A cantiliver beam A m long carries a uniformly distributed load of 18 kN/m throughout its length and a concentrated load of y kN at mid-length. To minimize the displacement, a spring support is added at the free-end. Given: Spring constant, K = 0.10 mm for every 1 kN of compressive load Flexural rigidity, El = 2500 kN.m² w=18 kN/m # 10 Use: Y= 29 A = 8 Calculate the reaction (KN) at the spring support. #11 The spring support compressed by 0.5 mm, what is the resulting reaction in KN? #12 If the reaction at the spring support is 25 KN, what is the resulting moment (kN.m.) at the fixed end?

A cantiliver beam A m long carries a uniformly distributed load of 18 kN/m throughout its length and a concentrated load of y kN at mid-length. To minimize the displacement, a spring support is added at the free-end. Given: Spring constant, K = 0.10 mm for every 1 kN of compressive load Flexural rigidity, El = 2500 kN.m² w=18 kN/m # 10 Use: Y= 29 A = 8 Calculate the reaction (KN) at the spring support. #11 The spring support compressed by 0.5 mm, what is the resulting reaction in KN? #12 If the reaction at the spring support is 25 KN, what is the resulting moment (kN.m.) at the fixed end?

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

A uniformly-distributed load w is supported by a structure consisting of rigid bar BDF and three rods. Rods (1) and (2) are 16-mm- diameter stainless steel rods that have an elastic modulus of E= 185 GPa. Rod (3) is a 23-mm-diameter bronze rod that has an elastic modulus of E= 100 GPa. Use a = 1.4 m and L = 2.6 m. For a load magnitude of w = 30 kN/m, calculate (a) the normal stress in each rod. (b) the vertical deflection of the rigid bar at F. (1) B Answers: (a) 0₁ = i (b) VF = i a D 2 2a W E F MPa, 0₂ = mm IN i MPa, and 03 i MPa
Two vertical forces are applied to a simply supported beam, having the cross section shown. Assume LAB=LCD=2.0 m, LBc=6.9 m, P=19 kN, bf=180 mm, t₁=14 mm, tw=9 mm, d=159 mm. Determine the maximum tension (a positive number) and compression (a negative number) bending stresses produced in segment BC of the beam. A Answers: OmaxT maxC = LAB i i P B LBC bf + Cross section MPa MPa P LCD D X
q2: A load P is supported by a structure consisting of rigid bar BDF and three identical 15-mm-diameter steel E = 200 GPa rods, as shown inthe figure. Use a = 2.705 m, b = 1.821 m, and L= 4 M.For a load of P = 117 kN, determine thedisplacement of joint F. Unit should be in mm
A tapered rod with length c = 11 m and cross-sectional dimensions a = 273 mm and b = 57 mm is carrying an axial load P = 67 kN. If the modulus of elasticity of the rod is E = 197 GPa, determine the elongation of the rod in mm. P P C a a a P P
A wide flange is used as a beam that is simply supported at its ends.The properties are shown.A = 19600 mm². by = 229 mmL = 1249 x10^4mm te=14 mm Tx = 25.4 mm tr = 24.9 mm ly = 49.5 x10^4mm d = 623 mm Ty = 50.5 mm If the beam is laterally supported at supports only, determine the allowable bending stress for a length of; 1. 2m 2. 4m 3. 6m 4. 8m
The steel beam has the cross section shown. The beam length is L = 6.4 m, and the cross-sectional dimensions are d = 345 mm, by = 205 mm, t = 16 mm, and tw = 7 mm. Calculate the largest intensity of distributed load wo that can be supported by this beam if the allowable bending stress is 215 MPa. Answer: Wo Wo kN/m T₁₂ y
AW410 x 60 standard steel shape is used to support the loads shown on the beam in the figure. Assume P = 130 kN, w = 27 kN/m, a = 2.8 m, and b = 2.0m. Determine the magnitude and location of the maximum bending stress in the beam. A max = x = a i i B a → Pin |C * b W MPa m D a E
A steel column with the cross section shown has a 14.9-ft effective length. Using Allowable Stress Design, determine the largest centric load that can be applied to the column. Use øy= 36 ksi and E = 29 × 106 psi. in. H 6 in. 10 in. in. The largest centric load that can be applied to the column is kips.
A simply-supported beam with length, L = 10 m, is carrying a downward uniform load, w = 31 kN/m throughout its length. The cross-section of the beam is shown in the figure with a = 480 mm, b = 24 mm, c = 24 mm, and d = 177 mm. Determine the maximum flexural shear stress in MPa. 19 a tot a fof d *
3.6 m F A (1) 2.4 m Rigid bar B (2) E 1.8 m (3) C D X 3.0 m The assembly shown consists of a rigid bar ABC, two fiber-reinforced plastic (FRP) rods (1) and (3), and FRP post (2). The modulus of elasticity for the FRP is E = 16 GPa. Determine the vertical displacement of joint D relative to its initial position after the 34 kN load is applied to the nearest .1mm. A1 = 500 mm^2 A2 = 1,384 mm^2 A3 = 536 mm^3
A wood beam is strengthened using two steel plates as shown in the figure below. V 6 mm 150 mm 6 mm |B 100 mm i The beam has simple supports and an overhang and is subjected to a point load and a uniform load as shown in the figure below. 13 KN q= 5.0 kN/m с 3 m Calculate the maximum tensile and compressive stresses of the beam. Assume that E = 11 GPa and E = 200 GPa. (Enter your answers in MPa. Use the deformation sign convention.) maximum tensile stress in wood MPa maximum tensile stress in steel MPa MPa maximum compressive stress in wood maximum compressive stress in steel MPa Need Help? Read It B 000 +1m-
Question 2) Find the shear center of the section below and calculate the maximum shear stress that occurs in the section as a result of the loading shown in the figure. The section thickness is uniform everywhere and is 10 mm. Note: G.M is the geometry center of the section, the shear force of 40 kN acts from the geometry center of the section. You can look at your lecture notes for the coefficients you will need. 160 mm V-40 kN t LG.M 100 mm