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Question

Structural Engineering Question on Uniform torsion

A homogeneous shaft PQR with fixed supports at both ends is subjected to a torsional moment T at point Q, as shown in the figure. The polar moments of inertia of the portions PQ and QR of the shaft with circular cross-sections are J1J_1 and J2J_2, respectively. The torsional moment reactions at the supports P and R are TpT_p and TRT_R, respectively.homogeneous shaft If TpTR=4\frac {T_p}{T_R} = 4 and J1J2=2\frac {J_1}{J_2} = 2, the ratio of the lengths L1L2\frac {L_1}{L_2} is

A

0.50

B

0.25

C

4.00

D

2.00

Answer

0.50

Explanation

Solution

The correct option is (A): 0.50