S D Rajan, Introduction to Structural Analsis & Design ( st Edition) Errata Sheet for S D Rajan, Introduction to Structural Analsis & Design ( st Edition) John Wile & Sons Publication Chapter Page Correction 9 The concentrated force shown in Fig E(i) should be 000 lb not 00 lb In Set, the last equation should be the moment equation about B not O 4 Eample 4: Correct to read "[using Eamples (a), (b), (e)]" and third paragraph, change "Eample (c)" to "Eample (e)" 8 Third line Eqn should read F 0 A R cos 0 B not F 0 A R cos 0 B 9 In the check substep, is missing in the moment equation 40 Problem 5 The concentrated moment should have the units k-ft not k/ft 49 & Step 4: Joint D, replace FCE with FCD 50 54 Fig P74: The roller support should be labeled E 70 Section 8Third sentence should read "Such a graph" not "Such as graph" 79 ast paragraph, item : The equations numbers should be (8) and (84) 8 Second line: The final epression for the moment should be not 5 5 8 In the table, row corresponding to segment CE, the moment epression should have the third term as 4 not 4 85 Problem 8 Change the support at A from a fied support to a pin support 88 Moment equation under Fig E87(d) should read 0 M C 00 The sign before 00 is minus not plus 89 Fig E88(a) is not drawn to scale 97 The direction for the shear force in Fig E80(e) should be reversed Hence the epression for V() and the direction in Fig E80(f) should be reversed 98 Fig E80(g) The curvature shown for member BC is incorrect The bottom fiber is actuall in compression 0 Problem 8: Change the support at D from a roller support to a pin support 9 Above Eqn (45), the sentence should read We use Eq (84) not We use Eq (84) Sept, 04 - S D Rajan
S D Rajan, Introduction to Structural Analsis & Design ( st Edition) The formula for moment of inertia for the smmetric I-section is incorrect wt wt f f dw t f f f td w w The correct formula is I 6 In Step, it should be stated that Vma is at supports A and B not along the entire length of the beam 5 Eample Results from Eample 87 have not been copied properl into this eample The aial force in column AB is 500 lb not 500 lb Hence the computed compressive stress should be -67 psi The largest shear stress in beam BC occurs at C not at B The largest bending stress is 09 psi since the largest bending moment is 565 lb-ft (at a distance of 5 ft from C) not 5 lb-ft 6 Problem 6 The distance 0 in in Fig P6(a) is from the bottom of top flange to the top of bottom flange Hence the total height of the beam crosssection is 4 in 58 Wind analsis procedure Step 4: The term in the equation is v not v 6 In the table titled Design Pressures, the second term in the equation for p should read qhgc pi not pi qh GC 6 In the table titled Design Pressures, the epressions under the ( GC) pi column has an error The last component of the epression should read -90(- 08) not -90(08) 67 For both For warm roofs and For cold roofs change 0 70 to 70 7 In the 5 th sentence, change f '( ) 8 4 to f '( ) 8 4 8 w w Equation (E7a) change ma to ma 4b 4b 8 sentence above Fig E7(b), change V 00,69in to V 0,69in 8 ast sentence, change b 00845 4h to b 00845 4b 8 sentence above Observation, change V 0,088in to V 0,69in 86 P P Eqn (E74b) should read ri not ri 056 56 4 9 Second paragraph, last sentence Delete the first occurrence of the word "used" 4 6 Third paragraph starting with "The computation " "The virtual unit load is applied at A" should read "The virtual unit load is applied at C" 4 0 In Fig E45(b), the vertical reaction at A is shown to indicate that in a later step its value will be used The correct direction for the reaction in the SV is downwards not upwards 4 For segment AB, in FBD(SV), the reaction at A should be 0 not 05 4 4 Eternal oads "et us assume that is " should read "et us assume that it is" 4 4 Eternal oads "let the force in a tpical member b N" should read "let the force in a tpical member be N" 4 7 Eample 455 Step "is the fabrication " should read "is the fabrication Sept, 04 - S D Rajan
S D Rajan, Introduction to Structural Analsis & Design ( st Edition) error" Step "On can imagine " should read "One can imagine" 4 40 Problem 454 The problem statement should read I BC IAB I not I BC IAB I 5 55 Step In the table, the FBD for segment DB has an error The reaction at A labeled 0 should act upwards not downwards 5 6 Problem 55 The roller support should be labeled B not A 5 64 Step 4: Equilibrium equation should be F 0 A C 5 A 5kN 5 66 In the equation for D the moment epression in the first term should read not In the net line, C should actuall be D 5 66 Step 4 Equation should be moments about C not A 5 67 Fig E57(e) Bending moment at B should be 85 not 5 5 7 Second paragraph, Second sentence: Instead of "We now eamine" read "We now eamine such a truss (simplified with joint E removed) in greater detail" 5 7 In Fig 5(b), remove the vertical concentrated force acting at A 5 77 Problem 5 The load should be 0 kn not 0 k 5 79 Problem 56: The truss joint smbols are missing at joints B and J 5 8 In Fig 546(b) and (c), remove the horizontal concentrated force acting at A 5 86 The second term in the epression for AB should be not 6 6 Step 4 Second Equation The term multipling MA should be (9/4EI) not (9/EI) 5 90 The limits of the integral for B are from b to and not from 0 to 5 00 General Procedure Step The figure number should be 5 not 5 5 04 In Fig E5(d), the arrows representing VBR and C should be pointing up 5 4 In FBD IV, the direction of V B should be down not up 5 Change Substituting () and (4) in the above equation to Substituting () and (5) in the above equation 5 The label B in FBD of member BC (top of page) should read B since this force changes between the FBD for AB and FBD for BC 5 5 Change the right hand side of Equation (C) from 74875 to -74875 5 7 At the bottom of the page: "From the FBD of beam BD, we have" should be followed b M B 0 not M D 0 5 8 Problem 5 Without a roller support at B, the problem is eactl the same as Problem 56 Introduce a roller support at B Sept, 04 - S D Rajan
S D Rajan, Introduction to Structural Analsis & Design ( st Edition) 5 Problem 54 Write the two Slope-Deflection equations for M AB and M BA as usual simplif the equation for M AB 5 Problem 5 The support at D should be a roller support capable of moving horizontall 5 Problem 56 Dimensions are missing Take the dimensions to be the same as those used in Problem 5, ie each span is 5 m 6 7 Eqn (6) should have Am n not Am 6 8 In the definition of the upper triangular matri, change i < j to i > j In the definition of the lower triangular matri, change i > j to i < j 6 44 Fig 64 The displacements (degrees-of-freedom) should be labeled D, D and D 6 46 Problem 6 The applied load should be 0 lb not 0 lb/in 6 5 In the line to the right of the word SOUTION, change "see page 6" to "see page 50" 6 56 Step 4: D should be -44467e- not 44467e- 6 60 Problem 6: The truss joint smbol is missing at joint 6 60 Problem 6: The truss joint smbol is missing at joint 4 6 68 The label in Fig 69(a) should be w not W 6 70 and 7 6 74 and 75 Element Stiffness: The signs of the entries in locations (,6), (6,), (5,6) and (6,5) need to be reversed Element Stiffness: The signs of the entries in locations (,6), (6,), (5,6) and (6,5) need to be reversed Element Stiffness: The signs of the entries in locations (,6), (6,), (5,6) and (6,5) need to be reversed Element Stiffness: The signs of the entries in locations (,6), (6,), (5,6) and (6,5) need to be reversed 6 77 Renumber all the problems in this Eercise b decreasing the problem number b one - the problems are from 6 through 60 NOT 64 through 6 6 8 Eample 6 The left side of the second equation in the solution should read U not U 0 6 97 EA Eqn (646) The entr at row, column 4 should be not 0 6 99 Eample 64 The element load for element should read ' q 6 0 5000 5000 0 5000 5000 6 99 Element : k 4 not k 4 6 40 ' ' ' ' Third sentence: Change " f4, f8 are torsional moments" to " 4, 0 torsional moments" 6 44 In Eqn (650), the fifth component in the ' 6 q should read f f are Sept, 04 - S D Rajan 4
S D Rajan, Introduction to Structural Analsis & Design ( st Edition) q q q ' ' ' not q q q6 ' ' ' 5 6 In Fig 654(b) the equivalent joint load on the right end of the member should be a 6 49 Eqn (65) The second term in the parenthesis should read +cjdj not -cjdj The same correction should be made to the epression shown on the first line following Fig 65 6 44 The 87 k reaction at the second node in Fig E654(c) should be acting downwards not upwards The 44 k-ft moment reaction should be counterclockwise not clockwise 7 446 Member cross-sectional properties: Delete the contents within the parenthesis "(the rough 6 mm)" and change the Area to 08 m and the Moment of inertia to 07 m 4 Make the corrections as a result of this on the output shown on page 448 7 447 Element Data Table There is NO element Delete the second row in the table 8 505 Eample 8 Make the following corrections 0 4 4 * * * : ; ; f( ) * * * : ; ; f( ) * * * The final solution is as follows: f,, 8 5 Table on top of page The Decimal value associated with Binar 00 should be 857 not 557 8 55 Third line " point in chosen" should read " point is chosen" 8 5 The solution presented is incorrect Change the upper bounds to 50 (instead of 0) The final result is h=65 cm and f() = 77 cm 8 59 Fig 87 The truss on the top right is incorrect Its (member arrangement) should be eactl the same as the truss on the top left 8 55 Fig 874: abel the element between C and E as 9 not 7 8 557 The material should be 0% HR steel 8 56 Problem 885 and Problem 886 The material should be 0% HR steel Answers to Selected Problems 64-6 Problem (c) The answer should be9(0 )slug/in not the value of a force 644 Problem 78 Change FHC=FFC=506 lb(t) to FHG=FFG=506 lb(t) 645 Problem 88 Change the shear force at B from -77 to -7 Sept, 04 - S D Rajan 5
S D Rajan, Introduction to Structural Analsis & Design ( st Edition) Appendi E Inside back Cover Inside Front Cover First Page Inside Front Cover 645 Problem 8 The curvatures shown in the moment diagram should be opposite of what are shown in the figure 649 Problem 6 The required inner radius is 07 in with a wall thickness of 0 in 650 Problem 47 Both the rotations are clockwise Problem 56 The reaction labeled C should actuall be D 65 Problem 5: MCD should be -6 k-ft 654 The solution labeled 68 should actuall read 69 654 The solution labeled 69 should actuall read 60 664 The unit for Area is in not in and 665 657 Problem 75(c): The fiit conditions for node should be "free, free, hinge" not "free, fied, hinge" 679 In section d the second derivative of the cubic function should read f "( ) 6a b not f "( ) 6a b 679 The line tpes (light solid and dashed lines) for the first and the second graphs are switched The formula for the fied-end moments for a concentrated load should read Pa b FEM BA The figure has the right epression At t r Make the same correction in Area of the pipe should read Appendi B w The rotation at B on the cantilever beam with the UD should read B 6EI w not B 6EI The formulae for the moment of inertia of the rectangular hollow tube section account onl for the outer rectangle The contribution from the inner rectangle needs to be subtracted Make the same correction in Appendi B I I bt hw bh S 05h w I I hw bt hb S 05b t Sept, 04 - S D Rajan 6