2. Problem Statement: Two cylindrical rods, one of steel and the other of brass, are joined at C and restrained by rigid supports at A and E. For the loading shown and knowing that E, mine (a) the reactions at A and E, (b) the deflection of point C. = 200 GPa and E, = 105 GPa, deter- Dimensions in mm 100 100 -180- -120- A C D Brass E Steel B• 60 kN 40 kN 40-mm diam. 30-mm diam.
2. Problem Statement: Two cylindrical rods, one of steel and the other of brass, are joined at C and restrained by rigid supports at A and E. For the loading shown and knowing that E, mine (a) the reactions at A and E, (b) the deflection of point C. = 200 GPa and E, = 105 GPa, deter- Dimensions in mm 100 100 -180- -120- A C D Brass E Steel B• 60 kN 40 kN 40-mm diam. 30-mm diam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
Two cylindrical rods, one of steel and the other of brass, are joined at C and restrained by rigid supports at A and E. For the loading shown and knowing that E, 200 GPa and E, 105 GPa, deter mine (a) the reactions at A and E. (b) the deflection of point C.
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Solve the problems:
1. Problem Statement
A 4-ft concrete post is reinforced with four steel bars, each with a-in.
diameter. Knowing that E, = 29 × 10° psi and E. = 3.6 × 10° psi,
determine the normal stresses in the steel and in the concrete when
a 150-kip axial centric force P is applied to the post.
4 ft
8 in.
8 in.
2. Problem Statement:
Two cylindrical rods, one of steel and the other of brass, are joined
at C and restrained by rigid supports at A and E. For the loading
shown and knowing that E, = 200 GPa and E, = 105 GPa, deter-
mine (a) the reactions at A and E, (b) the deflection of point C.
Dimensions in mm
100
100
-180 120→|
A
C
D|
E
Steel B.
Brass
60 kN
40 kN
40-mm diam.
30-mm diam.
3. Problem Statement:
= 3.6 x 10° psi and a, = 5.5 x 10-6/°F)
The concrete post (E.
is reinforced with six steel bars, each of 5-in diameter (E, = 29 x
10 psi and a, = 6.5 × 10-6°F). Determine the normal stresses
induced in the steel and in the concrete by a temperature rise
of 65°F.
6 ft
10 in.
10 in.
4. Problem Statement:
A).
Knowing that a 0.02-in. gap exists when the temperature is 75°F,
determine (a) the temperature at which the normal stress in the
aluminum bar will be equal to -1 ksi, (b) the corresponding exact
length of the aluminum bar.
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