建築構造力学 I ( 第 3 版 ) サンプルページこの本の定価判型などは, 以下の URL からご覧いただけます. このサンプルページの内容は, 第 3 版 1 刷発行時のものです.

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2 建築構造力学 I ( 第 3 版 ) サンプルページこの本の定価判型などは, 以下の URL からご覧いただけます. このサンプルページの内容は, 第 3 版 1 刷発行時のものです.

4 i

5 ii F P = mα g = 980 cm/sec 2 m mg 1 1 m/sec N 1 N kn 1000 N mg m (g) (kg) (t) kg t N kn N/mm 2 kn m F

6 iii

8 v

9 vi

10 (force) (velocity) 0 1 (first law of motion) (acceleration) (mass) m a F a F m F am 2 (second law of motion) k F = kam (2.1) m = 1 g a = 1 cm/s 2 1 (dyne) (2.1) k 1 F = am (2.2) (principal of inertia)

11 4 2 (gravity) g = 980 cm/s 2 m[g] mg 1 kg 1 m/s 2 1 (newton) 1 kg 9.8 m/s N 1 N dyne 1 kn 1000 N A B B A 3 (third law of motion) (law of action and reaction) 2 A B A A scalar vector (magnitude of force) (direction of force) (point of application of force) 3 (three elements of force) 2.1 O OA O (line of force action) (rigid body) 2.1

12 (resultant) (composition of forces) 1 (components) (decomposition of forces) (coplaner forces) 1 O 2 P 1 P 2 2.2(a) 2 OACB OC 2 P 1 P 2 R (parallelogram of forces) (b) (c) 2 P 1 P 2 OAC OBC OC 2 P 1 P 2 R (triangle of forces) (a) O P 1 P 2,, P n (b) P 1 P 2 R 12 R 12 P i R 12 n O P 1, P 2,, P n R (b) (c) O P 1, P 2,, P i,, P n C OC R d

13 O C (force polygon) O C 0 2.4(a) P 1 P 4 P 1 ab P 2 bc (b) abcda a a aa P 1 P 4 R (Bow s notation) O 2 P 1 P 2 R 2.5(a) R R = (P 1 sin α) 2 (P 2 P 1 cos α) 2 = P1 2 P 2 2 2P 1P 2 cos α tan θ = P 1 sin α P 2 + P 1 cos α (2.3)

14 (b) α = π/2 (2.3) R = P1 2 + P 2 2 tan θ = P (2.4) 1 P 2 3 O 2.6 x y O x P i α i R x θ R = ( X) 2 ( Y ) 2 Y tan θ = X (2.5) X Y x y } X = Pi cos α i = R x Y = Pi sin α i = R y (2.6) (2.4) (2.5) 1 R P 2 P 1 P 2 P 1 P P x y x y

15 α x P θ P x P y P x = sin(α θ) P P y = sin θ sin α sin α P (2.7) x y (α = π/2) P x P y 2.9 P x = P cos θ, P y = P sin θ (2.8) (rotation) (moment) N cm kn m 2.10 O 1 P h O P M (+) M = +P h (2.9) O P OO 1 A P 1 (OA) P 2 (OB) R(OC)

16 O 1 P 1 P 2 M 1 M 2 M 1 M 2 R M 2.11 M 1 = OAO 1 2 = OO 1 h 1 M 2 = OBO 1 2 = OO 1 h 2 M = OCO 1 2 = OO 1 h h 1 + h 2 = h M = M 1 + M 2 1 M 1 M 2, M n M M 1 + M M n = M (2.10) (Varignon s theorem) (couple) M (+) 2.12

17 (a) AB 4.1

18 P AB AC CB 4.1(b) AC C C CB N CB Q CB M CB A P x y N CB Q CB M CB X = 0 P cos θ + NCB = 0 N CB = +P cos θ Y = 0 P sin θ + QCB = 0 Q CB = +P sin θ MC = 0 M CB + P S = 0 M CB = +P S (4.1) 4.1(c) CB C AC N CA Q CA M CA X = 0 NCA + P cos θ = 0 N CA = +P cos θ Y = 0 QCA + P sin θ = 0 Q CA = +P sin θ MC = 0 + M CA P S = 0 M CA = +P S (4.2) (4.1) (4.2) N CA + N CB = 0 Q CA + Q CB = 0 + M CA M CB = 0 (4.3) C 4.1 d C 2 1 N CA = N CB = N C Q CA = Q CB = Q C M CA = M CB = M C (4.4) C (internal force) (stress) C 3 N C C (axial force) Q C C (shearing force) M C C (bending moment)

19 (a) AB P 3.5 V A = + b l P sin θ, V B = + a l P sin θ, H A = +P cos θ 4.2

20 (b) AB AC N = +H A = +P cos θ, CB N = 0 N 4.2(c) N 4.2(c) AB (axial force diagram) N (A. F. D. ) (a) 4.3(a) AB AC Q = +V A = + b P sin θ, l CB Q = +V A P sin θ = a l P sin θ Q 4.3(b) Q 4.3(b) 4.3 AB (shearing force diagram) Q (S. F. D. ) 4.3(c) 3

21 (a) 4.4(a) AB AC M = +V A x = + b l P sin θ x x = 0 M A = 0 x = a M C = + ab P sin θ l a(l x) CB M = +V A x P sin θ x a = + P sin θ l x = a M C = + ab P sin θ x = l M B = 0 l AC CB M x 1 M 4.4(b) M 4.4(b) AB (bending moment diagram) M (B. M. D. ) M 4.4(b) M 4.4(b) M (c) V A B +V A l = +bp sin θ B BD A D P sin θ B P sin θ b D DB C CE AD E B AEB M 1 3 N kn N cm N m kn cm kn m

22 (stress diagram) (a) dx (b) w dx M Q A 4.6

23 34 4 M + dm Q + dq + M Q (b) + dq Y = 0 w dx Q + (Q + dq) = 0 dx = w ( ) dx M1 = 0 M + Q dx w dx (M + dm) = 0 2 (4.5) 2 dm dx = Q (4.5) (4.6) (4.6) d 2 M dx 2 = dq = w (4.7) dx M = Q dx (4.8) (4.6) dm/dx 4.6(b) M α M α M α M 4.7 α M (4.8) (4.5) (4.7) dq/dx

24 (b) Q α Q α Q M Q M Q 1 M Q 4.9 M Q (a) M = 0 Q = 0 4.9(b) M = Q = 0 4.9(c) M = Q = 2 M Q 4.10(a) (concentrated load) M Q 3 M Q 4.10(b) (uniform load) M 2 Q 4 M Q 4.10(c) M Q M Q

25 36 4 w (statically determinate beam) 2 (statically determinate rigid frame) 3 (statically determinate truss) 4 (statically determinate arch)

26 AB 4.11

27 206 A acceleration 3 axial force 29 axial force diagram 31 B bending moment 29 bending moment diagram 32 bending stress 116 Bow s notation 6 buckling 148 buckling length 153 buckling load 148 buckling unit stress 151 C cantilever 38 center of curvature 116 center of section 103 centroid 103 components 5 composition of forces 5 compressive strain 96 compressive stress 89 concentrated load 35 condition of equilibrium of forces 16 conjugate beam 140 coplaner forces 5 core of section 125 couple 9 Cremona s stress diagram 80 Culmann s method 82 curvature 116 D decomposition of forces 5 deflection 130 deflection curve 130 deformation 95 direction of force 4 dyne 3 E eccentric distance 124 eccentric force 124 elastic body 98 elastic limit 98 elastic load 138 elasticity 98 equilibrium of forces 13 Euler, L 150 Euler-Bernoulli s assumption 115 external force 18 F first law of motion 3 fiber stress 117 fixed end 18 flexural rigidity 130 force 3 force polygon 6 G Gerber, H. 48 gerber beam 38 Gordon-Rankine 154 gravity 4 H hinged end 18 Hooke s law 98 I indirect load 66 influence line 50 internal force 29 J Johnson, J. B. 154 joint 18 L lateral strain 96 law of action and reaction 4 limit of proportionality 98 line of force action 4 linear strain 96 lines of principal stress 127 link polygon 11 load 21 longitudinal strain 96 M magnitude of force 4 mass 3 mean intensity of shearing stress 89 member 18 method of member substitution 85 method of moment 82 method of section 81 modulus of elasticity 98 modulus of rigidity 99 modulus of section 110 Mohr s stress circle 92 Mohr s theorem 140 moment 8

28 207 moment of inertia of area 105 N neutral axis 114 neutral plane 114 newton 4 normal strain 96 normal stress 88 P panel point 18 parallelogram of forces 5 parmanent strain 98 pin 18 pin joint 20 plane truss 77 planes of principal stress 93 plasticity 98 point of application of force 4 Poisson s number 96 Poisson s ratio 96 polar moment of inertia of area 112 principal axis of area 109 principal moment of inertia of area 109 principal of inertia 3 principal shearing stress 93 principal stress 93 product moment of inertia of area 107 R radius of curvature 116 radius of gyration of area 111 rahmen 20 reaction 21 residual strain 99 resultant 5 rigid body 4 rigid frame 20 rigid joint 20 Ritter s method 82 roller end 18 rotation 8 S scalar 4 second law of motion 3 shear modulus 99 shearing force 29 shearing force diagram 31 shearing strain 97 shearing stress 88 simple beam 38 simple support 18 slenderness ratio 151 slope 130 space truss 77 stable structure 20 statical moment of area 102 statically determinate structure 21 statically determinate truss 77 statically indeterminate structure 21 statically indeterminate truss 77 statics 13 strain 95 stress 29, 88 stress diagram 33 structural design 1 structural mechanics 1 structural planning 1 structure 1, 18 support 18 symmetrical load 67 T tensile strain 96 tensile stress 89 Tetmajer, L. V. 154 third law of motion 4 three elements of force 4 three hinged structure 24 three hinged truss 86 triangle of forces 5 truss 20, 77 U uniform load 35 unit stress 88 unstable structure 20 V Varignon s theorem 9 vector 4 velocity 3 virtual load 138 volume modulus 99 volumetric strain 97 Y Young s modulus 99

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32 I ( 3 ) c FAX Printed in Japan ISBN

noted by Kazuma MATSUDA (force) (mechanics) (statics) (dynamics) O F OA O (point of application) (line of action) (vector) F F F

noted by Kazuma MATSUDA (force) (mechanics) (statics) (dynamics) O F OA O (point of application) (line of action) (vector) F F F noted by Kazuma MATSUDA 2016 5 29 1. (force) (mechancs) (statcs) (dynamcs) 1.1 1 1 O F OA O (pont of applcaton) (lne of acton) (vector) F F F F 1.2 ( ) 1 (kg-wt) (Internatonal System of Unt, SI) kg SI

建築構造力学 I ( 第 3 版 ) サンプルページ この本の定価 判型などは, 以下の URL からご覧いただけます. このサンプルページの内容は, 第 3 版 1 刷発行時のものです.

建築構造力学 I ( 第 3 版 ) サンプルページこの本の定価判型などは, 以下の URL からご覧いただけます. このサンプルページの内容は, 第 3 版 1 刷発行時のものです.