The assembly shown in the figure consists of 10 mm diameter titanium (E = 125 GPa) rods AB and CD, which are anchored to the wall, a 15 mm diameter stainless steel (E = 200 GPa) rod EF, and a rigid plate G. When the axial loads are applied to the plate and to the hook at F, the length of the entire assembly changes 5 mm (it either increases or decreases in length). Note: Dimensions shown are for the unloaded assembly, and you can assume the material remains in the elastic region when loaded. Also since the plate G is rigid, its thickness doesn't change when the loads are applied. a. Determine P 300 mm 450 mm b. When the loads are applied, does F move to the right or to the left? A one word response is all that is necessary, but it must be consistent with your calculations of part a. B. E 4P c. Does the diameter of rod AB increase or decrease when the loads are applied? Briefly justify your answer – a response of only ´increase' or 'decrease' gets no credit. No calculations are necessary.

The assembly shown in the figure consists of 10 mm diameter titanium (E = 125 GPa) rods AB and CD, which are anchored to the wall, a 15 mm diameter stainless steel (E = 200 GPa) rod EF, and a rigid plate G. When the axial loads are applied to the plate and to the hook at F, the length of the entire assembly changes 5 mm (it either increases or decreases in length). Note: Dimensions shown are for the unloaded assembly, and you can assume the material remains in the elastic region when loaded. Also since the plate G is rigid, its thickness doesn't change when the loads are applied. a. Determine P 300 mm 450 mm b. When the loads are applied, does F move to the right or to the left? A one word response is all that is necessary, but it must be consistent with your calculations of part a. B. E 4P c. Does the diameter of rod AB increase or decrease when the loads are applied? Briefly justify your answer – a response of only ´increase' or 'decrease' gets no credit. No calculations are necessary.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

The assembly shown in the figure consists of 10 mm diameter titanium
(E = 125 GPa) rods AB and CD, which are anchored to the wall, a 15 mm diameter stainless
steel (E = 200 GPa) rod EF, and a rigid plate G. When the axial loads are applied to the plate
and to the hook at F, the length of the entire assembly changes 5 mm (it either increases or
decreases in length).
Note: Dimensions shown are for the unloaded assembly, and you can assume the material
remains in the elastic region when loaded. Also since the plate G is rigid, its thickness doesn't
change when the loads are applied.
a. Determine P
300 mm
450 mm
b. When the loads are applied, does F move to the
right or to the left? A one word response is all
that is necessary, but it must be consistent with
your calculations of part a.
B.
E
4P
c. Does the diameter of rod AB increase or decrease
when the loads are applied? Briefly justify your
answer – a response of only ´increase' or
'decrease' gets no credit. No calculations are
necessary.

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