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q1 = 20.000¡Á0.800¡Á0.900=14.400kN/m

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q2 = 0.500¡Á0.900¡Á(2¡Á0.800+0.500)/0.500=1.890kN/m

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¾­¼ÆËãµÃµ½£¬»îºÉÔرê×¼Öµ P1 = (1.000+2.000)¡Á0.500¡Á0.900=1.350kN

¾ù²¼ºÉÔØ q = 1.20¡Á14.400+1.20¡Á1.890=19.548kN/m ¼¯ÖкÉÔØ P = 1.40¡Á1.350=1.890kN

1.89kN19.55kN/mA 300 300 300B

ľ·½¼ÆËã¼òͼ

0.158

0.204

ľ·½Íä¾Øͼ(kN.m)

3.880.940.200.202.150.953.882.150.200.20

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16.29kN/mA 300 300 300B

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0.0010.007

ľ·½±äÐÎͼ(mm)

¾­¹ý¼ÆËãµÃµ½´Ó×óµ½ÓÒ¸÷Ö§×ùÁ¦·Ö±ðΪ N1=-0.200kN N2=6.032kN N3=6.032kN N4=-0.200kN

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±¾ËãÀýÖУ¬½ØÃæ¹ßÐÔ¾ØIºÍ½ØÃæµÖ¿¹¾ØW·Ö±ðΪ:

W = 10.00¡Á10.00¡Á10.00/6 = 166.67cm3£»

I = 10.00¡Á10.00¡Á10.00¡Á10.00/12 = 833.33cm4£»

(1)ľ·½¿¹ÍäÇ¿¶È¼ÆËã

¿¹Íä¼ÆËãÇ¿¶È f=0.204¡Á106/166666.7=1.22N/mm2 ľ·½µÄ¿¹Íä¼ÆËãÇ¿¶ÈСÓÚ13.0N/mm2,Âú×ãÒªÇó!

(2)ľ·½¿¹¼ô¼ÆËã [¿ÉÒÔ²»¼ÆËã] ½ØÃ濹¼ôÇ¿¶È±ØÐëÂú×ã:

T = 3Q/2bh < [T]

½ØÃ濹¼ôÇ¿¶È¼ÆËãÖµ T=3¡Á3.877/(2¡Á100¡Á100)=0.582N/mm2 ½ØÃ濹¼ôÇ¿¶ÈÉè¼ÆÖµ [T]=1.30N/mm2 ľ·½µÄ¿¹¼ôÇ¿¶È¼ÆËãÂú×ãÒªÇó!

(3)ľ·½ÄӶȼÆËã ×î´ó±äÐÎ v =0.008mm

ľ·½µÄ×î´óÄÓ¶ÈСÓÚ300.0/250,Âú×ãÒªÇó!

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¾ù²¼ºÉÔØ q = 6.032/0.900=6.702kN/m

×î´óÍä¾Ø M = 0.1ql2=0.1¡Á6.70¡Á0.90¡Á0.90=0.543kN.m ×î´ó¼ôÁ¦ Q=0.6¡Á0.900¡Á6.702=3.619kN ×î´óÖ§×ùÁ¦ N=1.1¡Á0.900¡Á6.702=6.635kN

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±¾ËãÀýÖУ¬½ØÃæ¹ßÐÔ¾ØIºÍ½ØÃæµÖ¿¹¾ØW·Ö±ðΪ: W = 10.00¡Á10.00¡Á10.00/6 = 166.67cm3£»

I = 10.00¡Á10.00¡Á10.00¡Á10.00/12 = 833.33cm4£»

(1)ľ·½¿¹ÍäÇ¿¶È¼ÆËã

¿¹Íä¼ÆËãÇ¿¶È f=0.543¡Á106/166666.7=3.26N/mm2 ľ·½µÄ¿¹Íä¼ÆËãÇ¿¶ÈСÓÚ13.0N/mm2,Âú×ãÒªÇó!

(2)ľ·½¿¹¼ô¼ÆËã [¿ÉÒÔ²»¼ÆËã] ×î´ó¼ôÁ¦µÄ¼ÆË㹫ʽÈçÏÂ:

Q = 0.6ql ½ØÃ濹¼ôÇ¿¶È±ØÐëÂú×ã:

T = 3Q/2bh < [T]

½ØÃ濹¼ôÇ¿¶È¼ÆËãÖµ T=3¡Á3619/(2¡Á100¡Á100)=0.543N/mm2 ½ØÃ濹¼ôÇ¿¶ÈÉè¼ÆÖµ [T]=1.30N/mm2 ľ·½µÄ¿¹¼ôÇ¿¶È¼ÆËãÂú×ãÒªÇó!

(3)ľ·½ÄӶȼÆËã

¾ù²¼ºÉÔØͨ¹ýÉÏÃæ±äÐÎÊÜÁ¦Í¼¼ÆËãµÄ×î´óÖ§×ùÁ¦³ýÒÔ¿ç¶ÈµÃµ½4.579kN/m ×î´ó±äÐÎ v =0.677¡Á4.579¡Á900.04/(100¡Á9500.00¡Á8333333.5)=0.257mm ľ·½µÄ×î´óÄÓ¶ÈСÓÚ900.0/250,Âú×ãÒªÇó!

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-0.20kN 6.03kN 6.03kN 0.10kN/m 900-0.20kNAB

ÍÐÁº¼ÆËã¼òͼ

0.0001.819

ÍÐÁºÍä¾Øͼ(kN.m)

6.076.050.010.01

ÍÐÁº¼ôÁ¦Í¼(kN)

6.056.07

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-0.05kN 4.12kN 4.12kN 0.10kN/m 900-0.05kNAB

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