Title | Semana 6 - CI52- ejercicios |
---|---|
Course | Mecánica de Materiales |
Institution | Universidad Peruana de Ciencias Aplicadas |
Pages | 6 |
File Size | 367 KB |
File Type | |
Total Downloads | 60 |
Total Views | 133 |
Ejercicios resueltos de practica con el profe cubano...
ũĞƌĐŝĐŝŽϭ ƐĄďĂĚŽϮϲĚĞƐĞƚŝĞŵďƌĞĚĞϮϬϮϬ
ϭϬϱϳ
hŶĂǀŝŐĂƐŝŵƉůĞŵĞŶƚĞĂƉŽLJĂĚĂĚĞϱŵƚŝĞŶĞƵŶĂĨƵĞƌnjĂĚŝƐƚƌŝďƵŝĚĂĚĞϭϮŬEŵ>ĂƐĞĐĐŝſŶƚƌĂŶƐǀĞƌƐĂůƐĞ ŵƵĞƐƚƌĂĞŶůĂĨŝŐƵƌĂ Ă ŶůĂƐĞĐĐŝſŶĂͲĂĚĞƚĞƌŵŝŶĞůĂŵĂŐŶŝƚƵĚĚĞůĞƐĨƵĞƌnjŽĐŽƌƚĂŶƚĞĞŶĞůƉƵŶƚŽ, ď ŶůĂƐĞĐĐŝſŶĂͲĂĚĞƚĞƌŵŝŶĞůĂŵĂŐŶŝƚƵĚĚĞůĞƐĨƵĞƌnjŽĐŽƌƚĂŶƚĞĞŶĞůƉƵŶƚŽ WƌŽƉŝĞĚĂƐŐĞŽŵĠƚƌŝĐĂƐ ĂůĐƵůĂƌůŽƐĞƐĨƵĞƌnjŽƐ
߬ൌ
ࢂܳ ݐܫ
> WĂƌĂĞůƉƵŶƚŽ, ͳ ሺͳͲͲ ሻሺ͵ͲͲଷሻ ൌ ʹʹͷͲͲͲͲͲͲ ͳʹ ܳு ൌ ሺͳͲͲሻሺ ͻͲሻሺ Ͷͷ Ͳሻ ൌ ͻͶͷͲͲͲ ݐൌ ͳͲͲ ܽ ܽ ሺͳͺሻሺ ͻͶͷͲͲͲሻ ܲ ܲ ൌ ͲǤͲͲͲ ܩൌ ͲǤ ܯ ߬ு ൌ ሺʹʹͷͲͲͲͲͲͲሻሺͳͲͲሻ ܫൌ
WĂƌĂĞůƉƵŶƚŽ
σܨ௬ ൌ Ͳ ͳʹͷ ሺ ͳͲݔሻ ݔ െܸ െ ൌͲ ͳʹ ʹ ͳʹͷ ܸൌ െ ͷ ݔଶ ͳʹ
WĂƌĂĐĂůĐƵůĂƌŵŽŵĞŶƚŽŵĄdžŝŵŽ ĚDĚdžсϬсs ͳʹͷ ܸൌ െ ͷ ݔଶ ൌ ͲǢ ͳʹ ͷ ξ͵ ݔൌ ͷ ξ͵ ͷ ݔଷ ͳʹͷ ݔǡ ݔൌ ܯൌെ ͵ ͳʹ ܯൌ ͳͲǤͲʹ͵ͶͶ ܰ݇Ǥ ݉
σ ܯൌ Ͳ ሺͳͲݔሻʹͳ ݔ ݔͷ ܯ ቆ ቇ ൬ ൰െ ሺ ݔሻ ൌ Ͳ ʹ ͵ ͳʹ ͷ ݔଷ ͳʹͷ ݔ ܯൌെ ͳʹ ͵
WĂƌĂĐĂůĐƵůĂƌĞůĐŽƌƚĂŶƚĞŵĂdžŝŵŽ ĚsĚdžсϬ െͳͲ ݔൌ ͲǢ ܺ ൌ Ͳ ܸ௫ ൌ െ ൫ ൌ ൯ ͳʹͷ ͳʹͷ ଶ െ ͷሺʹǤͷሻ ൌ െ ܸൌ ͳʹ
ĂůĐƵůŽĚĞůŽƐĞƐĨƵĞƌnjŽƐ ͳ ͳ ݀ସ ଷ ܫൌ ͳʹ ቆ ʹ ݀ቇ ሺ ݀ ሻ ൌ ʹͶ ݀ଷ ͳ ݀ ݀ ܳ ൌ ቆ ݀ቇ ቆ ቇ ቆ ቇ ൌ ʹ ͳ ʹ Ͷ ݀ ݐൌ ʹ
݀ ଷ ݕܯሺͳͲǤͲʹ͵ͶͶ ൈ ͳͲ ሻ ൬ʹ ൰ ൌ ߪൌ ͳʹ ൈ ͳͲ ݀ସ ܫ ݀ ͲǤʹͳͷ ݉ ߬ൌ
ܸܳ ൌ ݐܫ
ͳʹͷ ݀ଷ ൬ ൈ ͳͲଷቆ൰ͳቇ
݀ ͲǤ͵ͷ͵ ݉
ZĞƐƉƵĞƐƚĂĚсϬϯϱϯϲŵ
ʹͶ
݀ସ ݀ ൬ ൬൰ ൰ ʹͶ ʹ
ͲǤͷ ൈ ͳͲ
ũĞƌĐŝĐŝŽϱ ŵĂƌƚĞƐϮϮĚĞƐĞƚŝĞŵďƌĞĚĞϮϬϮϬ
ϭϮϯϭ
WĂƌĂůĂǀŝŐĂŵŽƐƚƌĂĚĂĐĂůĐƵůĂƌ Ă >ŽƐŵĄdžŝŵŽƐǀĂůŽƌĞƐĚĞĞƐĨƵĞƌnjŽŶŽƌŵĂůĚĞƚƌĂĐĐŝſŶLJĐŽŵƉƌĞƐŝſŶ ď WĂƌĂůĂƐĞĐĐŝſŶƐŝƚƵĂĚĂĞŶĐŝŵĂĚĞůĂƉŽLJŽĞŶĐĂůĐƵůĂƌĞůŵĄdžŝŵŽĞƐĨƵĞƌnjŽƚƌĂŶƐǀĞƌƐĂůĐŽƌƚĂŶƚĞ
ĂƚŽƐŐĞŽŵĠƚƌŝĐŽƐ
ĂƌƌĂ
ŝ
zŝ
LJŝ
/ŝ
ϭ
ϭϲdžϯϲсϱϳϲ
ϭϴ
ϱϳϲdžϭϴсϭϬϯϲϴ
ϭϭϮdžϭϲdžϯϲΔϯсϲϮϮϬϴ ϮϮͲϭϴсϰ ϱϳϲdžϰΔϮсϵϮϭϲ
Ϯ;ͲͿ
ϭϮdžϮϰсϮϴϴ
ϭϰ
ϮϴϴdžϭϰсϰϬϯϮ
ϭϭϮdžϭϮdžϮϰΔϯсϭϯϴϮϰ ϮϮͲϭϰсϴ ϮϴϴdžϴΔϮсϭϴϰϯϮ
ϱϳϲͲϮϴϴсϮϴϴ
ϭϬϯϲϴͲϰϬϯϮсϲϯϯϲ ϲϮϮϬϴͲϭϯϴϮϰсϰϴϯϴϰ
͵͵ ൌ ʹʹǡ ܫ௫ ൌ Ͷͺ͵ͺͶ ሺെͻʹͳሻ ൌ ͵ͻͳͺ ܿ݉ ସ ʹͺͺ ܳ௫ ൌ ͳ ሺʹʹሻሺ ͳͳሻ െ ሺͳʹሻሺʹͲ ሻሺͳͲሻ ൌ ͳͶʹ ܿ݉ ଷ ݕ ൌ
> σܯ ൌ Ͳ െ͵ͷͲሺͶሻሺʹሻ െ ͶͲͲሺͷ ሻ ܤ௬ ሺͶሻ ൌ Ͳ ܤ௬ ൌ ͳʹͲͲ σܨ௬ ൌ Ͳ ܣ௬ ͳʹͲͲ ൌ ͵ͷͲሺͶሻ ͶͲͲ ܣ௬ ൌ ͲͲ
Ěŝ
ŝĚŝΔϮ
ϵϮϭϲͲϭϴϰϯϮсͲϵϮϭϲ
ĂůĐƵůŽĚĞůŽƐĞƐĨƵĞƌnjŽƐ WĂƌĂDснϯϲϬϬϳEŵ ͵ͲͲ ሺ ሻሺʹʹ ൈ ͳͲିଶሻ ߪ௧ ൌ ൌ ʹͺͺǤͺ ܽܲ݇ ͵ͻͳͺ ൈ ͳͲି଼
ߪ ൌ െ
൬
͵ͲͲ ሺͳͶ ൰ ൈ ͳͲିଶሻ ൌ െͳͺ͵Ǥͺʹ ܽܲ݇ ͵ͻͳͺ ൈ ͳͲି଼
WĂƌĂDсͲϰϬϬEŵ ߪ௧ ൌ
ሺͶͲͲሻሺͳͶ ൈ ͳͲିଶሻ ൌ ͳͶʹǤͻ ܽܲ݇ ͵ͻͳͺ ൈ ͳͲି଼
WĂƌĂsсͲϴϬϬE
߬ൌ
ܽ ሺͺͲͲሻሺͳͶʹ ൈ ͳͲିሻ ܸܳ ܲ ൌ ܯ ൌ ͷǤͳ͵ ݐܫ ሺ͵ͻͳͺ ൈ ͳͲି଼ሻሺͶ ൈ ͳͲିଶሻ
ߪ ൌ െ
ሺ ͶͲͲሻሺʹʹ ൈ ͳͲିଶሻ ൌ െʹʹͶǤ ܽܲ݇ ͵ͻͳͺ ൈ ͳͲି଼
ũĞƌĐŝĐŝŽϲ ŵĂƌƚĞƐϮϮĚĞƐĞƚŝĞŵďƌĞĚĞϮϬϮϬ
ϭϮϯϵ
>ĂǀŝŐĂŵŽƐƚƌĂĚĂĞŶůĂĨŝŐƵƌĂƐŽƉŽƌƚĂĚŽƐĐĂƌŐĂƐƵŶŝĨŽƌŵĞŵĞŶƚĞĚŝƐƚƌŝďƵŝĚĂƐLJƵŶĂĐĂƌŐĂĐŽŶĐĞŶƚƌĂĚĂ^ĞƉŝĚĞůŽ ƐŝŐƵŝĞŶƚĞ ĂͿ WĂƌĂůĂƐĞĐĐŝſŶĚĞŵĄdžŝŵŽŵŽŵĞŶƚŽƉŽƐŝƚŝǀŽĞŶůĂƉĂƌƚĞĐĞŶƚƌĂůĚĞůƚƌĂŵŽ;ĞŶǀĂůŽƌĂďƐŽůƵƚŽͿĐĂůĐƵůĂƌůŽƐ ĞƐĨƵĞƌnjŽƐŶŽƌŵĂůĞƐŵĄdžŝŵŽƐŝŶĚŝĐĂŶĚŽƐŝĞƐƚĄŶĞŶƚĞŶƐŝſŶŽĞŶĐŽŵƉƌĞƐŝſŶ;ϰƉƵŶƚŽƐͿ ďͿ WĂƌĂůĂƐĞĐĐŝſŶĚĞŵĄdžŝŵĂĨƵĞƌnjĂĐŽƌƚĂŶƚĞĞŶƚŽĚĂůĂǀŝŐĂĐĂůĐƵůĂƌĞůŵĄdžŝŵŽĞƐĨƵĞƌnjŽĐŽƌƚĂŶƚĞ;ϯƉƵŶƚŽƐͿ
ĂƚŽƐŐĞŽŵĠƚƌŝĐŽƐ ^ĞĐĐŝſŶ ŝ
>
zŝ
ŝLJŝ
/ŝ
Ěŝ
ŝĚŝΔϮ
ϭ
ϯϬdžϰϱсϭϯϱ Ϯϭϳϱ
ϭϯϱdžϮϭϳϱсϮϵϯϲϮϱ ϭϭϮdžϯϬdžϰϱΔϯсϮϮϳϴϭϮϱ ϮϭϳϱͲϭϰϰϯϳϱсϳϯϭϮϱ ϭϯϱdžϳϯϭϮϱΔϮсϳϮϭϴϴϬϴϲ
Ϯ
ϭϱdžϰϱсϲϳϱ ϭϮ
ϲϳϱdžϭϮсϴϭϬ
ϭϭϮdžϰϱdžϭϱΔϯсϭϮϲϱϲϮϱ ϭϮͲϭϰϰϯϳϱсͲϮϰϯϳϱ
ϯ
ϭϱdžϰϱсϲϳϱ ϮϮϱ
ϲϳϱdžϮϮϱсϭϱϭϴϳϱ
ϭϭϮdžϭϱdžϰϱΔϯсϭϭϯϵϬϲϯ ϮϮϱͲϭϰϰϯϳϱсͲϭϮϭϴϳϱ ϲϳϱdžϭϮϭϴϳϱΔϮсϭϬϬϮϲϭϮϯ
ϮϳϬ
ϯϴϵϴϭϮϱ
ϭϲϬϳϯϰϯϴ
ݕ ൌ
͵ͺͻͺǤͳʹͷ ൌ ͳͶǤͶ͵ͷ ݉ܿǢ ܫ௫ ൌ ͳͲǤ͵Ͷ͵ͺ ͳͶͷǤͻͷ ൌ ͳͻʹͷ͵Ǥ͵ʹ ݉ܿ ସ ʹͲ
WĂƌĂĞůDсϭϳϲŬŐŵ
ͳ ൈ ͳͲଶ ሺͳͶǤͶ͵ͷሻ ݂݃݇ ൌ ͳ͵Ǥͳͻ ͳͻʹͷ͵Ǥ͵ʹ ݉ܿ ଶ ͳ ൈ ͳͲଶሺ ͻǤͷʹͷ ሻ ݃݇ ߪ ൌ െ ൌ െͺǤͶͳ͵ ଶ ݉ܿ ͳͻʹͷ͵Ǥ͵ʹ ߪ௧ ൌ
ϲϳϱdžϮϰϯϳϱΔϮсϰϬϭϬϰϰϵ ϭϳϲϰϱϵϳϲϱ...