Q2 The beam shown in Figure Q2 is loaded with a triangular distributed load from A to B, and a uniform distributed load from B to C. The cross-section is a hollow rectangle, 60 mm x 120 mm, with constant wall thickness of 8mm. The material is Steel, with a Young's Modulus, E = 200 GPa, Poisson's ratio, v = 0.3, and co-efficient of thermal expansion a = 12 x 10-6/°C. w = 0 kN/m A m x Q2 contd. 2m B w = 5 kN/m 2m Fig. Q2 ➜ 60 mm t = 8 mm->> + Cross-section (a) Draw a Free Body Diagram of the beam and determine the reactions at the supports. 120 mm (b) Use the Method of Sections to determine expressions for the bending moment along the beam length. MEE1004/2021 (c) Determine the normal stress (ox) on the bottom of the beam at x = 2.5 m. State whether it is tensile or compressive.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Q2
The beam shown in Figure Q2 is loaded with a triangular distributed load from A to B, and a
uniform distributed load from B to C. The cross-section is a hollow rectangle, 60 mm x 120 mm,
with constant wall thickness of 8mm. The material is Steel, with a Young's Modulus, E =
200 GPa, Poisson's ratio, v = 0.3, and co-efficient of thermal expansion a = 12 x 10-6/°C.
|x
w = 0 kN/m
A
ford
K
Q2 contd.
2m
B
><
w = 5 kN/m
2m
Fig. Q2
➜
60 mm
t=8mm->> ←
Cross-section
(a) Draw a Free Body Diagram of the beam and determine the reactions at the supports.
120 mm
(b) Use the Method of Sections to determine expressions for the bending moment along the beam
length.
MEE1004/2021
(c) Determine the normal stress (a) on the bottom of the beam at x = 2.5 m. State whether it is
tensile or compressive.
(d) If the loaded beam is subjected to a temperature increase of 50°C, determine the transverse
strain, &, at the bottom of the beam at x = 2.5 m.
Transcribed Image Text:Q2 The beam shown in Figure Q2 is loaded with a triangular distributed load from A to B, and a uniform distributed load from B to C. The cross-section is a hollow rectangle, 60 mm x 120 mm, with constant wall thickness of 8mm. The material is Steel, with a Young's Modulus, E = 200 GPa, Poisson's ratio, v = 0.3, and co-efficient of thermal expansion a = 12 x 10-6/°C. |x w = 0 kN/m A ford K Q2 contd. 2m B >< w = 5 kN/m 2m Fig. Q2 ➜ 60 mm t=8mm->> ← Cross-section (a) Draw a Free Body Diagram of the beam and determine the reactions at the supports. 120 mm (b) Use the Method of Sections to determine expressions for the bending moment along the beam length. MEE1004/2021 (c) Determine the normal stress (a) on the bottom of the beam at x = 2.5 m. State whether it is tensile or compressive. (d) If the loaded beam is subjected to a temperature increase of 50°C, determine the transverse strain, &, at the bottom of the beam at x = 2.5 m.
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