如下圖所示,若簡支梁之截面寬為 100 mm,高為 200 mm,則梁中點處之中立軸上方 1 cm 之彎曲應力為多少 MPa? 請問詳解 謝謝?

2015-12-16 8:19 am

回答 (1)

2015-12-16 11:21 am
✔ 最佳答案
梁截面寬b=0.1m,高h=0.2m,梁中點中立軸上方y=0.01m, St = ? MPa

I = bh^3/12

= 0.1*0.2^3/12

= 6.667*10^-5 m^4


M = R * L/2

= 50 kN * 3 m

= 150 kN.m

= 15*10^4 N.m


St = M*y/I

= 15*10^4 * 0.01 / 6.6667*10^-5

= 225*10^5 N/m^2

= 22.5 MPa


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