(P,q0,l,E,J,h)
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(a0,a1,a2,a3)
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x ↦ a1x+a3cos(hxl)+a2sin(hxl)+a0+l2q0x22EJh2
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x ↦ a2hcos(hxl)l−a3hsin(hxl)l+a1+l2q0xEJh2
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x ↦ −a3h2cos(hxl)l2−a2h2sin(hxl)l2+l2q0EJh2
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a0+a3=0
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a1+a2hl=0
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a1l+a3cos(h)+a2sin(h)+a0+l4q02EJh2=0
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a2hcos(h)l−a3hsin(h)l+a1+l3q0EJh2=0
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[[a0=−(hq0(cos(h)+1)−2q0sin(h))l42(EJh4sin(h)−(EJcos(h)2+EJsin(h)2−2EJcos(h)+EJ)h3),a1=−(hq0sin(h)+2q0(cos(h)−1))l32(EJh3sin(h)−(EJcos(h)2+EJsin(h)2−2EJcos(h)+EJ)h2),a2=(hq0sin(h)+2q0(cos(h)−1))l42(EJh4sin(h)−(EJcos(h)2+EJsin(h)2−2EJcos(h)+EJ)h3),a3=(hq0(cos(h)+1)−2q0sin(h))l42(EJh4sin(h)−(EJcos(h)2+EJsin(h)2−2EJcos(h)+EJ)h3)]]
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a0=−(hq0(cos(h)+1)−2q0sin(h))l42(EJh4sin(h)−(EJcos(h)2+EJsin(h)2−2EJcos(h)+EJ)h3)
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−(hcos(h)+h−2sin(h))l4q02(EJh4sin(h)+2EJh3cos(h)−2EJh3)
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hcos(h)+h−2sin(h)hsin(h)+2cos(h)−2
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h2cos(2h2)+h2−sin(2h2)h2sin(2h2)+cos(2h2)−1
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cos(h2)sin(h2)
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−l4q0cot(12h)2EJh3
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a1=−(hq0sin(h)+2q0(cos(h)−1))l32(EJh3sin(h)−(EJcos(h)2+EJsin(h)2−2EJcos(h)+EJ)h2)
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−l3q02EJh2
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a2=(hq0sin(h)+2q0(cos(h)−1))l42(EJh4sin(h)−(EJcos(h)2+EJsin(h)2−2EJcos(h)+EJ)h3)
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l4q02EJh3
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a3=(hq0(cos(h)+1)−2q0sin(h))l42(EJh4sin(h)−(EJcos(h)2+EJsin(h)2−2EJcos(h)+EJ)h3)
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(hcos(h)+h−2sin(h))l4q02(EJh4sin(h)+2EJh3cos(h)−2EJh3)
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l4q0cot(12h)2EJh3
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x ↦ l4q0cos(hxl)cot(12h)2EJh3−l3q0x2EJh2+l2q0x22EJh2−l4q0cot(12h)2EJh3+l4q0sin(hxl)2EJh3
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x ↦ −lq0x2P+q0x22P+lq0cos(x√PEJ)cot(12l√PEJ)2EJ(PEJ)32−lq0cot(12l√PEJ)2EJ(PEJ)32+lq0sin(x√PEJ)2EJ(PEJ)32
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x ↦ 9200√10cos(19√10x)cot(518√10)+1100x2−9200√10cot(518√10)+9200√10sin(19√10x)−120x
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0
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9200√10cos(0.555555555555556√10)cot(518√10)−9200√10cot(518√10)+9200√10sin(0.555555555555556√10)
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1.38777878078145×10−17
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9200√10cos(0.277777777777778√10)cot(518√10)−9200√10cot(518√10)+9200√10sin(0.277777777777778√10)−0.0625000000000000
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0.00435513114356019
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x ↦ (a3h2cos(hxl)l2+a2h2sin(hxl)l2−l2q0EJh2)EJ
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x ↦ 12(l2q0cos(hxl)cot(12h)EJh+l2q0sin(hxl)EJh−2l2q0EJh2)EJ
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x ↦ −1180√10cos(19√10x)cot(518√10)−1180√10sin(19√10x)+150
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x ↦ 2252√10cos(19√10x)cot(518√10)+2252√10sin(19√10x)−405
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−109.951752209348
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−109.951752209348
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57.1860756495529
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(C0,C1,C2,C3)
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x ↦ C0+q0xEJ
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x ↦ C0x+C1+q0x22EJ
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x ↦ 12C0x2+C1x+q0x36EJ+C2
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x ↦ 16C0x3+12C1x2+q0x424EJ+C2x+C3
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x ↦ l2q0x2−2lq0x3+q0x424EJ
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x ↦ 19720x4−1972x3+51944x2
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0.00401877572016461
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0.00435513114356019
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x ↦ (l2−6lx+6x2)q012EJ
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x ↦ 1810x2−1162x+5972
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x ↦ −25x2+125x−6256
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−104.166666666667
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−104.166666666667
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52.0833333333333
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