ASSIGNMENTS/PLATES REQUIREMENTS: 1. SHEETS OF LONG BOND PAPER 2. PERMANENT PENS (PENCILS ARE FOR DRAFTS ONLY) -BLACK for instruction and solution -RED for header final answers only -Any pen color for figures (one color for load, one color for structure, one color for others) 3. RULER 4. SCIENTIFIC CALCULATOR REQUIREMENTS 1” 1” SURNAME, FIRST NAME, MI SECTION DATE CE0039 PRINCIPLE OF STEEL DESIGN PLATE NUMBER 1: _________ Instruction: Solve the following problems completely. Round off your answers to 3 decimal places. Draw the FBD of each problem and indicate the directions of forces in your answers. Problem No. 2 The beam shown below is supported by a roller, internal hinge at B and fixed at C. Determine the following: a) Support reactions at A and B. b) Internal force at B. Use Black Pen for the Margin Lines σ 𝐹𝑥 = 0 : −𝑇𝐴𝐵 Problem No. 1 A steel truss is loaded as shown is supported by a hinge at A and C. Assume that joint B is internal pin. The concentrated loads are perpendicular at the top chord. Determine the reaction at A and C. − 𝑇𝐵𝐶 𝑥𝐵 − 3 (𝑥𝐵 −3)2 + 64 + 40 = 0 σ 𝐹𝑦 = 0 : 5 𝑇𝐴𝐵 0.75” 1.75” 𝑥𝐵 𝑥𝐵2 + 25 1.75” 𝑥𝐵2 + 25 σ 𝐹𝑥 = 0 : 𝑥𝐵 −𝑇𝐴𝐵 𝑥𝐵2 + 25 − 𝑇𝐵𝐶 − 𝑇𝐵𝐶 8 (𝑥𝐵 −3)2 + 64 𝑥𝐵 − 3 (𝑥𝐵 −3)2 + 64 =0 + 40 = 0 σ 𝐹𝑦 = 0 : 5 𝑇𝐴𝐵 𝑥𝐵2 + 25 σ 𝐹𝑥 = 0 : 𝑥𝐵 −𝑇𝐴𝐵 𝑥𝐵2 + 25 𝑥𝐵 𝑥𝐵 − 3 − 𝑇𝐵𝐶 𝑥𝐵2 + 25 (𝑥𝐵 −3)2 + 64 + 40 = 0 σ 𝐹𝑦 = 0 : 𝑇𝐴𝐵 5 𝑥𝐵2 − 𝑇𝐵𝐶 8 (𝑥𝐵 −3)2 + 64 𝑥𝐵 − 3 (𝑥𝐵 −3)2 + 64 =0 + 40 = 0 σ 𝐹𝑦 = 0 : σ 𝐹𝑥 = 0 : −𝑇𝐴𝐵 Solution: − 𝑇𝐵𝐶 + 25 − 𝑇𝐵𝐶 𝟏𝟑𝒙𝑩 − 𝟏𝟓 (𝒙𝑩 −𝟑)𝟐 + 𝟔𝟒 8 (𝑥𝐵 −3)2 𝑻𝑩𝑪 = 𝟐𝟎𝟎 1” + 64 =0 𝑇𝐴𝐵 5 𝑥𝐵2 + 25 σ 𝐹𝑥 = 0 : 𝑥𝐵 −𝑇𝐴𝐵 𝑥𝐵2 + 25 − 𝑇𝐵𝐶 𝟏𝟑𝒙𝑩 − 𝟏𝟓 (𝒙𝑩 −𝟑)𝟐 + 𝟔𝟒 − 𝑇𝐵𝐶 8 (𝑥𝐵 −3)2 + 64 𝑥𝐵 − 3 (𝑥𝐵 −3)2 + 64 𝑻𝑩𝑪 = 𝟐𝟎𝟎 1” =0 + 40 = 0 0.75”