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Grace Gibbs
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1 Seria : 0 GH1_ME Strength of Materia_1019 Dehi Noida hopa Hyderabad Jaipur Lucknow Indore une hubaneswar Kokata atna Web: E-mai: info@madeeasy.in h: LSS TEST MEHNIL ENGINEERING Subject : Strength of Materia Date of test : 1/0/019 nswer Key 1. (c) 7. (c) 1. (d) 19. (a) 5. (d). (b) 8. (c) 1. (b) 0. (b) 6. (c). (d) 9. (c) 15. (b) 1. (d) 7. (c). (a) 10. (c) 16. (a). (c) 8. (c) 5. (b) 11. (b) 17. (b). (d) 9. (a) 6. (c) 1. (b) 18. (a). (b) 0. (d)

2 T-019 ME Strength of Materia 7 Detaied Expanations 1. (c) M Loading diagram Shear force ( ) diagram M/L M/L. (b) Load () 5 kn 5 10 N Stress 100 Ma 100 N/mm We know that, σ impact σ static Impact factor For suddeny appied oad, Impact factor Here for safety σ impact shoud not exceed 100 Ma. σ static 50 σ Impact factor 50 N/mm Impact 100 π d d 11.8 mm. (d) d. Q S R T. Q R S T. Q R S T. Q R S T. Q R S T. Q R S T D. Q R S T 5. Q R S T

3 8 Mechanica Engineering. (a) kx T x T θ k x Td x GJ 1 1 Td k x x dx GJ GJ 0 k GJ x k GJ 0 5. (b) M e (σ b ) My 5e (tensie) I I xx xx Tota stress at (σ a ) (compressive) 5e (compressive) I xx 6. (c) For beam of uniform strength, maximum bending stress remains constant throughout. 7. (c) ccording to the given conditions 50 Ma 60 Ma 60 Ma 50 Ma σ 1, σ 1 1 ( σ +σ ) ± ( σ σ ) + τ x y x y xy 1 ( σ +σ ) + ( σ σ ) + τ x y x y xy

4 T-019 ME Strength of Materia (60 50) + ( ) + τ τ xy Ma xy 8. (c) d t σ per ( ) Interna pressure, Ma (1750 ) 5 9. (c) π E I e ( L ) L e Effective ength of coumn For both end fixed, L e e e π EI 10. (c) verage force, F d dt mv t ( u) ( ) N or kn (b) ross-section remains pane and undistorted for circuar shaft ony but not for non-circuar shaft. 1. (b) ritica oint T 500 Nm τ s σ a + σ b σ a + σ b M e σ a σ b Ma π 50 My I π (50) N Ma

5 10 Mechanica Engineering τ s 16T Ma π (50) 66. Ma 66. Ma ccording to MDET, x x y yt σ + τ S N N Ma 1. (d) R 1 R, 1 F K K R D R F or R D R + R D F δ 1 + δ K K 1 R ( R F) + 0 K K R F U F 1 1δ 1 K1 1 F F F K 8K 1. (b) w y use of superposition principe / 1

6 T-019 ME Strength of Materia 11 w w / δ 1 δ δ We know that δ w 8E I For case ().M.D δ w w + 6EI 8EI w w + 96EI 18EI δ 1 w w w ( δ δ ) 8EI 96EI 18EI 8w w w 8E I 1w 8E I 15. (b) 16 T e 6 τ aowabe d 16.7 mm...(i) M e and σ aowabe d mm...(ii) From (i) and (ii), we get d 16.7 mm 16. (a) 17. (b)

7 1 Mechanica Engineering diameter (d) 10 mm radius (r) 5 mm θ π radian τ 0 N/mm G.7 10 N/mm We know that, τ r Gθ L L Gθ r π τ mm 1.05 m 1.1 m 18. (a) The extension of the rod is given by, δ πed d δ 5 π µm 6.7 µm 19. (a) Given: E N/mm y max t y max 1 mm R 000 Maximum bending stress: 1000 mm R Ey (σ b ) max max Eymax Eymax R t 1 R R + t R >>> N/mm 0. (b) hange in voume i.e. diatation, σ x + σ y + σz v ( 1 µ ) E Diatation (sum of norma stresses) Diatation 1 E E G(1 + µ) Reationship between E and G µ 0.1 : for concretes

8 T-019 ME Strength of Materia 1 1. (d) µ : for eastic materias µ 0.5 : rubber Largest possibe vaue of µ is 0.5. E G 1 ( +µ ) ; s (1 + µ) > 0, G < E y σ x 80 N/mm. (c) For zero strain in, s y 0 σ y E D σ µ x E σ E E σ N/mm for auminium, µ 0. for rubber, µ 0.8 to 0.5. (d) Let us draw Free ody Diagram of and separatey : µ < µ r, auminium resists atera deformation more effectivey than rubber. 900 N x 1. m 1.8 m y y ΣM 0, y y N

9 1 Mechanica Engineering xy x N m x M y Sum of a moments at for entire frame: 8 M M M 600 Nm. (b) σ N/mm, σ 50 N/mm, σ 0 ccording to maximum principa stress theory, σy σ 1 FOS 5. (d) FOS ccording to maximum shear stress theory, σy τ max, absoute FOS FOS.5.5 kn x 5. kn 0.5m 0.5m 1 m 1.5 m 1.5 m x M x ( ) M x M x 18.5 knm

10 T-019 ME Strength of Materia (c) 7. (c) U 1 W δ W U 7000 δ N δ D 1 mm 1. mm Maximum shear stress, τ max 8. (c) 8WD π ( 1.) 6.8 Ma L L L L L rea of bending moment, 1 L L L 8 L L x + x 5 L 6 δ x E I L 5L 1 5L 8 6 EI 8EI 9. (a) Given, σ Ma σ 50 Ma, σ 5 Ma S yt 0 Ma, For maximum shear strain energy theory,

11 16 Mechanica Engineering S yt (σ 1 σ ) + (σ σ ) + (σ σ 1 ) N [Where, N factor of safety] (100 50) + (50 5) + (5 100) 0 N fter soving, Factor of safety, N.6 ~. 0. (d) 1 55 φ 1 1 Shear strain, φ tan radian τ ab Ma Shear moduus, G τ φ Ma

Delhi Noida Bhopal Hyderabad Jaipur Lucknow Indore Pune Bhubaneswar Kolkata Patna Web: Ph:

Serial : IG1_CE_G_Concrete Structures_100818 Delhi Noida Bhopal Hyderabad Jaipur Lucknow Indore Pune Bhubaneswar Kolkata Patna Web: E-mail: info@madeeasy.in Ph: 011-451461 CLASS TEST 018-19 CIVIL ENGINEERING