A rectangular hollow steel beam with a width of 150mmand thickness of 6mmis used as a roof purlin on simple span of 5.8m

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A rectangular hollow steel beam with a width of 150mmand thickness of 6mmis used as a roof purlin on simple span of 5.8m

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A rectangular hollow steel beam with a width of 150mmandthickness of 6mmis used as a roof purlin on simple span of 5.8manda spacing of 600mm on center. The roof slope is 3:4. The roof deadload due to roofing materials (D) is 40kPa (excluding self-weight)and a roof live load (Lr) of 60kPa. Assume that the load passesthrough the centroid of the sectionand plastic behavior. Determinethe following. Unit weight of Steel is 7850 kg/m3and Fy=345 MPa.Use LRFD
(a) Determine the minimum depth of the steel beam
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