TORSION Plot the internal torque diagram =9.56kN-m Each section in segment BC is a critical section max n B C D T 6.37 4.78 9.56 21
21 ③Plot the internal torque diagram 9 56kN m max T . Each section in segment BC is a critical section. x T n A B C D m2 m3 m1 m4 4.78 9.56 6.37 – –
③绘制姐图==956NmBC段为危险截面 4 B C D T 6.37 4.78 9.56 22
22 ③绘制扭矩图 9 56kN m max T . BC段为危险截面。 x T n A B C D m2 m3 m1 m4 4.78 9.56 6.37 – –
TORSION 83-3 TORSION OF THE THIN-WALLED HOLLOW SHAFTS Hollow round shaft with thin wall Thickness of the wall t<10o (ro: average radius) 1、 Experiment: 1) Preparation: OPlot the longitudinal lines and circumference lines; C 2To act a pair of external dx torque mo 23
23 §3–3 TORSION OF THE THIN-WALLED HOLLOW SHAFTS 1、Experiment： 1). Preparation： ①Plot the longitudinal lines and circumference lines； ②To act a pair of external torque m。 Hollow round shaft with thin wall： 0 10 1 t r （r0 Thickness of the wall : average radius）
§3-3薄壁圆筒的扭转 薄壁圆筒:壁厚t≤1n(m:为平均半径) 、实验 1实验前: C ①绘纵向线,圆周线; dx ②施加一对外力偶m。 24
24 §3–3 薄壁圆筒的扭转 薄壁圆筒：壁厚 0 10 1 t r （r0：为平均半径） 一、实验： 1.实验前： ①绘纵向线，圆周线； ②施加一对外力偶 m
TORSION 2. After deformation (The circumference lines m do not change; @The longitudinal lines are changed into slants 3. Conclusions: O Shape size and distance of the circumference lines on the shaft surface do not change, while rotating with respect to one another along the axis of the shaft 2All the longitudinal lines revolve through a same angle y BAll squares drawn on the shaft surface warp into rhombs with same sizes 25
25 2. After deformation ： ①The circumference lines do not change； ②The longitudinal lines are changed into slants 。 3.Conclusions： ① Shape, size and distance of the circumference lines on the shaft surface do not change ，while rotating with respect to one another along the axis of the shaft。 ②All the longitudinal lines revolve through a same angle 。 ③All squares drawn on the shaft surface warp into rhombs with same sizes