Materials

Four structural rods, A, B, C, and D, are made of different materials and have different dimensions.

Rod	Cross-sectional area	Length	Young modulus of material
A	$3 A$	$2 L$	$2 E$
B	$A$	$0.5 L$	$E$
C	$2 A$	$3 L$	$1.5 E$
D	$0.5 A$	$2 L$	$4 E$

Determine which rod requires the largest tensile force to achieve the same extension. Show your working clearly.

[3]

Four structural rods, A, B, C, and D, are made of different materials and have different dimensions.

Rod	Cross-sectional area	Length	Young modulus of material
A	$3 A$	$2 L$	$2 E$
B	$A$	$0.5 L$	$E$
C	$2 A$	$3 L$	$1.5 E$
D	$0.5 A$	$2 L$	$4 E$

Determine which rod requires the largest tensile force to achieve the same extension. Show your working clearly.

[3]

Materials Questions