located at x = 0.7 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.
Draw a horizontal line through point H. Use the area above this line to calculate the first moment of area associated with point H.
Answer:
QH = mm3
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