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Design of Leaf Springs
Leaf Springs
• Consists of flat plates/ leaves
• Longest leaf at top is called master leaf
• Bent at the end to form spring eyes
• U bolt and centre clip to hold the leaf
together
• Master leaf, extra full length leaf, graduated
Leaf Springs: Graduated leaves
𝜎 =
6𝐹𝑔𝑙
𝑔
𝑖 𝑏ℎ2
Eqn
11.28b
Table 11.9
𝑦 =
6𝐹𝑔𝑙3
𝑔
𝐸𝑖 𝑏ℎ3
Eqn
11.28c
Table 11.9
Load- Stress
equation
Load- Deflection
equation
3
Leaf Springs: Extra full length leaves
𝜎 =
6𝐹𝑓𝑙
𝑓
𝑖𝑏ℎ 2
Eqn
11.28b
Table 11.9
𝑦 =
4𝐹𝑓𝑙3
𝑓
𝐸𝑖 𝑏ℎ 3
Eqn
11.28c
Table 11.9
Load- Stress
equation
Load- Deflection
equation
Taking 𝑦𝑓 = 𝑦𝑔 𝑎𝑛𝑑 𝐹𝑔 + 𝐹𝑓 = 𝐹
𝑔
𝜎 =
12𝐹𝑙
′ 2
𝑓
𝑔
𝑏 ℎ (3𝑖 + 2𝑖 )
𝑓
𝜎 =
18𝐹𝑙
′ 2
𝑓
𝑔
𝑏 ℎ (3𝑖 + 2𝑖 )
Eqn
11.30a
Eqn
11.29d
Eqn
11.30b
𝑦 =
12𝐹𝑙3
′ 3
𝑓
𝑔
𝑏 ℎ 𝐸 (3𝑖 + 2𝑖 )
Eqn
11.30c
4
Nipping of leaf springs
Taking 𝑐= 𝑦𝑔 − 𝑦𝑓, 𝐸𝑞𝑢𝑎𝑙𝑖𝑠𝑖𝑛𝑔 𝑠𝑡𝑟𝑒𝑠𝑠 𝑣𝑎𝑙𝑢𝑒𝑠
𝜎𝑏
6𝐹𝐿
=
𝑖𝑏′ℎ2
• Pre-stressing by bending leaves to
a different radii
• Initial gap between full length leaf
and graduated length leaf before the
assembly is called nip
𝜎𝑏 𝑔
𝑔
𝑖 𝑏 ℎ
′ 2 𝑓
= 𝜎𝑏 =
6𝐹𝑔𝑙 6𝐹𝑓𝑙
𝑓
𝑖𝑏 ℎ
′ 2
Eqn
11.32b
Eqn
11.32c
2𝐹𝑙3
𝑐=
𝐸𝑖𝑏′ℎ3
𝐹𝑖=
2𝑖𝑔𝑖𝑓𝐹
𝑖 2𝑖𝑔+ 3𝑖𝑓
Eqn
11.32a
Example. A truck spring has 12 number of leaves, two of which are full length leaves.
The spring supports are 1.05 m apart and the central band is 85 mm wide. The central load
is to be 5.4 kN with a permissible stress of 280 MPa. Determine the thickness and width of
the steel spring leaves. The ratio of the total depth to the width of the spring is 3. Also
determine the deflection of the spring.
6
3 Design of leaf springs

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3 Design of leaf springs

  • 1. Design of Leaf Springs
  • 2. Leaf Springs • Consists of flat plates/ leaves • Longest leaf at top is called master leaf • Bent at the end to form spring eyes • U bolt and centre clip to hold the leaf together • Master leaf, extra full length leaf, graduated
  • 3. Leaf Springs: Graduated leaves 𝜎 = 6𝐹𝑔𝑙 𝑔 𝑖 𝑏ℎ2 Eqn 11.28b Table 11.9 𝑦 = 6𝐹𝑔𝑙3 𝑔 𝐸𝑖 𝑏ℎ3 Eqn 11.28c Table 11.9 Load- Stress equation Load- Deflection equation 3
  • 4. Leaf Springs: Extra full length leaves 𝜎 = 6𝐹𝑓𝑙 𝑓 𝑖𝑏ℎ 2 Eqn 11.28b Table 11.9 𝑦 = 4𝐹𝑓𝑙3 𝑓 𝐸𝑖 𝑏ℎ 3 Eqn 11.28c Table 11.9 Load- Stress equation Load- Deflection equation Taking 𝑦𝑓 = 𝑦𝑔 𝑎𝑛𝑑 𝐹𝑔 + 𝐹𝑓 = 𝐹 𝑔 𝜎 = 12𝐹𝑙 ′ 2 𝑓 𝑔 𝑏 ℎ (3𝑖 + 2𝑖 ) 𝑓 𝜎 = 18𝐹𝑙 ′ 2 𝑓 𝑔 𝑏 ℎ (3𝑖 + 2𝑖 ) Eqn 11.30a Eqn 11.29d Eqn 11.30b 𝑦 = 12𝐹𝑙3 ′ 3 𝑓 𝑔 𝑏 ℎ 𝐸 (3𝑖 + 2𝑖 ) Eqn 11.30c 4
  • 5. Nipping of leaf springs Taking 𝑐= 𝑦𝑔 − 𝑦𝑓, 𝐸𝑞𝑢𝑎𝑙𝑖𝑠𝑖𝑛𝑔 𝑠𝑡𝑟𝑒𝑠𝑠 𝑣𝑎𝑙𝑢𝑒𝑠 𝜎𝑏 6𝐹𝐿 = 𝑖𝑏′ℎ2 • Pre-stressing by bending leaves to a different radii • Initial gap between full length leaf and graduated length leaf before the assembly is called nip 𝜎𝑏 𝑔 𝑔 𝑖 𝑏 ℎ ′ 2 𝑓 = 𝜎𝑏 = 6𝐹𝑔𝑙 6𝐹𝑓𝑙 𝑓 𝑖𝑏 ℎ ′ 2 Eqn 11.32b Eqn 11.32c 2𝐹𝑙3 𝑐= 𝐸𝑖𝑏′ℎ3 𝐹𝑖= 2𝑖𝑔𝑖𝑓𝐹 𝑖 2𝑖𝑔+ 3𝑖𝑓 Eqn 11.32a
  • 6. Example. A truck spring has 12 number of leaves, two of which are full length leaves. The spring supports are 1.05 m apart and the central band is 85 mm wide. The central load is to be 5.4 kN with a permissible stress of 280 MPa. Determine the thickness and width of the steel spring leaves. The ratio of the total depth to the width of the spring is 3. Also determine the deflection of the spring. 6