A cross section through a wooden beam 200mm side by 220mm deep is shown in figure 3a. The beam has recently been strengthened by the addition of two steel plates 205mm deep by 5mm thick which have been bolted to each face of the beam. The beam is simply supported and carries a uniformly distributed load of 6kN/m on a span of 5m. (i) What was the max bending stress in the wooden beam before the addition of the steel plates? (Ignore the self-weight of the beam in your calculations.) (ii) Determine for the strengthened beam the maximum stress in the steel and wood due to flexure. (Assume that the bolts are adequate to ensure composite action and ignore the effect of any bolt holes on the cross section properties. The load was removed during the addition of the steel plates and then reapplied to the new composite beam). Take the elastic modulus for steel as Es=200 x 10° N/m² and for the wood Ew = 10 x 10⁰ N/m² 5 5 200 7.5 220mm Figure 3a: Cross Section 205 7.5
A cross section through a wooden beam 200mm side by 220mm deep is shown in figure 3a. The beam has recently been strengthened by the addition of two steel plates 205mm deep by 5mm thick which have been bolted to each face of the beam. The beam is simply supported and carries a uniformly distributed load of 6kN/m on a span of 5m. (i) What was the max bending stress in the wooden beam before the addition of the steel plates? (Ignore the self-weight of the beam in your calculations.) (ii) Determine for the strengthened beam the maximum stress in the steel and wood due to flexure. (Assume that the bolts are adequate to ensure composite action and ignore the effect of any bolt holes on the cross section properties. The load was removed during the addition of the steel plates and then reapplied to the new composite beam). Take the elastic modulus for steel as Es=200 x 10° N/m² and for the wood Ew = 10 x 10⁰ N/m² 5 5 200 7.5 220mm Figure 3a: Cross Section 205 7.5
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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