a) For the solid section shown in Figure Q1, determine dimensions a, b and c. b) Determine the centroid position (x, y) for the solid section shown in Figure Q1 relative to the origin O on the x-y axes. Clearly show the breakdown of the section into areas used in your calculations. y 85 mm 53 mm 57⁰ 25 mm 25 mm b 65 mm Figure Q1 (Not to scale) X

A wide flange section is used as beam to support a concrete floor system. The beam is simply supported over a span of 6m. The properties of the section are given as follows:Depth, d = 498mmWeb thickness, tw = 56mmMoment of Inertia about x-axis, Ix = 3417 x 106 mm4Section Modulus about x-axis, Sx = 13730 x 103 mm3Self-weight, wself-weight = 7.32 kN/mAssume the beam is laterally supported over its length with its allowable stress in bending is 0.66Fy and its allowable shear stress is 0.40Fy assuming direct shear stress is used as basis instead of flexural shear stress. The allowable deflection is set at L/360. Use A36 steel with Fy = 250 MPa. (a) Compute for the safe uniform load (w) without exceeding the allowable shear stress. (b) Compute for the safe uniform load (w) without exceeding the allowable bending stress. (c) Compute for the safe uniform load (w) without exceeding the allowable deflection.

Part A In (Figure 1), r = 30 mm. Locate the centroid a of the metal cross section. Neglect the thickness of the material and slight bends at the corners Express your answer to three significant figures and include the appropriate units. T = 0 mm Submit Previous Answers Correct Figure < 1 of 1 Part B Locate the centroid ī of the metal cross section. Neglect the thickness of the material and slight bends at the corners Express your answer to three significant figures and include the appropriate units. HẢ ? 150 mm = Value Units Submit Previous Answers Request Answer 50 mm 100 mm 100 mm 50 mm