受扭圆轴,直径d=20mm,圆轴的材料为 钢,E=200GPa,V=0.3.现测得圆轴表面上与轴线成450方 向的应变为ε=52×104,试求圆轴所承受的扭矩 O1=O,=0O3=-7 45 O,-V0,+O E 1+V E E 11160+p)÷25多+ cards ×200×103×丌×2 16(1+0.3一受扭圆轴,直径d=20mm,圆轴的材料为 钢,E=200GPa,ν=0.3.现测得圆轴表面上与轴线成450方 向的应变为ε=5.2×10-4 ,试求圆轴所承受的扭矩. T 0 45 Wp T = 1 3 = 1 2 = 0 = − 3 ( ) 1 1 2 3 1 = − + E = + E 1 1 E + = 1 ( ) + = 16 1 3 E d T 16(1 0.3) 5.2 10 200 10 2 4 3 3 + = =125.7Nm