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A 4-m span wooden beam with rectangular section simply supports a uniform distributed loading of w=13.70 in KN/m. One support (roller) is located 1-m

A 4-m span wooden beam with rectangular section simply supports a uniform distributed loading of ( mathrm{w}=13.70 ) in ( 

A 4-m span wooden beam with rectangular section simply supports a uniform distributed loading of w=13.70 in KN/m. One support (roller) is located 1-m from the left end and the other support (hinged) is located at the right end of the span. The allowable bending stress is 9 MPa and the allowable shearing stress is 0.60 MPa. Neglect the beam weight and assume the beam to have a depth to width ratio of 1.50. What is the width of the beam so that it will not exceed the allowable shearing stress?

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