Problem # 4 A 4 in x 3 in steel block follows an elasto-perfectly plastic stress strain relation with a yielding stress 0,-60 ksi and a modulus of elasticity E=30 x 10° psi. The block is reinforced on the top and bottom by 1 in x 3 in plates that are perfectly elastic having a rupture stress O,=60 ksi and a modulus of elasticity E=10 x10° psi. The stress-strain relation for the two materials are given below. • Determine the largest moment M that can be applied to the cross section before it fails. • Determine the magnitude of the distributed load w (kip/ft) that can be applied to a 12-ft beam made of that cross section. w 1 in 4 in. M 1 in 6 ft 6 ft 60 ksi 60 ksi 3 in. Gy AE-30x10 ksi E-10x10 ksi !6x 10 3. stress-strain diagram for 4 in x 3 in stress-strain diagram for 3 in x 1 in plate

Problem # 4 A 4 in x 3 in steel block follows an elasto-perfectly plastic stress strain relation with a yielding stress 0,-60 ksi and a modulus of elasticity E=30 x 10° psi. The block is reinforced on the top and bottom by 1 in x 3 in plates that are perfectly elastic having a rupture stress O,=60 ksi and a modulus of elasticity E=10 x10° psi. The stress-strain relation for the two materials are given below. • Determine the largest moment M that can be applied to the cross section before it fails. • Determine the magnitude of the distributed load w (kip/ft) that can be applied to a 12-ft beam made of that cross section. w 1 in 4 in. M 1 in 6 ft 6 ft 60 ksi 60 ksi 3 in. Gy AE-30x10 ksi E-10x10 ksi !6x 10 3. stress-strain diagram for 4 in x 3 in stress-strain diagram for 3 in x 1 in plate

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

Problem # 4
A 4 in x 3 in steel block follows an elasto-perfectly plastic stress strain relation with a yielding stress
0,-60 ksi and a modulus of elasticity E=30 x 10° psi. The block is reinforced on the top and bottom by
1 in x 3 in plates that are perfectly elastic having a rupture stress O,-60 ksi and a modulus of elasticity
E=10 x10° psi. The stress-strain relation for the two materials are given below.
• Determine the largest moment M that can be applied to the cross section before it fails.
• Determine the magnitude of the distributed load w (kip/ft) that can be applied to a 12-ft beam
made of that cross section.
1 in
4 in. M
1 in
6 ft
6 ft
60 ksi
60 ksi
3 in.
Gy
E-30x10'ksi
E-10x10 ksi
6x 10
stress-strain diagram for 4 in x 3 in
stress-strain diagram for 3 in x 1 in plates

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