II Review Learning Goal: Part C- Maximum Distributed Load To know how to use shear and bending-moment diagrams to determine the design requirements of a steel beam used to support a loading. Determine the maximum uniform distributed load w that can be applied to the W12 × 14 beam shown below if the maximum allowable bending stress is oallow= 16 ksi and the maximum allowable shear is Tallow = 7.4 ksi. The distance between the supports is 24 ft. When designing a steel beam to support a given loading, engineers often use bending characteristics as the primary criterion; shear characteristics are then taken into account, and, if multiple available designs are still viable, weight and cost are then considered to complete the specification. (Figure 3) The geometric properties of the beam are listed in the table below. The bending design consideration requires the calculation of the beam's section modulus. This is a property based solely on the geometry of the beam, specifically the moment of inertia and the centroid: Area Depth Web Thickness Flange I-I axis y - y axis Designation width thickness A (in²) d (in) t (in) I (in*) S (in³) r (in) I (in*) S (in³) г (in) S=I/c b, (in) t; (in) W12 x 14 4.16 11.91 0.200 3.970 0.225 88.6 14.9 4.62 2.36 1.19 0.753 Once a loading is specified, we can use the flexure formula with the maximum bending moment, Mmar, to specify a lower bound on the section modulus: Mmax Srequired = Express your answer to three significant figures. Fallow > View Available Hint(s) Where the maximum bending stress, oallow, is a parameter generally given in the design specifications. The shear specification, ΑΣφ ? vec 7.272 Ib/ft Figure <) 3 of 3 Submit Previous Answers X Incorrect; Try Again; 28 attempts remaining FL+ L

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