ESE 90 DAYS_Uniform Torsion

A horizontal shaft AB 15 m in length is fixed at ends When viewed from its left end axial couple of 30 kNm clockwise and 45 kNm anticlockwise act at 6 m anf 12 m from left end respectively. Fixed end couple at end A and B are respectively:

A circular shaft of length L fixed at one end and diameter d is subjected to torque T at free end. If bulk modulates of shaft material is K and Poisson’s ratio is μ, twist of shaft at free end is:

If the area of cross section of a circular beam is made four times, keeping load, length, support conditions and material of the beam unchanged, then the quantities (List -I) will change through different factors (List-II). Match the List -I with List-II and select the correct answer using the codes given below the lists:

Match List 1 with List 2 and select the answer using the code given below

List 1

(i) Torsional rigidity

(ii) Torsional stiffness

(iii) Polar section modulus

(iv) Polar moment of inertia

List 2

(a) 

(b)

(c)
(d) 

A circular shaft fixed at both ends is subjected to torque at mid-point. Find the torque required to produce unit twist at mid-point for the given shaft. Torsional rigidity for AB portion is GJ.