Deformation of Stepped Bars

Q. A member ABCD is subjected to a force system as shown in the figure.



The resistive force in the part BC is

1. 365 (comp.)
2. 450 (tensile)
3. 85 (comp.)
4. 320 (comp.)

Q. The axial movement of top surface of stepped column as shown in figure is

1. $2.5PL/AE$
2. $3PL/AE$
3. $1.5PL/AE$
4. $2PL/AE$

Q. A prismatic bar PQRST is subjected to axial loads as shown in the figure. The segments having maximum and minimum axial stresses, respectively, are

1. ST and PQ
2. QR and PQ
3. ST and RS
4. QR and RS

Q. A horizontal bar with a constant cross-section is subjected to loading as shown in the figure. The Young's moduli for the sections AB and BC are 3E and E, respectively.
For the deflection at C to be zero, the ratio P/F is

1. 4

Q. The total elongation of the structural element fixed, at one end, free at the other end, and of varying cross-section as shown in the figure when subjected to a force $P$ at free end is given by

1. $PL/AE$
2. $3PL/AE$
3. $2.5PL/AE$
4. $2PL/AE$