Two vertical forces are applied to a simply supported beam, having the cross section shown. Assume LAB LCD=2.0 m, Lec-5.1 m, P=10 kN, b-200 mm, t-10 mm, t-6 mm, d=175 mm. Determine the maximum tension (a positive number) and compression (a negative number) bending stresses produced in segment BC of the beam. Answers: OmaxT = Omaxc= LAB Ma B LBC by T tw Cross section MPa MPa LCD X

Two vertical forces are applied to a simply supported beam, having the cross section shown. Assume LAB LCD=2.0 m, Lec-5.1 m, P=10 kN, b-200 mm, t-10 mm, t-6 mm, d=175 mm. Determine the maximum tension (a positive number) and compression (a negative number) bending stresses produced in segment BC of the beam. Answers: OmaxT = Omaxc= LAB Ma B LBC by T tw Cross section MPa MPa LCD X

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

2. Two rods connected as shown carry a vertical load of 20 kN. Rod AB is a steel rod with E = 2 X10 MPa while rod BC is made up of aluminum whose E = 7x10¹MPa. The rods are rigidly pinned at A and C and have cross-sectional areas equal to 400 mm². If a is changed from 30° to 45°, compute: (a) stresses in each rod. Specify if tensile or compressive stress (b) deformation of each rod. Specify if elongation or shortening. B P=20 KN L=3m α=30° 70=30° L=2m
Determine the maximum tensile stress and maximum compressive stress due to the load P acting on the simple beam AB (see figure). Data are as follows: P= 5.4 kN L=3.0 m d=1.2 m b=75 mm t_=25 mm h=100 mm h1=75 mm c1=62.5 mm c2=37.5 mm, and l= 3.3203x10⁶ mm⁴
6.59 A square section as shown in the figure below is subjected to bending moment M. (c) Obc = Obl y || h y H What is the maximum bending stress? (a) Obc = obt 12M h³ 9M 2h³ JXC h (b) bc = Obt = (d) %bc =%bt = 6M 4³ 9M h³
A beam having the cross section shown is subjected to a couple M0 acting in a vertical plane. Determine the largest permissible value of the moment M0 of the couple if the maximum stress is not to exceed 103 MPa. Given: Iy = Iz = b4/36 Iyz = b4/72
P = 9 kip 2 in. 1 in. 1.5 ft The aluminum post shown in the figure is reinforced with a brass core. If this assembly supports an axial compressive load of P = 9 kips applied to the rigid cap, determine the average normal stress in the aluminum and the brass. Take Eal=10103ksi and Ebr= 15103ksi.
determine the tensile stress in each segment of the bar shown. Segment AB cross section 2in x 2in. Segment BC has a circular cross-section with a diameter of 1.75 in . The tensile load P= 75 kips
Compute for the maximum allowable distributed load o that can be applied to the simply supported beam as shown in Figure M-Va. The beam's cross section is detailed in Figure M-Vb. @(N/m) Allowable Stresses: Fiber Stress = +13.5 MPa / -12 MPa Transverse Shear Stress at NA = 900 kPa Transverse Shear Stress at Junction 800 2 m Figure M-Va 2 m Draw the flexural and shear stress distributions of the cross section. T 40 40 40 Figure M-Vb 40 120 mm
A simple pin-connected truss is loaded and supported as shown. The load P is 240 kN. All members of the truss are aluminum pipes that have an outside diameter of 135 mm and a wall thickness of 9 mm. Determine the normal stress in each truss member. Assume truss dimensions of a = 6 m, b = 3.75 m, and c = 3 m. Tensile stress is positive, while compressive stress is negative. b D A B Answer: OAB i JAC = i OBC= i OBD i OCD i || a MPa MPa MPa MPa MPa
The beam is loaded by two point forces P. The beam is assembled according to the cross-sectional view by nailing wooden parts with cross-sections of 50 mm x c = 220 mm and 25 mm x d = 260 mm. How large can the value of the load P be when the distance between the nails in the longitudinal direction of the beam is 100 mm, the cross-sectional area of the nail is 9 mm2 and their permissible shear stress is 110MPa? Then calculate the maximum stresses and shear stresses of the beam at that load when the distance between the articulated supports is L = 1.9 m and the length of the beam projections a = 1.3 m. Permissible shear force of one nail? kN Static torque of the cutting surface? mm^3 Maximum torque change in cantilever? kNm Cutting force of the projection? kN Magnitude of force P? kN Calculated with the obtained force P maximum normal stress? MPa shear stress maximum? MPa
3. The figure shows a two-member truss supporting a block of weight W. The cross- sectional areas of the members are 700 mm² for AB and 450 mm² for AC. Determine the maximum safe value of W if the working stresses are 110 MPa for AB and 120 MPa for AC. B 3 12 4 5 W
1. The bar ABCD consists of 3 cylindrical steel segments with different lengths and cross-sectional areas. Axial loads are applied as shown. Calculate the normal stress in each segment in psi unit. Indicate if T or C.Calculate the total axial deformation in Problem #1 if Es = 29 x 10 6 psi . Indicate if the bar elongates or contracts.
3. Two bars are made of a material with the stress-strain diagram as shown. Find the cross-sectional area of each bar so the bars fail at the same time with the load is P = 4 kips. Use a factor of safety of 1.8. 3 ft 4 ft P B σ (ksi) 25 20- 15 10- 5H 0 0 tension. compression 0.20 0.40 0.60 0.80 e (in./in.)