2 research outputs found
ΠΠ΅ΡΠΎΠ΄ΠΈΠΊΠ° Π²ΠΈΠ·Π½Π°ΡΠ΅Π½Π½Ρ ΡΠ΅ΡΠΌΠΎΠΏΡΡΠΆΠ½ΠΎΠ³ΠΎ ΡΡΠ°Π½Ρ Π·Π°Π»ΡΠ·ΠΎΠ±Π΅ΡΠΎΠ½Π½ΠΎΡ Π±Π°Π»ΠΊΠΈ ΠΌΠΎΡΡΠ° ΠΏΡΠ΄ΡΠΈΠ»Π΅Π½ΠΎΡ ΠΌΠ΅ΡΠΈΠ»ΠΌΠ΅ΡΠ°ΠΊΡΠΈΠ»Π°ΡΠΎΠΌ
This paper reports the analysis of methods for determining temperature stresses and deformations in bridge structures under the influence of climatic temperature changes in the environment.
A one-dimensional model has been applied to determine the temperature field and thermoelastic state in order to practically estimate the temperature fields and stresses of strengthened beams taking into consideration temperature changes in the environment.
The temperature field distribution has been determined in the vertical direction of a reinforced concrete beam depending on the thickness of the structural reinforcement with methyl methacrylate. It was established that there is a change in the temperature gradient in a contact between the reinforced concrete beam and reinforcement.
The distribution of temperature stresses in the vertical direction of a strengthened reinforced concrete beam has been defined, taking into consideration the thickness of the reinforcement with methyl methacrylate and the value of its elasticity module. It was established that the thickness of the reinforcement does not have a significant impact on increasing stresses while increasing the elasticity module of the structural reinforcement leads to an increase in temperature stresses. The difference in the derived stress values for a beam with methyl methacrylate reinforcement with a thickness of 10Β mm and 20Β mm, at elasticity module E=15,000Β MPa, is up to 3Β % at positive and negative temperatures.
It has been found that there is a change in the nature of the distribution of temperature stresses across the height of the beam at the contact surface of the reinforced concrete beam and methyl methacrylate reinforcement. The value of temperature stresses in the beam with methyl methacrylate reinforcement and exposed to the positive and negative ambient temperatures increases by three times.
It was established that the value of temperature stresses is affected by a difference in the temperature of the reinforced concrete beam and reinforcement, as well as the physical and mechanical parameters of the investigated structural materials of the beam and the structural reinforcement with methyl methacrylateΠΡΠΎΠ²Π΅Π΄Π΅Π½ Π°Π½Π°Π»ΠΈΠ· ΠΌΠ΅ΡΠΎΠ΄ΠΎΠ² ΠΎΠΏΡΠ΅Π΄Π΅Π»Π΅Π½ΠΈΡ ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΠ½ΡΡ
Π½Π°ΠΏΡΡΠΆΠ΅Π½ΠΈΠΉ ΠΈ Π΄Π΅ΡΠΎΡΠΌΠ°ΡΠΈΠΉ Π² ΠΌΠΎΡΡΠΎΠ²ΡΡ
ΠΊΠΎΠ½ΡΡΡΡΠΊΡΠΈΡΡ
ΠΏΡΠΈ Π²ΠΎΠ·Π΄Π΅ΠΉΡΡΠ²ΠΈΠΈ ΠΊΠ»ΠΈΠΌΠ°ΡΠΈΡΠ΅ΡΠΊΠΈΡ
ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΠ½ΡΡ
ΠΏΠ΅ΡΠ΅ΠΏΠ°Π΄ΠΎΠ² ΠΎΠΊΡΡΠΆΠ°ΡΡΠ΅ΠΉ ΡΡΠ΅Π΄Ρ.
ΠΡΠΈΠΌΠ΅Π½Π΅Π½Π° ΠΎΠ΄Π½ΠΎΠΌΠ΅ΡΠ½Π°Ρ ΠΌΠΎΠ΄Π΅Π»Ρ ΠΎΠΏΡΠ΅Π΄Π΅Π»Π΅Π½ΠΈΡ ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΠ½ΠΎΠ³ΠΎ ΠΏΠΎΠ»Ρ ΠΈ ΡΠ΅ΡΠΌΠΎΡΠΏΡΡΠ³ΠΎΠ³ΠΎ ΡΠΎΡΡΠΎΡΠ½ΠΈΡ Π΄Π»Ρ ΠΏΡΠ°ΠΊΡΠΈΡΠ΅ΡΠΊΠΎΠΉ ΠΎΡΠ΅Π½ΠΊΠΈ ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΠ½ΡΡ
ΠΏΠΎΠ»Π΅ΠΉ ΠΈ Π½Π°ΠΏΡΡΠΆΠ΅Π½ΠΈΠΉ ΡΡΠΈΠ»Π΅Π½Π½ΡΡ
Π±Π°Π»ΠΎΠΊ Ρ ΡΡΠ΅ΡΠΎΠΌ Π²ΠΎΠ·Π΄Π΅ΠΉΡΡΠ²ΠΈΡ ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΠ½ΡΡ
ΠΏΠ΅ΡΠ΅ΠΏΠ°Π΄ΠΎΠ² ΠΎΠΊΡΡΠΆΠ°ΡΡΠ΅ΠΉ ΡΡΠ΅Π΄Ρ.
ΠΠΎΠ»ΡΡΠ΅Π½ΠΎ ΡΠ°ΡΠΏΡΠ΅Π΄Π΅Π»Π΅Π½ΠΈΠ΅ ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΠ½ΠΎΠ³ΠΎ ΠΏΠΎΠ»Ρ Π² Π²Π΅ΡΡΠΈΠΊΠ°Π»ΡΠ½ΠΎΠΌ Π½Π°ΠΏΡΠ°Π²Π»Π΅Π½ΠΈΠΈ ΠΆΠ΅Π»Π΅Π·ΠΎΠ±Π΅ΡΠΎΠ½Π½ΠΎΠΉ Π±Π°Π»ΠΊΠΈ Π² Π·Π°Π²ΠΈΡΠΈΠΌΠΎΡΡΠΈ ΠΎΡ ΡΠΎΠ»ΡΠΈΠ½Ρ ΠΊΠΎΠ½ΡΡΡΡΠΊΡΠΈΠ²Π½ΠΎΠ³ΠΎ ΡΡΠΈΠ»Π΅Π½ΠΈΡ ΠΌΠ΅ΡΠΈΠ»ΠΌΠ΅ΡΠ°ΠΊΡΠΈΠ»Π°ΡΠΎΠΌ. Π£ΡΡΠ°Π½ΠΎΠ²Π»Π΅Π½ΠΎ, ΡΡΠΎ Π½Π° ΠΊΠΎΠ½ΡΠ°ΠΊΡΠ΅ ΠΆΠ΅Π»Π΅Π·ΠΎΠ±Π΅ΡΠΎΠ½Π½ΠΎΠΉ Π±Π°Π»ΠΊΠΈ ΠΈ ΡΡΠΈΠ»Π΅Π½ΠΈΡ Π½Π°Π±Π»ΡΠ΄Π°Π΅ΡΡΡ ΠΈΠ·ΠΌΠ΅Π½Π΅Π½ΠΈΠ΅ Π³ΡΠ°Π΄ΠΈΠ΅Π½ΡΠ° ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΡ.
ΠΠΎΠ»ΡΡΠ΅Π½ΠΎ ΡΠ°ΡΠΏΡΠ΅Π΄Π΅Π»Π΅Π½ΠΈΠ΅ ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΠ½ΡΡ
Π½Π°ΠΏΡΡΠΆΠ΅Π½ΠΈΠΉ Π² Π²Π΅ΡΡΠΈΠΊΠ°Π»ΡΠ½ΠΎΠΌ Π½Π°ΠΏΡΠ°Π²Π»Π΅Π½ΠΈΠΈ ΡΡΠΈΠ»Π΅Π½Π½ΠΎΠΉ ΠΆΠ΅Π»Π΅Π·ΠΎΠ±Π΅ΡΠΎΠ½Π½ΠΎΠΉ Π±Π°Π»ΠΊΠΈ Ρ ΡΡΠ΅ΡΠΎΠΌ ΡΠΎΠ»ΡΠΈΠ½Ρ ΡΡΠΈΠ»Π΅Π½ΠΈΡ ΠΌΠ΅ΡΠΈΠ»ΠΌΠ΅ΡΠ°ΠΊΡΠΈΠ»Π°ΡΠΎΠΌ ΠΈ Π²Π΅Π»ΠΈΡΠΈΠ½Ρ ΠΌΠΎΠ΄ΡΠ»Ρ Π΅Π³ΠΎ ΡΠΏΡΡΠ³ΠΎΡΡΠΈ. Π£ΡΡΠ°Π½ΠΎΠ²Π»Π΅Π½ΠΎ, ΡΡΠΎ ΡΠΎΠ»ΡΠΈΠ½Π° ΡΡΠΈΠ»Π΅Π½ΠΈΡ Π½Π΅ ΠΎΠΊΠ°Π·ΡΠ²Π°Π΅Ρ Π·Π½Π°ΡΠΈΡΠ΅Π»ΡΠ½ΠΎΠ³ΠΎ Π²Π»ΠΈΡΠ½ΠΈΡ Π½Π° ΠΏΠΎΠ²ΡΡΠ΅Π½ΠΈΠ΅ Π½Π°ΠΏΡΡΠΆΠ΅Π½ΠΈΠΉ, ΠΎΠ΄Π½Π°ΠΊΠΎ ΡΠ²Π΅Π»ΠΈΡΠ΅Π½ΠΈΠ΅ ΠΌΠΎΠ΄ΡΠ»Ρ ΡΠΏΡΡΠ³ΠΎΡΡΠΈ ΠΊΠΎΠ½ΡΡΡΡΠΊΡΠΈΠ²Π½ΠΎΠ³ΠΎ ΡΡΠΈΠ»Π΅Π½ΠΈΡ ΠΏΡΠΈΠ²ΠΎΠ΄ΠΈΡ ΠΊ ΠΏΠΎΠ²ΡΡΠ΅Π½ΠΈΡ ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΠ½ΡΡ
Π½Π°ΠΏΡΡΠΆΠ΅Π½ΠΈΠΉ. Π Π°Π·Π½ΠΈΡΠ° ΠΏΠΎΠ»ΡΡΠ΅Π½Π½ΡΡ
Π·Π½Π°ΡΠ΅Π½ΠΈΠΉ Π½Π°ΠΏΡΡΠΆΠ΅Π½ΠΈΠΉ Π΄Π»Ρ Π±Π°Π»ΠΊΠΈ Ρ ΠΌΠ΅ΡΠΈΠ»ΠΌΠ΅ΡΠ°ΠΊΡΠΈΠ»Π°ΡΠ½ΡΠΌ ΡΡΠΈΠ»Π΅Π½ΠΈΠ΅ΠΌ ΡΠΎΠ»ΡΠΈΠ½ΠΎΠΉ 10 ΠΌΠΌ ΠΈ 20 ΠΌΠΌ ΠΏΡΠΈ ΠΌΠΎΠ΄ΡΠ»Π΅ ΡΠΏΡΡΠ³ΠΎΡΡΠΈ Π=15000 ΠΠΠ° ΡΠΎΡΡΠ°Π²Π»ΡΠ΅Ρ Π΄ΠΎ 3% ΠΏΡΠΈ ΠΏΠΎΠ»ΠΎΠΆΠΈΡΠ΅Π»ΡΠ½ΡΡ
ΠΈ ΠΎΡΡΠΈΡΠ°ΡΠ΅Π»ΡΠ½ΡΡ
ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΠ°Ρ
.
Π£ΡΡΠ°Π½ΠΎΠ²Π»Π΅Π½ΠΎ, ΡΡΠΎ Π½Π° ΠΊΠΎΠ½ΡΠ°ΠΊΡΠ½ΠΎΠΉ ΠΏΠΎΠ²Π΅ΡΡ
Π½ΠΎΡΡΠΈ ΠΆΠ΅Π»Π΅Π·ΠΎΠ±Π΅ΡΠΎΠ½Π½ΠΎΠΉ Π±Π°Π»ΠΊΠΈ ΠΈ ΠΌΠ΅ΡΠΈΠ»ΠΌΠ΅ΡΠ°ΠΊΡΠΈΠ»Π°ΡΠ½ΠΎΠ³ΠΎ ΡΡΠΈΠ»Π΅Π½ΠΈΡ ΠΏΡΠΎΠΈΡΡ
ΠΎΠ΄ΠΈΡ ΠΈΠ·ΠΌΠ΅Π½Π΅Π½ΠΈΠ΅ Ρ
Π°ΡΠ°ΠΊΡΠ΅ΡΠ° ΡΠ°ΡΠΏΡΠ΅Π΄Π΅Π»Π΅Π½ΠΈΡ ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΠ½ΡΡ
Π½Π°ΠΏΡΡΠΆΠ΅Π½ΠΈΠΉ ΠΏΠΎ Π²ΡΡΠΎΡΠ΅ Π±Π°Π»ΠΊΠΈ. ΠΠ½Π°ΡΠ΅Π½ΠΈΠ΅ ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΠ½ΡΡ
Π½Π°ΠΏΡΡΠΆΠ΅Π½ΠΈΠΉ Π² Π±Π°Π»ΠΊΠ΅ Ρ ΠΌΠ΅ΡΠΈΠ»ΠΌΠ΅ΡΠ°ΠΊΡΠΈΠ»Π°ΡΠ½ΡΠΌ ΡΡΠΈΠ»Π΅Π½ΠΈΠ΅ΠΌ ΠΈ Π΄Π΅ΠΉΡΡΠ²ΠΈΠ΅ ΠΏΠΎΠ»ΠΎΠΆΠΈΡΠ΅Π»ΡΠ½ΡΡ
ΠΈ ΠΎΡΡΠΈΡΠ°ΡΠ΅Π»ΡΠ½ΡΡ
ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡ ΠΎΠΊΡΡΠΆΠ°ΡΡΠ΅ΠΉ ΡΡΠ΅Π΄Ρ ΡΠ²Π΅Π»ΠΈΡΠΈΠ²Π°Π΅ΡΡΡ Π² ΡΡΠΈ ΡΠ°Π·Π°.
Π£ΡΡΠ°Π½ΠΎΠ²Π»Π΅Π½ΠΎ, ΡΡΠΎ Π½Π° Π²Π΅Π»ΠΈΡΠΈΠ½Ρ ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΠ½ΡΡ
Π½Π°ΠΏΡΡΠΆΠ΅Π½ΠΈΠΉ Π²Π»ΠΈΡΠ΅Ρ ΡΠ°Π·Π½ΠΈΡΠ° ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡ ΠΆΠ΅Π»Π΅Π·ΠΎΠ±Π΅ΡΠΎΠ½Π½ΠΎΠΉ Π±Π°Π»ΠΊΠΈ ΠΈ ΡΡΠΈΠ»Π΅Π½ΠΈΡ, Π° ΡΠ°ΠΊΠΆΠ΅ ΡΠΈΠ·ΠΈΠΊΠΎ-ΠΌΠ΅Ρ
Π°Π½ΠΈΡΠ΅ΡΠΊΠΈΠ΅ ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΡ ΠΈΡΡΠ»Π΅Π΄ΡΠ΅ΠΌΡΡ
ΠΊΠΎΠ½ΡΡΡΡΠΊΡΠΈΠΎΠ½Π½ΡΡ
ΠΌΠ°ΡΠ΅ΡΠΈΠ°Π»ΠΎΠ² Π±Π°Π»ΠΊΠΈ ΠΈ ΠΊΠΎΠ½ΡΡΡΡΠΊΡΠΈΠ²Π½ΠΎΠ³ΠΎ ΡΡΠΈΠ»Π΅Π½ΠΈΡ ΠΌΠ΅ΡΠΈΠ»ΠΌΠ΅ΡΠ°ΠΊΡΠΈΠ»Π°ΡΠΎΠΌΠΡΠΎΠ²Π΅Π΄Π΅Π½ΠΎ Π°Π½Π°Π»ΡΠ· ΠΌΠ΅ΡΠΎΠ΄ΡΠ² Π²ΠΈΠ·Π½Π°ΡΠ΅Π½Π½Ρ ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΠ½ΠΈΡ
Π½Π°ΠΏΡΡΠΆΠ΅Π½Ρ ΡΠ° Π΄Π΅ΡΠΎΡΠΌΠ°ΡΡΠΉ Ρ ΠΌΠΎΡΡΠΎΠ²ΠΈΡ
ΠΊΠΎΠ½ΡΡΡΡΠΊΡΡΡΡ
ΠΏΡΠΈ Π΄ΡΡ ΠΊΠ»ΡΠΌΠ°ΡΠΈΡΠ½ΠΈΡ
ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΠ½ΠΈΡ
ΠΏΠ΅ΡΠ΅ΠΏΠ°Π΄ΡΠ² Π½Π°Π²ΠΊΠΎΠ»ΠΈΡΠ½ΡΠΎΠ³ΠΎ ΡΠ΅ΡΠ΅Π΄ΠΎΠ²ΠΈΡΠ°.
ΠΠ°ΡΡΠΎΡΠΎΠ²Π°Π½ΠΎ ΠΎΠ΄Π½ΠΎΠ²ΠΈΠΌΡΡΠ½Ρ ΠΌΠΎΠ΄Π΅Π»Ρ Π²ΠΈΠ·Π½Π°ΡΠ΅Π½Π½Ρ ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΠ½ΠΎΠ³ΠΎ ΠΏΠΎΠ»Ρ ΡΠ° ΡΠ΅ΡΠΌΠΎΠΏΡΡΠΆΠ½ΠΎΠ³ΠΎ ΡΡΠ°Π½Ρ Π΄Π»Ρ ΠΏΡΠ°ΠΊΡΠΈΡΠ½ΠΎΡ ΠΎΡΡΠ½ΠΊΠΈ ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΠ½ΠΈΡ
ΠΏΠΎΠ»ΡΠ² ΡΠ° Π½Π°ΠΏΡΡΠΆΠ΅Π½Ρ ΠΏΡΠ΄ΡΠΈΠ»Π΅Π½ΠΈΡ
Π±Π°Π»ΠΎΠΊ ΡΠ· Π²ΡΠ°Ρ
ΡΠ²Π°Π½Π½ΡΠΌ ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΠ½ΠΈΡ
ΠΏΠ΅ΡΠ΅ΠΏΠ°Π΄ΡΠ² Π½Π°Π²ΠΊΠΎΠ»ΠΈΡΠ½ΡΠΎΠ³ΠΎ ΡΠ΅ΡΠ΅Π΄ΠΎΠ²ΠΈΡΠ°.
ΠΡΡΠΈΠΌΠ°Π½ΠΎ ΡΠΎΠ·ΠΏΠΎΠ΄ΡΠ» ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΠ½ΠΎΠ³ΠΎ ΠΏΠΎΠ»Ρ Ρ Π²Π΅ΡΡΠΈΠΊΠ°Π»ΡΠ½ΠΎΠΌΡ Π½Π°ΠΏΡΡΠΌΡ Π·Π°Π»ΡΠ·ΠΎΠ±Π΅ΡΠΎΠ½Π½ΠΎΡ Π±Π°Π»ΠΊΠΈ Ρ Π·Π°Π»Π΅ΠΆΠ½ΠΎΡΡΡ Π²ΡΠ΄ ΡΠΎΠ²ΡΠΈΠ½ΠΈ ΠΊΠΎΠ½ΡΡΡΡΠΊΡΠΈΠ²Π½ΠΎΠ³ΠΎ ΠΏΡΠ΄ΡΠΈΠ»Π΅Π½Π½Ρ ΠΌΠ΅ΡΠΈΠ»ΠΌΠ΅ΡΠ°ΠΊΡΠΈΠ»Π°ΡΠΎΠΌ. ΠΡΡΠ°Π½ΠΎΠ²Π»Π΅Π½ΠΎ, ΡΠΎ Π½Π° ΠΊΠΎΠ½ΡΠ°ΠΊΡΡ Π·Π°Π»ΡΠ·ΠΎΠ±Π΅ΡΠΎΠ½Π½ΠΎΡ Π±Π°Π»ΠΊΠΈ ΡΠ° ΠΏΡΠ΄ΡΠΈΠ»Π΅Π½Π½Ρ ΡΠΏΠΎΡΡΠ΅ΡΡΠ³Π°ΡΡΡΡΡ Π·ΠΌΡΠ½Π° Π³ΡΠ°Π΄ΡΡΠ½ΡΡ ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΠΈ.
ΠΡΡΠΈΠΌΠ°Π½ΠΎ ΡΠΎΠ·ΠΏΠΎΠ΄ΡΠ» ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΠ½ΠΈΡ
Π½Π°ΠΏΡΡΠΆΠ΅Π½Ρ Ρ Π²Π΅ΡΡΠΈΠΊΠ°Π»ΡΠ½ΠΎΠΌΡ Π½Π°ΠΏΡΡΠΌΡ ΠΏΡΠ΄ΡΠΈΠ»Π΅Π½ΠΎΡ Π·Π°Π»ΡΠ·ΠΎΠ±Π΅ΡΠΎΠ½Π½ΠΎΡ Π±Π°Π»ΠΊΠΈ ΡΠ· Π²ΡΠ°Ρ
ΡΠ²Π°Π½Π½ΡΠΌ ΡΠΎΠ²ΡΠΈΠ½ΠΈ ΠΏΡΠ΄ΡΠΈΠ»Π΅Π½Π½Ρ ΠΌΠ΅ΡΠΈΠ»ΠΌΠ΅ΡΠ°ΠΊΡΠΈΠ»Π°ΡΠΎΠΌ ΡΠ° Π²Π΅Π»ΠΈΡΠΈΠ½ΠΈ ΠΌΠΎΠ΄ΡΠ»Ρ ΠΉΠΎΠ³ΠΎ ΠΏΡΡΠΆΠ½ΠΎΡΡΡ. ΠΡΡΠ°Π½ΠΎΠ²Π»Π΅Π½ΠΎ, ΡΠΎ ΡΠΎΠ²ΡΠΈΠ½Π° ΠΏΡΠ΄ΡΠΈΠ»Π΅Π½Π½Ρ Π½Π΅ ΠΌΠ°Ρ Π·Π½Π°ΡΠ½ΠΎΠ³ΠΎ Π²ΠΏΠ»ΠΈΠ²Ρ Π½Π° ΠΏΡΠ΄Π²ΠΈΡΠ΅Π½Π½Ρ Π½Π°ΠΏΡΡΠΆΠ΅Π½Ρ, ΠΏΡΠΎΡΠ΅ Π·Π±ΡΠ»ΡΡΠ΅Π½Π½Ρ ΠΌΠΎΠ΄ΡΠ»Ρ ΠΏΡΡΠΆΠ½ΠΎΡΡΡ ΠΊΠΎΠ½ΡΡΡΡΠΊΡΠΈΠ²Π½ΠΎΠ³ΠΎ ΠΏΡΠ΄ΡΠΈΠ»Π΅Π½Π½Ρ ΠΏΡΠΈΠ·Π²ΠΎΠ΄ΠΈΡΡ Π΄ΠΎ ΠΏΡΠ΄Π²ΠΈΡΠ΅Π½Π½Ρ ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΠ½ΠΈΡ
Π½Π°ΠΏΡΡΠΆΠ΅Π½Ρ. Π ΡΠ·Π½ΠΈΡΡ ΠΎΡΡΠΈΠΌΠ°Π½ΠΈΡ
Π·Π½Π°ΡΠ΅Π½Ρ Π½Π°ΠΏΡΡΠΆΠ΅Π½Ρ Π΄Π»Ρ Π±Π°Π»ΠΊΠΈ ΡΠ· ΠΌΠ΅ΡΠΈΠ»ΠΌΠ΅ΡΠ°ΠΊΡΠΈΠ»Π°ΡΠ½ΠΈΠΌ ΠΏΡΠ΄ΡΠΈΠ»Π΅Π½Π½ΡΠΌ ΡΠΎΠ²ΡΠΈΠ½ΠΎΡ 10 ΠΌΠΌ Ρ 20 ΠΌΠΌ ΠΏΡΠΈ ΠΌΠΎΠ΄ΡΠ»Ρ ΠΏΡΡΠΆΠ½ΠΎΡΡΡ Π=15000 ΠΠΠ° ΡΡΠ°Π½ΠΎΠ²ΠΈΡΡ Π΄ΠΎ 3 % ΠΏΡΠΈ Π΄ΠΎΠ΄Π°ΡΠ½ΠΈΡ
Ρ Π²ΡΠ΄βΡΠΌΠ½ΠΈΡ
ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΠ°Ρ
.
ΠΡΡΠ°Π½ΠΎΠ²Π»Π΅Π½ΠΎ, ΡΠΎ Π½Π° ΠΊΠΎΠ½ΡΠ°ΠΊΡΠ½ΡΠΉ ΠΏΠΎΠ²Π΅ΡΡ
Π½Ρ Π·Π°Π»ΡΠ·ΠΎΠ±Π΅ΡΠΎΠ½Π½ΠΎΡ Π±Π°Π»ΠΊΠΈ Ρ ΠΌΠ΅ΡΠΈΠ»ΠΌΠ΅ΡΠ°ΠΊΡΠΈΠ»Π°ΡΠ½ΠΎΠ³ΠΎ ΠΏΡΠ΄ΡΠΈΠ»Π΅Π½Π½Ρ Π²ΡΠ΄Π±ΡΠ²Π°ΡΡΡΡΡ Π·ΠΌΡΠ½Π° Ρ
Π°ΡΠ°ΠΊΡΠ΅ΡΡ ΡΠΎΠ·ΠΏΠΎΠ΄ΡΠ»Ρ ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΠ½ΠΈΡ
Π½Π°ΠΏΡΡΠΆΠ΅Π½Ρ ΠΏΠΎ Π²ΠΈΡΠΎΡΡ Π±Π°Π»ΠΊΠΈ. ΠΠ½Π°ΡΠ΅Π½Π½Ρ ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΠ½ΠΈΡ
Π½Π°ΠΏΡΡΠΆΠ΅Π½Ρ Ρ Π±Π°Π»ΡΡ ΡΠ· ΠΌΠ΅ΡΠΈΠ»ΠΌΠ΅ΡΠ°ΠΊΡΠΈΠ»Π°ΡΠ½ΠΈΠΌ ΠΏΡΠ΄ΡΠΈΠ»Π΅Π½Π½ΡΠΌ Ρ Π΄ΡΡ Π΄ΠΎΠ΄Π°ΡΠ½ΠΈΡ
ΡΠ° Π²ΡΠ΄βΡΠΌΠ½ΠΈΡ
ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡ Π½Π°Π²ΠΊΠΎΠ»ΠΈΡΠ½ΡΠΎΠ³ΠΎ ΡΠ΅ΡΠ΅Π΄ΠΎΠ²ΠΈΡΠ° Π·Π±ΡΠ»ΡΡΡΡΡΡΡΡ Ρ ΡΡΠΈ ΡΠ°Π·ΠΈ.
ΠΡΡΠ°Π½ΠΎΠ²Π»Π΅Π½ΠΎ, ΡΠΎ Π½Π° Π²Π΅Π»ΠΈΡΠΈΠ½Ρ ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡΠ½ΠΈΡ
Π½Π°ΠΏΡΡΠΆΠ΅Π½Ρ Π²ΠΏΠ»ΠΈΠ²Π°Ρ ΡΡΠ·Π½ΠΈΡΡ ΡΠ΅ΠΌΠΏΠ΅ΡΠ°ΡΡΡ Π·Π°Π»ΡΠ·ΠΎΠ±Π΅ΡΠΎΠ½Π½ΠΎΡ Π±Π°Π»ΠΊΠΈ Ρ ΠΏΡΠ΄ΡΠΈΠ»Π΅Π½Π½Ρ, Π° ΡΠ°ΠΊΠΎΠΆ ΡΡΠ·ΠΈΠΊΠΎ-ΠΌΠ΅Ρ
Π°Π½ΡΡΠ½Ρ ΠΏΠ°ΡΠ°ΠΌΠ΅ΡΡΠΈ Π΄ΠΎΡΠ»ΡΠ΄ΠΆΡΠ²Π°Π½ΠΈΡ
ΠΊΠΎΠ½ΡΡΡΡΠΊΡΡΠΉΠ½ΠΈΡ
ΠΌΠ°ΡΠ΅ΡΡΠ°Π»ΡΠ² Π±Π°Π»ΠΊΠΈ ΡΠ° ΠΊΠΎΠ½ΡΡΡΡΠΊΡΠΈΠ²Π½ΠΎΠ³ΠΎ ΠΏΡΠ΄ΡΠΈΠ»Π΅Π½Π½Ρ ΠΌΠ΅ΡΠΈΠ»ΠΌΠ΅ΡΠ°ΠΊΡΠΈΠ»Π°ΡΠΎ
Procedure for Determining the Thermoelastic State of A Reinforced Concrete Bridge Beam Strengthened with Methyl Methacrylate
This paper reports the analysis of methods for determining temperature stresses and deformations in bridge structures under the influence of climatic temperature changes in the environment.
A one-dimensional model has been applied to determine the temperature field and thermoelastic state in order to practically estimate the temperature fields and stresses of strengthened beams taking into consideration temperature changes in the environment.
The temperature field distribution has been determined in the vertical direction of a reinforced concrete beam depending on the thickness of the structural reinforcement with methyl methacrylate. It was established that there is a change in the temperature gradient in a contact between the reinforced concrete beam and reinforcement.
The distribution of temperature stresses in the vertical direction of a strengthened reinforced concrete beam has been defined, taking into consideration the thickness of the reinforcement with methyl methacrylate and the value of its elasticity module. It was established that the thickness of the reinforcement does not have a significant impact on increasing stresses while increasing the elasticity module of the structural reinforcement leads to an increase in temperature stresses. The difference in the derived stress values for a beam with methyl methacrylate reinforcement with a thickness of 10 mm and 20 mm, at elasticity module E=15,000 MPa, is up to 3 % at positive and negative temperatures.
It has been found that there is a change in the nature of the distribution of temperature stresses across the height of the beam at the contact surface of the reinforced concrete beam and methyl methacrylate reinforcement. The value of temperature stresses in the beam with methyl methacrylate reinforcement and exposed to the positive and negative ambient temperatures increases by three times.
It was established that the value of temperature stresses is affected by a difference in the temperature of the reinforced concrete beam and reinforcement, as well as the physical and mechanical parameters of the investigated structural materials of the beam and the structural reinforcement with methyl methacrylat