List of top Structural Engineering Questions on Uniform torsion

The design shear strength of a reinforced concrete rectangular beam with a width of 250 mm and an effective depth of 500 mm, is 0.3 MPa. The torsional moment capacity of the section (in kN.m) under pure torsion, as per IS 456:2000, is __________ (round off to one decimal place).
 

The design shear strength of a reinforced concrete rectangular beam with a width of 250 mm and an effective depth of 500 mm, is 0.3 MPa. The torsional moment capacity of the section (in kN.m) under pure torsion, as per IS 456:2000, is __________ (round off to one decimal place).
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 \(J_1\) and \(J_2\), respectively. The torsional moment reactions at the supports P and R are \(T_p\) and \(T_R\), respectively.
homogeneous shaft
If \(\frac {T_p}{T_R} = 4\) and \(\frac {J_1}{J_2} = 2\), the ratio of the lengths \(\frac {L_1}{L_2}\) is