4. A structural engineer must determine which type of steel to select for a beam, but the weight limitation cannot exceed 7 tons. The project has narrowed the choices down to A36 steel (ρ = 7800 kg/m3) and A992 steel (ρ = 7850 kg/m3). However, the engineer needs to determine the load difference between an A36 and A992 steel box beam with an inertia of 356 in4, and has an elastic modulus of 30 x 106 PSI & 35 x 106 PSI, respectively. The A36 steel is designed to deflect 0.107” while the A992 steel is designed to deflect 0.118”. Both beams have a span length of 12.3 meters, a distributed stress of 101.45 kN/m2, full length of15.78 m, and the
4. A structural engineer must determine which type of steel to select for a beam, but the weight limitation cannot exceed 7 tons. The project has narrowed the choices down to A36 steel (ρ = 7800 kg/m3) and A992 steel (ρ = 7850 kg/m3). However, the engineer needs to determine the load difference between an A36 and A992 steel box beam with an inertia of 356 in4, and has an elastic modulus of 30 x 106 PSI & 35 x 106 PSI, respectively. The A36 steel is designed to deflect 0.107” while the A992 steel is designed to deflect 0.118”. Both beams have a span length of 12.3 meters, a distributed stress of 101.45 kN/m2, full length of15.78 m, and the beam is in a simple load configuration. Determine the load difference between the two beam options at the design limit.
What is your calculated answer most closely to?
a. 1.5 ton
b. 20.5 tons
c. 104.7 tons
d. 8924.1 tons
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