National Taiwan University Material Mechanics Chapter Five Stresses

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National Taiwan University Material Mechanics Chapter Five Stresses in beams 2014 Summer 國立臺灣大學土木 程學系

National Taiwan University Material Mechanics Chapter Five Stresses in beams 2014 Summer 國立臺灣大學土木 程學系 黃尹男 教授 【本著作除另有註明外,採取創用CC「姓名標示-非商業性-相同方式分享」臺灣 3. 0版授權釋出】 Material Mechanics 2014 SUMMER

Stresses in beams Class 1. Class 2. Class 3. Class 4. Class 5. TOPIC

Stresses in beams Class 1. Class 2. Class 3. Class 4. Class 5. TOPIC KEYPOINT PAGE Introduction Pure bending & Non-uniform bending Curvature of a beam Longitudinal Strains in Beams Normal Stresses in Beams (Linearly Elastic Materials) Class 6. Design of Beams for Bending Stresses Class 7. Shear Stresses in Beams of Rectangular Cross Section Class 8. Shear Stresses in Beams of Circular Cross Section Class 9. Shear Stresses in the Webs of Beams with Flames Class 10. Built-Up Beams and Shear Flows 2 Material Mechanics 2014 SUMMER

Class 10 Built-Up Beams and Shear Flows TOPIC KEYPOINT PAGE 3 Material Mechanics 2014

Class 10 Built-Up Beams and Shear Flows TOPIC KEYPOINT PAGE 3 Material Mechanics 2014 SUMMER

Shear Flow (重要概念) TOPIC Built-Up Beams and Shear Flows KEYPOINT PAGE 4 Material Mechanics

Shear Flow (重要概念) TOPIC Built-Up Beams and Shear Flows KEYPOINT PAGE 4 Material Mechanics 2014 SUMMER

Areas Used When Calculating First Moment Q TOPIC Built-Up Beams and Shear Flows KEYPOINT

Areas Used When Calculating First Moment Q TOPIC Built-Up Beams and Shear Flows KEYPOINT 考試必考「找Area」,找錯就直接掰掰囉~ PAGE 5 Material Mechanics 2014 SUMMER

Shear Flow TOPIC Built-Up Beams and Shear Flows KEYPOINT PAGE where Fweld = force

Shear Flow TOPIC Built-Up Beams and Shear Flows KEYPOINT PAGE where Fweld = force resisted per unit length of weld F = allowable force for each nail/bolt s = the corresponding spacing of nail/bolt n = number of weld/nail/bolt. 6 Material Mechanics 2014 SUMMER

Example A beam box is to be constructed from four boards nailed together as

Example A beam box is to be constructed from four boards nailed together as shown in the figure. If each nail can support a shear force of 30 N, determine the maximum spacing s of nails at B so that the beam will support the vertical force of 80 N. [PS]木板截面: 1. 5 cm x 6. 0 cm TOPIC Built-Up Beams and Shear Flows B KEYPOINT s PAGE 7 80 N Material Mechanics 2014 SUMMER

Key point 在於 「選擇正確的Area」 如果要算B的剪力流 Area就必須取這樣 TOPIC Built-Up Beams and Shear Flows KEYPOINT PAGE

Key point 在於 「選擇正確的Area」 如果要算B的剪力流 Area就必須取這樣 TOPIC Built-Up Beams and Shear Flows KEYPOINT PAGE 想一想為什麼? (如果一時沒想通 (建議先按下暫停鍵 8 Material Mechanics 2014 SUMMER

接下來就只是純粹代公式… B TOPIC Built-Up Beams and Shear Flows 有左右兩邊平分 KEYPOINT PAGE 9 Material Mechanics

接下來就只是純粹代公式… B TOPIC Built-Up Beams and Shear Flows 有左右兩邊平分 KEYPOINT PAGE 9 Material Mechanics 2014 SUMMER

如果今天是求C點呢? ? TOPIC C Built-Up Beams and Shear Flows KEYPOINT PAGE 10 Material Mechanics

如果今天是求C點呢? ? TOPIC C Built-Up Beams and Shear Flows KEYPOINT PAGE 10 Material Mechanics 2014 SUMMER

重點回顧 TOPIC KEYPOINT PAGE 11 [材力小語] 一定要知道如何選擇「計算Q的Area」阿… Material Mechanics 2014 SUMMER

重點回顧 TOPIC KEYPOINT PAGE 11 [材力小語] 一定要知道如何選擇「計算Q的Area」阿… Material Mechanics 2014 SUMMER