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MEKANIKA MATERIAL (BAHAN)
Jenis pembebanan pada material Jenis tegangan (stress) Perhitungan kekuatan material untuk menentukan dimensi dan pemilihan bahan berdasarkan jenis pembebanan yang terjadi
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Terminology for Mechanical Properties
Stress - Force or load per unit area of cross-section over which the force or load is acting. Strain - Elongation change in dimension per unit length. Young’s modulus - The slope of the linear part of the stress-strain curve in the elastic region, same as modulus of elasticity. Shear modulus (G) - The slope of the linear part of the shear stress-shear strain curve.
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Engineering Stress Stress has units: N/m2 (or lb/in2 )
Tegangan Normal (): intensitas gaya yang bekerja tegak lurus bidang irisan contoh: Tensile stress, () Tegangan geser (): intensitas gaya yang bekerja sejajar bidang irisan Contoh : Shear stress, (): Stress has units: N/m2 (or lb/in2 )
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Modes of loading and states of stress
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Modes of loading and states of stress
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Modes of loading and states of stress
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PEMBEBANAN PADA BEJANA TEKAN
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PEMBEBANAN PADA BEJANA TEKAN
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Tegangan Hoop pada bejana tekan
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Gaya Hoop pada bejana tekan
Berdasarkan gambar d akan diuraikan gaya-gaya yg berlaku
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Pure Tension Pure Compression stress strain Elastic response
Pure Shear stress strain Elastic response Pure Torsional Shear 26
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Mekanika bahan konsep stress
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Hooke’s law for extension: σ = E Hooke’s law for shear: = G
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1 Pa = ×10−6 psi
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Hooke’s law for extension: σ = E Hooke’s law for shear: = G
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Common States of Stress
• Simple tension: cable Ski lift (photo courtesy P.M. Anderson) • Simple shear: drive shaft Note: t = M/AcR here. 34
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(c)2003 Brooks/Cole, a division of Thomson Learning, Inc
(c)2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license. gauge length Figure. A unidirectional force is applied to a specimen in the tensile test by means of the moveable crosshead. The cross-head movement can be performed using screws or a hydraulic mechanism
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Properties Obtained from the Tensile Test
Elastic limit Tensile strength, Necking Hooke’s law Poisson’s ratio Modulus of resilience (Er) Tensile toughness Ductility
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Test Specimen Standard
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Figure. The stress-strain curve for an aluminum alloy
(c)2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license. Figure. The stress-strain curve for an aluminum alloy
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(c)2003 Brooks/Cole, a division of Thomson Learning, Inc
(c)2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license. Figure. (a) Determining the 0.2% offset yield strength in gray cast ion, and (b) upper and lower yield point behavior in a low-carbon steel
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cup-and-cone fracture in Al
Figure. Localized deformation of a ductile material during a tensile test produces a necked region brittle fracture in mild steel 40
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(Ultimate) Tensile Strength, σTS
• Maximum possible engineering stress in tension. y strain Typical response of a metal F = fracture or ultimate strength Neck – acts as stress concentrator engineering TS stress engineering strain • Metals: occurs when necking starts. • Ceramics: occurs when crack propagation starts. • Polymers: occurs when polymer backbones are aligned and about to break. 41
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Deformation Process During Test
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cup-and-cone fracture in Al
(c)2003 Brooks/Cole, a division of Thomson Learning, Inc. Thomson Learning™ is a trademark used herein under license. cup-and-cone fracture in Al Figure. Localized deformation of a ductile material during a tensile test produces a necked region brittle fracture in mild steel 46
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EULER CRITERIA
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Modes of loading and states of stress
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PROBLEM
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PROBLEM
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PROBLEM Rod AB Rod BC
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PROBLEM
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PROBLEM
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