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GATE ME Machine Design — practice by topic

Browse 4 questions across 5 Machine Design topics. Choose what you want to revise, then open a question to check its answer and worked solution.

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Machine Design topics

Laminate (4)Abdmatrix (3)Classicallaminationtheory (3)Balanceandsymmetry (1)Compositedesign (1)

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In composite drawings, each ply must be specified by:Read the answer and worked solution →In CLT, the D matrix relates:Read the answer and worked solution →A CROSS-PLY laminate consists only of:Read the answer and worked solution →For a SYMMETRIC laminate, the 6×6 ABD system decouples into:Read the answer and worked solution →

Worked practice questions

In composite drawings, each ply must be specified by:

  1. Only material type
  2. Material + ply ORIENTATION + position in stack + boundaries (cutouts, joins)
  3. Only thickness
  4. Only fiber type
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Correct answer: B. Material + ply ORIENTATION + position in stack + boundaries (cutouts, joins)

Composite drawings are not "thickness specs" like metal sheet — they're ply-by-ply stack maps. Each ply needs its angle (0°, 90°, ±45°, etc.), its position in the stacking sequence, and the boundary of its area.

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In CLT, the D matrix relates:

  1. Strains to displacements
  2. Bending and twisting moment resultants {M_x, M_y, M_xy} to mid-plane curvatures {κ°_x, κ°_y, κ°_xy}
  3. In-plane forces to curvatures
  4. Shear stress to strain
Show answer and solution

Correct answer: B. Bending and twisting moment resultants {M_x, M_y, M_xy} to mid-plane curvatures {κ°_x, κ°_y, κ°_xy}

D is the bending stiffness matrix. Moment resultants per unit width (lb·in/in or N·m/m) couple to plate curvatures κ. D plays the role of EI for a 1D beam, generalized to a 2D plate.

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A CROSS-PLY laminate consists only of:

  1. Plies at +45° and −45°
  2. Plies at 0° and 90° only (no off-axis angles)
  3. Plies at random angles
  4. Plies all at 0°
Show answer and solution

Correct answer: B. Plies at 0° and 90° only (no off-axis angles)

**Cross-ply:** only 0° and 90° plies. Naturally A_16 = A_26 = 0 (no off-axis terms) and, if symmetric, also D_16 = D_26 = 0. Used when bidirectional in-plane stiffness is wanted with simple design.

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