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STRENGTH OF MATERIAL BASICS
Pradipto Sulaksono
477113
Departemen Piping
UJI TARIK
ELASTIS-REGANGAN
TEGANGAN
TEORI KEGAGALAN
PIPING ASSEMBLY
DAFTAR ISI
UJI TARIK
• σ =
𝑭
𝑨𝟎
ε=
𝜟𝑳
𝑳𝟎
UJI TARIK ELASTIS-REGANGAN TEGANGAN TEORI KEGAGALAN PIPING ASSEMBLY
HASIL UJI TARIK
• Ultimate Strength (Su)
• Yield Strength (Sy)
• Young Modulus(E)
• Toughness
UJI TARIK ELASTIS-REGANGAN TEGANGAN TEORI KEGAGALAN PIPING ASSEMBLY
ELASTIS-REGANGAN
• Poisson`s Ratio
ν =
𝑒𝑦
𝑒𝑥
=
Δ𝐿𝑦
𝐿𝑦
Δ𝐿𝑥
𝐿𝑥
UJI TARIK ELASTIS-REGANGAN TEGANGAN TEORI KEGAGALAN PIPING ASSEMBLY
TEGANGAN
Tegangan = Intensitas gaya
pada suatu permukaan
Tegangan normal =
tegangan yang
tegak lurus
terhadap bidang
Tegangan geser =
tegangan yang terjadi
ketika 2 bidang saling
bersentuhan
UJI TARIK ELASTIS-REGANGAN TEGANGAN TEORI KEGAGALAN PIPING ASSEMBLY
TEGANGAN PADA PIPA
Tegangan Normal
Tegangan
longitudinal
Tegangan
tangensial
Tegangan Geser
Tegangan akibat
gaya geser
Tegangan akibat
momen puntir
UJI TARIK ELASTIS-REGANGAN TEGANGAN TEORI KEGAGALAN PIPING ASSEMBLY
TEGANGAN NORMAL PIPA
TEGANGAN
NORMAL
GAYA
AKSIAL
A
FAX
L 
 FAX
MOMEN
BENDING
I
c
MB
B 

LONGITUDINAL
AKIBAT
TEKANAN
HOOP
STRESS
σL = P . Do
4 . t
σH = P . Do
2 . t
UJI TARIK ELASTIS-REGANGAN TEGANGAN TEORI KEGAGALAN PIPING ASSEMBLY
TEGANGAN GESER PIPA
TEGANGAN
GESER
m
V
A
VQ


GAYA
GESER
J
c
MT
T 

MOMEN
TORSI
UJI TARIK ELASTIS-REGANGAN TEGANGAN TEORI KEGAGALAN PIPING ASSEMBLY
TEGANGAN MULTI DIMENSI
𝝉𝑽
𝝈𝑯
𝝈𝑯
𝝈𝑳 + 𝝈𝑩
𝝈𝑳 + 𝝈𝑩
𝝉𝑽
𝝈𝑳 + 𝝈𝑩
𝝈𝑳 + 𝝈𝑩
𝝉𝑽
𝝉𝑽
𝝈𝑯
𝝈𝑯
𝝈𝑯
𝝈𝑯
𝝈𝑳 + 𝝈𝑩 𝝈𝑳 + 𝝈𝑩
UJI TARIK ELASTIS-REGANGAN TEGANGAN TEORI KEGAGALAN PIPING ASSEMBLY
LINGKARAN MOHR
𝝉𝒎𝒂𝒙 =
𝝈𝟏 − 𝝈𝟑
𝟐
𝝈𝒎𝒂𝒙 = 𝝈𝟏
UJI TARIK ELASTIS-REGANGAN TEGANGAN TEORI KEGAGALAN PIPING ASSEMBLY
TEORI KEGAGALAN
UJI TARIK ELASTIS-REGANGAN TEGANGAN TEORI KEGAGALAN PIPING ASSEMBLY
VON MISES
Kegagalan terjadi jika energi distorsi
per unit volume sama atau lebih besar
dari energi distorsi per unit volume
pada saat
terjadinya kegagalan dalam pengujian
tegangan uniaksial
UJI TARIK ELASTIS-REGANGAN TEGANGAN TEORI KEGAGALAN PIPING ASSEMBLY
TRESCA
Kegagalan terjadi jika nilai
tegangan geser maksimum
sama atau lebih besar
dibandingkan tegangan
geser maksimum pada saat
terjadinya kegagalan dalam
pengujian tegangan
uniaksial
𝝈𝟏 − 𝝈𝟑 ≥ 𝑺𝒚
UJI TARIK ELASTIS-REGANGAN TEGANGAN TEORI KEGAGALAN PIPING ASSEMBLY
BASIC BEAM FORMULAS
• Info loading piperack
• Panjang pipa ↑ => momen bending ↑, displacement ↑ ↑, flexibility ↑ ↑
• EI ↑ => displacement ↓
UJI TARIK ELASTIS-REGANGAN TEGANGAN TEORI KEGAGALAN PIPING ASSEMBLY
ELEMEN HINGGA
UJI TARIK ELASTIS-REGANGAN TEGANGAN TEORI KEGAGALAN PIPING ASSEMBLY
PREPROCESSING SOLUTION POSTPROCESSING
• Modelling
• Input beban
• Input tumpuan
• Input data material
• Software menghitung
nilai displacement dari
𝑫 = [𝑲]−𝟏[𝑭]
• Menghitung besaran
turunan seperti
tegangan, regangan, dll
• Tampilan hasil
analisis
Daftar Pustaka
• Pipe Stress Engineering - Liang Chuan
• Mechanic of Materials – R.C Hibbeler
• Diktat Elemen Mesin – I.G.N Wiratmaja Puja
• Mechanical Engineering Design - Shigley

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2. strength of material basics.pptx

  • 1. STRENGTH OF MATERIAL BASICS Pradipto Sulaksono 477113 Departemen Piping
  • 3. UJI TARIK • σ = 𝑭 𝑨𝟎 ε= 𝜟𝑳 𝑳𝟎 UJI TARIK ELASTIS-REGANGAN TEGANGAN TEORI KEGAGALAN PIPING ASSEMBLY
  • 4. HASIL UJI TARIK • Ultimate Strength (Su) • Yield Strength (Sy) • Young Modulus(E) • Toughness UJI TARIK ELASTIS-REGANGAN TEGANGAN TEORI KEGAGALAN PIPING ASSEMBLY
  • 5. ELASTIS-REGANGAN • Poisson`s Ratio ν = 𝑒𝑦 𝑒𝑥 = Δ𝐿𝑦 𝐿𝑦 Δ𝐿𝑥 𝐿𝑥 UJI TARIK ELASTIS-REGANGAN TEGANGAN TEORI KEGAGALAN PIPING ASSEMBLY
  • 6. TEGANGAN Tegangan = Intensitas gaya pada suatu permukaan Tegangan normal = tegangan yang tegak lurus terhadap bidang Tegangan geser = tegangan yang terjadi ketika 2 bidang saling bersentuhan UJI TARIK ELASTIS-REGANGAN TEGANGAN TEORI KEGAGALAN PIPING ASSEMBLY
  • 7. TEGANGAN PADA PIPA Tegangan Normal Tegangan longitudinal Tegangan tangensial Tegangan Geser Tegangan akibat gaya geser Tegangan akibat momen puntir UJI TARIK ELASTIS-REGANGAN TEGANGAN TEORI KEGAGALAN PIPING ASSEMBLY
  • 8. TEGANGAN NORMAL PIPA TEGANGAN NORMAL GAYA AKSIAL A FAX L   FAX MOMEN BENDING I c MB B   LONGITUDINAL AKIBAT TEKANAN HOOP STRESS σL = P . Do 4 . t σH = P . Do 2 . t UJI TARIK ELASTIS-REGANGAN TEGANGAN TEORI KEGAGALAN PIPING ASSEMBLY
  • 9. TEGANGAN GESER PIPA TEGANGAN GESER m V A VQ   GAYA GESER J c MT T   MOMEN TORSI UJI TARIK ELASTIS-REGANGAN TEGANGAN TEORI KEGAGALAN PIPING ASSEMBLY
  • 10. TEGANGAN MULTI DIMENSI 𝝉𝑽 𝝈𝑯 𝝈𝑯 𝝈𝑳 + 𝝈𝑩 𝝈𝑳 + 𝝈𝑩 𝝉𝑽 𝝈𝑳 + 𝝈𝑩 𝝈𝑳 + 𝝈𝑩 𝝉𝑽 𝝉𝑽 𝝈𝑯 𝝈𝑯 𝝈𝑯 𝝈𝑯 𝝈𝑳 + 𝝈𝑩 𝝈𝑳 + 𝝈𝑩 UJI TARIK ELASTIS-REGANGAN TEGANGAN TEORI KEGAGALAN PIPING ASSEMBLY
  • 11. LINGKARAN MOHR 𝝉𝒎𝒂𝒙 = 𝝈𝟏 − 𝝈𝟑 𝟐 𝝈𝒎𝒂𝒙 = 𝝈𝟏 UJI TARIK ELASTIS-REGANGAN TEGANGAN TEORI KEGAGALAN PIPING ASSEMBLY
  • 12. TEORI KEGAGALAN UJI TARIK ELASTIS-REGANGAN TEGANGAN TEORI KEGAGALAN PIPING ASSEMBLY
  • 13. VON MISES Kegagalan terjadi jika energi distorsi per unit volume sama atau lebih besar dari energi distorsi per unit volume pada saat terjadinya kegagalan dalam pengujian tegangan uniaksial UJI TARIK ELASTIS-REGANGAN TEGANGAN TEORI KEGAGALAN PIPING ASSEMBLY
  • 14. TRESCA Kegagalan terjadi jika nilai tegangan geser maksimum sama atau lebih besar dibandingkan tegangan geser maksimum pada saat terjadinya kegagalan dalam pengujian tegangan uniaksial 𝝈𝟏 − 𝝈𝟑 ≥ 𝑺𝒚 UJI TARIK ELASTIS-REGANGAN TEGANGAN TEORI KEGAGALAN PIPING ASSEMBLY
  • 15. BASIC BEAM FORMULAS • Info loading piperack • Panjang pipa ↑ => momen bending ↑, displacement ↑ ↑, flexibility ↑ ↑ • EI ↑ => displacement ↓ UJI TARIK ELASTIS-REGANGAN TEGANGAN TEORI KEGAGALAN PIPING ASSEMBLY
  • 16. ELEMEN HINGGA UJI TARIK ELASTIS-REGANGAN TEGANGAN TEORI KEGAGALAN PIPING ASSEMBLY PREPROCESSING SOLUTION POSTPROCESSING • Modelling • Input beban • Input tumpuan • Input data material • Software menghitung nilai displacement dari 𝑫 = [𝑲]−𝟏[𝑭] • Menghitung besaran turunan seperti tegangan, regangan, dll • Tampilan hasil analisis
  • 17.
  • 18. Daftar Pustaka • Pipe Stress Engineering - Liang Chuan • Mechanic of Materials – R.C Hibbeler • Diktat Elemen Mesin – I.G.N Wiratmaja Puja • Mechanical Engineering Design - Shigley