A structural member that has a straight longitudinal axis and constant cross section is best described as _______.
1 answer:
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Answer:
Explanation:
The image attached to the question is shown in the first diagram below.
From the diagram given ; we can deduce a free body diagram which will aid us in solving the question.
IF we take a look at the second diagram attached below ; we will have a clear understanding of what the free body diagram of the system looks like :
From the diagram; we can determine the length of BC by using pyhtagoras theorem;
SO;
The cross -sectional of the cable is calculated by the formula :
where d = 4mm
A = 1.26 × 10⁻⁵ m²
However, looking at the maximum deflection in length ; we can calculate for the force
by using the formula:
where ;
E = modulus elasticity
= length of the cable
Replacing 1.26 × 10⁻⁵ m² for A; 200 × 10⁹ Pa for E ; 7.2111 m for and 0.006 m for
; we have:
---- (1)
Similarly; we can determine the force using the allowable maximum stress; we have the following relation,
where;
maximum allowable stress
Replacing 190 × 10⁶ Pa for ; we have :
------ (2)
Comparing (1) and (2)
The magnitude of the force since the elongation of the cable should not exceed 6mm
Finally applying the moment equilibrium condition about point A
P = 1.9937 kN
Hence; the maximum load P that can be applied is 1.9937 kN
